CdR Consciousness of the Real
Exploratory structural framework aimed at studying the internal coherence of reality from its minimal conditions of existence.
Glossary
Reading guide (concise definitions) for Consciousness of the Real (CdR).
CELA
Neutral name designating the substance of the real, understood as an immanent totality without exterior.
Substance of the Real
That which remains through change.
Internal coherence
Non-contradictory compatibility of the internal differentiations of a system.
Immanence
Principle according to which the cause of the real lies in its own dynamics.
Perception of change
Minimal phenomenological evidence according to which something varies.
Minimal act of being
Effective difference implied by the perception of a change.
To exist CdR
To persist within a finite internal contrast.
Ontological finitude
Internal condition excluding definitional extremes.
Unity without uniformity
Unity capable of internal variations without fragmentation of being.
ρ ontological density
Local intensity of presence or cohesion of a system.
C differential complexity
Degree of internal articulation of a system.
Immanence invariant
Structural constraint expressed by the relation ρ·C = kΦ.
Stable regime
Configuration maintaining internal balance between density and complexity.
Self-maintenance
Capacity of a system to preserve its existence through internal compensation.
Internal differentiation
Existence of effective internal contrasts.
Differentiated reactivity
Response depending on the internal structure of the system.
Minimal sensitivity
Reactivity without implication of consciousness.
Immanent dynamism
Character according to which change proceeds from the real itself.
Immanent intelligibility
Property according to which the real is describable because it is coherent.
Complexification
Process by which a simple structure generates more complex structures.
Structural attractor
Equilibrium constraint defining durable regimes.
Theoretical limit
Extreme conceptual configuration used as an analytical tool.
Non-extended state
Theoretical limit of maximal density and minimal positive complexity.
Proto-metric
Internal relations without stable geometric order.
Internal metric
Stable organization of distances and dimensions.
Dimensional axis
Abstract direction of internal organization.
Space-time axis
Indivisible axis combining extension and order.
Axial dimensionality
Number of axes exploited by a system.
Dimensional expansion
Deployment of CELA along multiple axes.
Wave CdR
Repetitive dynamic pattern on an organized surface.
Volume CdR
Coherent portion of three-dimensional space.
Mass CdR
Stable volumetric cohesion manifesting as inertia.
Force CdR
Redistribution of volumetric cohesion.
Energy CdR
Capacity for transformation linked to density and complexity.
Psychophysics CdR
Joint description of the physical and the lived.
Lived organization
Expression of the real as immediate experience.
Material organization
Expression of the real as physical structure.
Consciousness CdR
Emergent mode of organization of CELA.
Generative ontology
Principle according to which the real generates its cognitive forms.
Falsifiability CdR
Conditions whose violation would invalidate the framework.
External verifiability
Capacity to produce consequences confrontable with other domains.
Single principle
Hypothesis of a fundamental principle common to all reality.
Φ field
Internal field modeling the local dynamics of CELA.
Spation Θ
Elementary quantum of spatio-temporal coherence.
Granularity of the real
Existence of irreducible minimal scales.
Non-vacuity
Absence of ontological void.
Exploratory framework
Coherent theory not yet experimentally validated.
CdR Consciousness of the Real
Exploratory structural framework aimed at studying the internal coherence of reality from its minimal conditions of existence.
CELA
Neutral name designating the substance of the real, understood as an immanent totality without exterior.
Substance of the Real
That which remains through change.
Internal coherence
Non-contradictory compatibility of the internal differentiations of a system.
Immanence
Principle according to which the cause of the real lies in its own dynamics.
Perception of change
Minimal phenomenological evidence according to which something varies.
Minimal act of being
Effective difference implied by the perception of a change.
To exist CdR
To persist within a finite internal contrast.
Ontological finitude
Internal condition excluding definitional extremes.
Unity without uniformity
Unity capable of internal variations without fragmentation of being.
ρ ontological density
Local intensity of presence or cohesion of a system.
C differential complexity
Degree of internal articulation of a system.
Immanence invariant
Structural constraint expressed by the relation ρ·C = kΦ.
Stable regime
Configuration maintaining internal balance between density and complexity.
Self-maintenance
Capacity of a system to preserve its existence through internal compensation.
Internal differentiation
Existence of effective internal contrasts.
Differentiated reactivity
Response depending on the internal structure of the system.
Minimal sensitivity
Reactivity without implication of consciousness.
Immanent dynamism
Character according to which change proceeds from the real itself.
Immanent intelligibility
Property according to which the real is describable because it is coherent.
Complexification
Process by which a simple structure generates more complex structures.
Structural attractor
Equilibrium constraint defining durable regimes.
Theoretical limit
Extreme conceptual configuration used as an analytical tool.
Non-extended state
Theoretical limit of maximal density and minimal positive complexity.
Proto-metric
Internal relations without stable geometric order.
Internal metric
Stable organization of distances and dimensions.
Dimensional axis
Abstract direction of internal organization.
Space-time axis
Indivisible axis combining extension and order.
Axial dimensionality
Number of axes exploited by a system.
Dimensional expansion
Deployment of CELA along multiple axes.
Wave CdR
Repetitive dynamic pattern on an organized surface.
Volume CdR
Coherent portion of three-dimensional space.
Mass CdR
Stable volumetric cohesion manifesting as inertia.
Force CdR
Redistribution of volumetric cohesion.
Energy CdR
Capacity for transformation linked to density and complexity.
Psychophysics CdR
Joint description of the physical and the lived.
Lived organization
Expression of the real as immediate experience.
Material organization
Expression of the real as physical structure.
Consciousness CdR
Emergent mode of organization of CELA.
Generative ontology
Principle according to which the real generates its cognitive forms.
Falsifiability CdR
Conditions whose violation would invalidate the framework.
External verifiability
Capacity to produce consequences confrontable with other domains.
Single principle
Hypothesis of a fundamental principle common to all reality.
Φ field
Internal field modeling the local dynamics of CELA.
Spation Θ
Elementary quantum of spatio-temporal coherence.
Granularity of the real
Existence of irreducible minimal scales.
Non-vacuity
Absence of ontological void.
Exploratory framework
Coherent theory not yet experimentally validated.
Combinatorial complexity
Non-linear growth of complexity arising from axis combinations.
Multi-axis regime
Configuration simultaneously exploiting multiple dimensional axes.
Optimal plateau 5–6 axes
Zone of maximal structural efficiency.
Structural bound ≈ 8 axes
Maximum limit of coherent stabilization.
Structural efficiency
Ratio between organizational benefit and complexity cost.
Combinatorial overload
Explosion of complexity exceeding available cohesion.
Structural collapse
Loss of stability due to excessive complexity.
Minimum cohesion threshold ρ_min
Minimal density required to maintain a structure.
(ρ, C) space
Conceptual space parameterized by density and complexity.
Configuration space
Set of possible states of a system.
Proto-space-time
Primitive undivided spatio-temporal structure.
Distance CdR
Internal extensive variation along an axis.
Duration CdR
Internal ordinative variation along an axis.
Motion CdR
Joint evolution of distance and duration.
Velocity CdR
Internal ratio distance / duration.
Acceleration CdR
Variation of velocity between successive states.
Hierarchy of quantities
Order of emergence of physical quantities.
Dynamic surface
Structure arising from the interaction of multiple axes.
Pressure CdR
Distribution of cohesion over a surface.
Volumetric interaction
Dynamic process between coherent volumes.
Action CdR
Coherent sum of transformations over time.
Density–complexity product
Compensation relation between ρ and C.
Invariant kΦ
Characteristic value of a stable regime.
Internal coherence speed (c)
Maximum speed of coherent propagation.
Minimum coherence time (t*)
Minimal duration of internal stabilization.
Minimum coherence length (l*)
Minimal spatial scale of coherence.
Minimum action (ℏ
CdR) Emergent quantum of action.
CdR uncertainty principle
Constraint Δρ·ΔC ≥ constant.
Geometric uncertainty
Indeterminacy arising from structural limits.
6D cell
Elementary unit of CdR pre-geometry.
Triple cells
Internal combinatorial sub-structures.
6D combinatorial structure
Internal organization based on C(6,3).
n/3 motif
Degree of exploratory internal activation.
CdR superposition
Simultaneous coexistence of internal motifs.
CdR entanglement
Non-factorizable global state.
Structural non-locality
Instantaneous redistribution of coherence.
Global functional S
Function governing CdR dynamics.
Global minimization
Search for a global structural minimum.
Internal 6D phase
Internal geometric orientation of motifs.
CdR pre-geometry
Framework prior to 4D space-time.
6D → 4D projection
Process of space-time emergence.
Particle as organizational motif
Relational interpretation of particles.
Fundamental constants
Necessary structural effects.
Standard Model target
Physical organization to be made emergent.
CdR numerical validation
Coherence testing protocols.
CdR Young’s slits test
Simulation of superposition.
CdR EPR–Bohm test
Simulation of quantum correlations.
CdR uncertainty test
Numerical verification of the Δρ·ΔC floor.
Unified ontological framework
Integrated view of the real.
CdR Consciousness of the Real
Exploratory structural framework aimed at studying the internal coherence of the real from its minimal conditions of existence, and at following its consequences without adding external hypotheses.
Internal coherence
Non-contradictory compatibility of the constitutive structures and relations of the real, considered as the primary criterion of validity of the CdR framework.
Structural framework
Conceptual device aimed at describing internal and generative dependencies between structures, rather than an explanatory narrative or an accumulation of postulates.
Perception of change
Irreducible acknowledgment of an effective variation, considered as the minimal evidence from which any analysis of the real can begin.
Generative power
Capacity of a principle or a framework to generate, without contradiction, structures of increasing complexity from minimal conditions.
Structure primacy of
Principle according to which internal relations and generative dependencies take precedence over explanatory narrative or pedagogical progression.
Formalism
Set of technical and structural constructions (diagrams, equations, numerical tests) intended to examine the internal coherence of the CdR framework.
Main text
Level of the CdR corpus presenting conceptual and descriptive content, accessible without recourse to technical formalism.
Associated formalism
Technical level of the CdR corpus allowing direct examination of the framework’s internal structure through formalized diagrams and constructions.
CELA
Neutral name designating the substance of the real, understood as that which exists in itself and makes space, matter, cognition, and consciousness possible.
Substance of the Real
Phenomenological principle designating that which remains through change, without postulating a separate or dogmatic ontological entity.
Minimal act of being
Effective difference implied by the perception of a change, constituting the minimal degree of existence required to think the real.
Architecture of intelligibility
Conceptual organization aimed at rendering physical, psychic, and symbolic phenomena coherent and compatible within a single framework.
External verifiability
Capacity of a conceptual model to produce consequences or predictions confrontable with domains external to its initial framework.
Single principle
Hypothesis according to which a single fundamental principle could underlie space, time, matter, cognition, and consciousness.
Complexification
Process by which a simple structure progressively generates structures of increasing complexity without rupture or external addition.
Fundamental attributes of the Substance of the Real
Minimal properties required for an immanent totality to maintain itself, differentiate itself, and generate structures without contradiction.
Ontological density ρ
Local intensity of being, expressing the degree of effective presence of a system or a region of the real.
Differential complexity C
Degree of internal articulation of a system, describing how its differentiations are structured.
Immanence invariant k
Characteristic value of a stable regime expressing the internal maintenance constraint of a given system.
Stable regime
Configuration in which a system maintains itself over time under the constraint of internal balance between density and complexity.
Structural attractor
Equilibrium constraint expressing the durable regimes of a system, without assuming explicit temporal convergence.
Internal finitude
Condition according to which a system exists only within a finite domain of internal contrast, excluding definitional extremes.
Minimal sensitivity
Minimal property by which a differentiated system reacts distinctly according to its internal structure, without implying consciousness or interiority.
Differentiated reactivity
Capacity of a system to produce different responses to the same perturbation depending on its internal configuration.
Brute causality
Causal relation independent of the system’s internal structure, producing an identical response to identical perturbation.
Self-maintenance
Capacity of a system to preserve its existence through internal compensation between presence and articulation.
Internal differentiation
Existence of effective internal contrasts enabling distinction, reactivity, and stability.
To exist CdR definition
To maintain oneself within a finite internal contrast.
Density–complexity product ρ·C
Minimal relation expressing the constraint of reciprocal compensation between intensity of being and internal articulation.
Falsifiability CdR criteria
Set of empirical or structural conditions whose violation would invalidate the CdR framework.
Minimal psychophysics
Framework jointly describing physical structures and properties of sensitivity without postulating fundamental consciousness.
Deduced unity
Unitary character of the Substance of the Real established as a minimal coherence hypothesis, resulting from the logical impossibility of an exterior existing in itself.
Ontological solitude
Property according to which nothing real can be external to the Substance of the Real; every distinction still belongs to its being.
Eternity CdR
Absence of external cause; time is not prior to the Substance of the Real but emerges from its internal variation.
Indivisibility
Absence of internal boundary separating being; differences are internal and do not constitute ontological cuts.
Ontological continuity
Absence of rupture of being or discontinuity within the Substance of the Real.
Sensitivity CdR sense
Minimal property by which an internal differentiation makes the perception of change possible, without implying consciousness or interiority.
Immanent dynamism
Character according to which change proceeds from the Substance of the Real itself, without external cause.
Immanent intelligibility
Property according to which what differentiates itself in the real can be described; thought expresses the internal coherence of the real.
Ontological finitude
Internal condition of discernible existence, expressed by the impossibility of extremes and formalized by the relation ρ·C = k.
Immanence
Character according to which the cause of the real resides in its own dynamics and not in an external principle.
Unity without uniformity
Unity capable of internal variations, allowing the emergence of forms, phenomena, and consciousness without fragmentation of being.
Psychophysics CdR
Joint description of the physical and lived manifestations of the Real, considered as two simultaneous expressions of the same process.
Material organization
Expression of the Real as the physical structure of the world, including space, forms, and measurable products.
Lived organization
Expression of the Real as immediate experience of the world, prior to any mental elaboration or conceptual representation.
Physical products
Structures and phenomena resulting from the complexification of the Substance of the Real, described in the material register.
Spatial dimension
Degree of extension required to describe a physical structure, characterized by the number of independent coordinates required.
Abstract dimension
Conceptual extension of the notion of dimension beyond perceptual space, including time or theoretical dimensions.
Simple state of the Substance
Limit configuration in which the Substance of the Real is at maximal density without internal differentiation.
Maximum density
Regime in which the entire Substance of the Real is concentrated without discernible spatial extension.
Absence of spatial extension
Situation in which no differentiated spatial dimension is yet definable.
Configuration point
Non-geometric representation of a state of maximal density without spatial extension, used as a conceptual tool.
Non-extended state
Theoretical limit in which the Substance of the Real is at maximal density and strictly minimal complexity, without stable internal metric or defined spatial extension.
ρ-dominant regime
Configuration regime in which ontological density largely dominates differential complexity, favoring cohesion and stability at the expense of variation.
C_min⁺ minimal positive complexity
Minimal non-zero value of differential complexity guaranteeing the existence of internal distinctions without yet allowing stable geometric structuring.
Proto-metric
Minimal relational structure arising from internal differentiation, devoid of stable order, quantified distance, and extensive dimensions.
Internal metric
Stable organization of internal relations allowing the appearance of orders, distances, and extensive dimensions.
Absence of extension non-extended
Situation in which no extensive geometric structure is yet definable, despite the existence of minimal internal relations.
Theoretical limit
Extreme conceptual configuration used to analyze structural transitions, without being postulated as a physical state actually reached.
(ρ, C) space
Conceptual space of the possible configurations of a system, parameterized by ontological density and differential complexity.
Non-extended → extended transition
Continuous process by which increasing complexity leads to the progressive structuring of the proto-metric into an internal metric and then into extended space.
Minimal sensitivity non-extended regime
Lowest degree of differentiated reactivity compatible with non-zero complexity, prior to any rich geometric or perceptual organization.
Extreme point (ρ_max, C_min⁺)
Limit configuration of the (ρ, C) space corresponding to the non-extended state.
Dimensional axis
Independent direction of organization along which the Substance of the Real can distinguish, coordinate, and stabilize its internal structures.
Independent axes
Set of organizational directions treated as distinct, whose combinations contribute to the internal complexity of a system.
Combinatorial complexity
Growth of internal complexity resulting from the possible combinations between independent axes, increasing faster than linearly with their number.
Multi-axis regime
Configuration in which a system simultaneously exploits several dimensional axes to organize and distribute its being.
Optimal plateau 5–6 axes
Range of values of the number of independent axes for which the structural efficiency of a system subject to ρ·C ≈ k_Φ is maximal.
Structural bound ≈ 8 axes
Maximum limit of the number of independent axes that a system can coherently stabilize under the constraint ρ·C ≈ k_Φ.
Structural efficiency
Ratio between the organizational benefit provided by a given number of axes and the complexity cost required to stabilize them.
Organizational benefit
Functional gain brought by increasing the number of independent axes, characterized by saturating growth.
Combinatorial overload
Situation in which increasing the number of axes leads to an explosion of internal complexity exceeding the system’s cohesive capacities.
Minimum cohesion threshold ρ_min
Minimal value of ontological density required to maintain stable structures and avoid system fragmentation.
Structural collapse
Loss of stability or internal coherence resulting from excessive complexity not compensated by the available ontological density.
Configuration space axes
Conceptual space describing the possible configurations of a system as a function of the number of independent axes it exploits.
Spatiotemporal axis
Indivisible dimensional structure simultaneously combining an extensive aspect (variation of position) and an ordinative aspect (variation of state before → after).
First spatiotemporal axis
First dimensional axis stabilized during the deployment of CELA, from which distance, duration, velocity, and acceleration emerge.
Extensive aspect
Component of a spatiotemporal axis allowing distinction of positions and definition of distance-type variations.
Ordinative aspect
Component of a spatiotemporal axis allowing distinction of successive states and definition of duration-type variations.
Distance CdR
Internal extensive variation defined along a single spatiotemporal axis, without reference to a global three-dimensional space.
Duration CdR
Internal ordinative variation defined along a single spatiotemporal axis, prior to any space–time separation.
Motion CdR
Simultaneous evolution of the extensive and ordinative components of the same spatiotemporal axis between two correlated states.
Velocity CdR
Derived quantity expressing the internal ratio between extensive variation and ordinative variation along a single spatiotemporal axis.
Acceleration CdR
Variation of velocity resulting from the comparison of successive states along a spatiotemporal axis.
Proto-space-time
Undivided spatiotemporal structure arising from the exploitation of a single axis, prior to differentiation of the usual spatial and temporal dimensions.
Hierarchy of quantities
Constrained order of emergence of physical quantities along a spatiotemporal axis: distance and duration → velocity → acceleration.
Fundamental dimension
Dimension arising directly from the internal dynamics of CELA, of which the usual spatial and temporal dimensions are derived products.
CELA points
Local representations of the Substance of the Real, non-isolated, existing in permanent interrelation within the space it generates.
Permanent interrelation
Continuous and intrinsic relation among CELA points, ensuring the global coherence of the space filled by the Substance of the Real.
Multi-axial organization
Mode of organization in which complexity is increased by the simultaneous exploitation of several interdependent spatiotemporal axes.
Dimensional expansion
Process by which CELA reduces its local density by deploying itself along an increasing number of spatiotemporal axes, under the constraint ρ·C ≈ k_Φ.
Dynamic surface
Emergent structure arising from the interaction of multiple spatiotemporal axes, enabling the appearance of wave and pressure phenomena.
Wave CdR
Repetitive dynamic motif propagating on a surface organized by at least two spatiotemporal axes.
Pressure CdR
Measure of the distribution of cohesion density over a 2D surface, expressing coherence management when multiple lines of organization interact.
Volume CdR
Coherent portion of 3D space occupied by CELA, interpreted as a capacity to host internal organizational patterns.
Mass CdR
Stable volumetric cohesion of a portion of CELA, manifesting as inertia and resistance to variations of motion.
Volumetric interaction
Process by which coherent volumes of CELA mutually modify their dynamics within a spatiotemporal framework.
Force CdR
Rate of redistribution of volumetric cohesion when one coherent portion of CELA modifies the dynamics of another.
Impulse CdR
Dynamic memory of a coherent volume, expressing the quantity of motion carried by a moving mass.
Energy CdR
Capacity of a system to produce transformations, jointly linked to cohesion density (ρ) and organizational richness (C).
Action CdR
Coherent sum of transformations performed by a system over time, under the coherence constraint ρ·C ≈ k_Φ.
Organizational hierarchy 1D–5D
Complexity scale describing the progressive emergence of physical quantities from coordinated exploitation of spatiotemporal axes.
6D organizational space
Minimal structural space in which stable organizational motifs emerge, independently of any fixed spatial or temporal assignment of axes.
Organizational motif
Emergent physical configuration resulting from combinations, alignments, and rearrangements of spatiotemporal axes.
CdR Consciousness of the Real
Exploratory structural framework aimed at studying the internal coherence of the real from its minimal conditions of existence, without prior metaphysical, doctrinal, or experimental postulate.
CELA Substance of the Real
Name given to that which exists in itself as an immanent totality. Minimal coherence hypothesis according to which everything that exists belongs to the same real, without exterior.
Substance of the Real
That which remains through change. Term used in a phenomenological sense to designate the continuity of the real beyond its apparent forms.
Internal coherence
Structural compatibility of a system’s internal differentiations, condition of its stability and capacity to maintain itself without contradiction.
Perception of change
Minimal phenomenological evidence according to which something varies. Irreducible starting point of CdR analysis.
Internal dynamics
Process by which the real maintains itself and transforms without external cause. Change is the very act of maintenance.
ρ ontological density
Local intensity of existence or cohesion of a system, expressing its capacity to maintain itself as a form.
C differential complexity
Degree of internal articulation of a system, corresponding to the number and organization of its internal distinctions.
k immanence invariant
Characteristic value of a stable regime linking density and complexity. Each system possesses its own k_system.
Relation ρ·C ≈ k
Structural constraint expressing the internal finitude of coherent systems: any increase in complexity requires a redistribution of density.
Minimal sensitivity
Minimal functional property by which an internal differentiation implies differentiated reactivity, without presupposing consciousness or lived interiority.
Differentiated reactivity
Capacity of a system to respond differently to the same perturbation according to its internal state, as opposed to brute causality.
Non-extended state
Theoretical limit in which density is maximal and positive minimal complexity, without stable internal metric or defined spatial extension.
Proto-metric
Minimal relational structure arising from internal distinctions, without stable order, quantified distance, or extensive dimension.
Extension
Emergence of a stable internal metric enabling spatial organization. It is not fundamental but derived from more primitive configurations.
Dimensional axis
Abstract direction of organization along which CELA can distinguish, coordinate, and stabilize structures.
Spatiotemporal axis
Single axis combining extensive variation (position) and ordinative variation (before / after), common proto-form of space and time.
Axial dimensionality
Number of independent axes exploited by a system to organize its internal distinctions, distinct from usual geometric dimensions.
Optimal plateau 5–6 axes
Zone in which the structural efficiency of a system subject to ρ·C ≈ k is maximal, prior to combinatorial overload.
Structural bound at 8 axes
Maximum limit beyond which combinatorial complexity exceeds the minimal cohesion required for system stability.
Physical product
Emergent notion resulting from the interaction of dimensional structures (distance, mass, force, energy, etc.).
Dimension Dn
Axial level indicating how many axes are required to make a given magnitude or structure emerge.
Psychophysics
Domain describing the simultaneous expression of the real as world-structure and as world-experience, without ontological separation.
Self-affection
Process by which CELA modifies itself in response to its own internal differentiations.
qqch something
Formal primitive representing a minimal presence, a raw distinction between presence and absence.
feels
Formal primitive designating self-affection: operation by which a presence becomes felt.
being
Formal primitive representing a stable configuration of a feeling maintained as an identifiable form.
Intensity D1
Minimal perceptual level corresponding to the simple presence of a something.
Sensation D2
Perceptual level corresponding to minimal self-affection involving two interacting poles.
Configuration D3
Perceptual stabilization distinguishing what feels and what is felt.
Transition D4
Level at which action, state, and having appear as passages between configurations.
Relation D5
Perceptual level at which subject, object, and act are explicitly distinguished.
Principle D6
Perceptual level of invariants such as being, having, existing, and consciousness.
Beingness
Principle designating the fact of being as a perceptual invariant, distinct from particular existents.
Havingness
Principle designating the fact of having as a perceptual invariant, distinct from possessed objects.
System D7
Perceptual organization of relations and principles into coherent networks.
Context D8
Global horizon within which systems, principles, relations, and experiences take on meaning.
Generative power
Capacity of a theoretical framework to generate multiple structures without multiplying postulates.
Psychic products
Manifestations of the deployment of CELA in lived experience, parallel to and not separated from physical products.
Psychophysics natural
Fundamentally unified character of the real, manifesting simultaneously as physical structure and as lived experience, without matter/mind dualism.
Consciousness CdR
Emergent modality of organization of CELA, resulting from the progressive complexification of perceptual structures, and not a separate entity added to the real.
Conscious perception
Psychic product arising from the deployment of CELA along axes of perceptual complexification, starting from the minimal structure of sensing.
qqch
Formal primitive designating an indeterminate minimal presence, starting point of all perceptual structure.
feels
Formal primitive designating minimal self-affection: operation by which a presence becomes experienced.
Minimal structure of sensing
Irreducible form of all perception: **qqch feels qqch**.
Perceptual form
Phenomenological stabilization arising from a specific recombination of qqch and feels, producing an identifiable lived category.
Minimal subject
Perceptual configuration in which “qqch feels” is stabilized as the perceiving pole.
Perceived object
Perceptual configuration in which “qqch” is stabilized as that which is felt or perceived by a minimal subject.
Perceiving
Perceptual form corresponding to the structure **qqch feels qqch**, explicitly involving a subject → object relation.
Being
Stable perceptual form corresponding to a configuration in which qqch and feels are stabilized without an explicit perceptual relation.
Existence
Reflexive stabilization of being at a higher level, expressing a maintained presence without direct perceptual implication.
Conscious
Relational perceptual form in which being is recognized as such within a reflexive structure.
Consciousness reflexive form
Emergent perceptual principle corresponding to a stabilized reflexivity of perceiving, being, or existence.
The perceiver
Advanced reflexive perceptual form corresponding to a structuring of the subject as an explicit principle of perception.
Reflexive recombination
Process of grouping and regrouping the primitives qqch and feels producing (or not) stable perceptual forms.
Perceptual stabilization
Condition under which a recombination gives rise to an identifiable, non-redundant, and durable phenomenological form.
Perceptual saturation
Structural limit beyond which reflexive recombinations no longer generate new perceptual categories.
Perceptual isomorphism
Relation between two perceptual structures that appear different but are equivalent in phenomenological content.
Perceptual hierarchy D1–D8
Organization of perceptual forms according to the number of axes of complexification mobilized, under the constraint ρ·C ≈ kΦ.
Reflexivity of sensing
Capacity of sensing to take itself as content, giving rise to reflexive perceptual forms.
Irreducible perceptual form
Perceptual structure that cannot be reduced to a recombination already known of the primitives qqch and feels.
Reflexive saturation
State in which the reflexivity of sensing no longer introduces new distinct perceptual forms.
D¹–D⁸ progression
Ontological hierarchy of degrees of actualization of the Real, describing the rise in organization of CELA from raw intensity to integrated context.
Axial dimension Dⁿ
Degree of organization of the real corresponding to the exploitation of a specific axis of complexification, common to the physical, perceptual, and conceptual planes.
Dynamic construction of perception
Process by which conscious perception emerges from successive differential operations, each founded on the recognition of a difference organized along a Dⁿ axis.
Differential operation
Minimal act of discernment by which a perceptible difference is recognized and structured, serving as the basis for all perceptual organization.
Generative ontology
Principle according to which the structure of the real (CELA) generates cognitive, perceptual, and linguistic forms, and not the reverse.
Cognition local expression
Local and derivative manifestation of the ontological structure of the real, reflecting its organization without being its origin.
Ontological threshold of consciousness (D⁵)
Level at which perception becomes simultaneously perceived and perceiving, constituting the minimal form of consciousness as a self-relation of the CELA field.
Reflexive self-configuration
Internal organization by which a system attains complete reflexivity without external causality, necessarily resulting from its structure.
Ontological progression
Necessary succession of Dⁿ levels describing the actualization of the real in act, independent of mental, functional, or linguistic descriptions.
Conceptual plane
Level of abstract expression corresponding to degrees D¹–D⁸, distinct from the particular linguistic forms used to express them.
Linguistic plane
Mode of expression of conceptual levels D¹–D⁸ through the grammatical structures specific to a given language.
Conceptual correspondence
Non-morphological alignment between multiple planes (physical, perceptual, linguistic) following the same ontological progression D¹–D⁸.
Non-universality of morphology
Principle according to which languages do not express levels D¹–D⁸ through universal lexical forms, despite a shared conceptual coherence.
Controlled linguistic projection
Method consisting in retrospectively identifying linguistic expressions corresponding to levels D¹–D⁸, without morphological forcing or circularity.
Conceptual anti-circularity
Methodological requirement imposing that ontological levels D¹–D⁸ be defined independently of language, prior to any linguistic correspondence.
Minimal alignment criteria
Conditions required to accept a linguistic correspondence: semantic coherence, contextual non-contradiction, and stability of usage.
Conceptual saturation
Limit beyond which no new distinct conceptual category emerges despite increasing possible recombinations.
Physical plane
Expression of the ontological deployment of CELA in the form of quantities, laws, and material structures.
Perceptual plane
Expression of the ontological deployment of CELA in the form of lived experience and structures of discernment.
Illustrative linguistic plane
Use of language as a tool for conceptual correspondence, without demonstrative or universalist pretension.
D⁸ method
Structurally distinct way of reaching an ontological context (D⁸) by combining a perceptual role D¹–D⁷ with a term drawn from a given lexical domain.
Ontological context (D⁸)
Maximum integration level in the D¹–D⁸ hierarchy, corresponding to a global field of meaning or lived experience in which the other levels are integrated.
Perceptual role
Abstract conceptual function (intensity, sensation, configuration, transition, relation, principle, system) independent of any particular language, associated with a D¹–D⁷ level.
Perceptual universe
Set of perceptual roles D¹–D⁷ constituting the minimal conceptual grammar of sensing and cognition.
Lexical universe
Particular semantic domain (thermal, justice, aesthetic, fictive, etc.) providing the concrete terms instantiating perceptual roles.
Lexical instantiation
Application of an abstract perceptual role to a term drawn from a given lexical universe in order to produce a situated expression.
Path to D⁸
Structural sequence by which a D⁸ context is reached by modulating a particular perceptual role within a lexical domain.
Role × domain composition
Principle according to which levels D¹–D⁷ do not combine with one another as values, but are actualized through combination of a perceptual role with a lexical field.
Structural pairs
Pairs of formulations (ontological / lexical) describing the same perceptual structure under two different registers of expression.
Semantic gradient
Lexical progression aligned with levels D²–D⁸, illustrating how a same root or notion becomes conceptually complexified up to context.
Structural neologism
Invented term designed to make the D¹–D⁸ levels visible within a given lexical domain, independently of existing linguistic conventions.
Ontogenetic homology
Structural relation by which language, perception, and physics proceed from the same movement of self-differentiation of the real, without mere external analogy.
Language reflexive form
Reflexive expression of the ontological deployment of CELA, emerging from the same dynamics as physical and perceptual structures.
Non-universality of lexicon
Principle according to which no particular lexical chain is universal, despite the existence of a shared conceptual progression D¹–D⁸.
Linguistic falsifiability
Criterion according to which the model would be undermined if comparative language analysis revealed no robust trace of the conceptual hierarchy D¹–D⁸.
Operational fictive domain
Artificial lexical domain used as a heuristic tool to test the structural coherence of the model independently of historical linguistic constraints.
Contextual saturation
Fact that the various D⁸ paths do not introduce new ontological levels, but only distinct modes of access to the same integrated context.
Problem solving CdR
Process consisting in modifying an ontological context (D⁸) in order to make a desired state or experience possible, without acting directly on an isolated lower level.
Context adjustment
Global modification of the lived field (D⁸) obtained through structured combination of perceptual roles D¹–D⁷ with a given lexical domain.
Contextual method
Resolution approach in which the problem is addressed by transforming the global context rather than by local or direct causal action.
Lived context
Integrated form of experience resulting from the stabilized co-presence of perceptual levels D¹–D⁷.
Contextual horizon (D⁸)
Level at which perceptual distinctions cease to be local and become global conditions of experience (“being warm,” “living more justly,” etc.).
Misposed problem
Situation in which an attempted resolution acts on a Dⁿ level unsuited to the type of transformation sought, rendering the problem locally insoluble.
Multiple contextual paths
Fact that a same D⁸ context objective can be reached through several structurally distinct combinations of perceptual roles and lexical domains.
Non-prescriptiveness
Principle according to which D⁸ perceptual combinations do not constitute causal prescriptions, but possible structural manifestations of a same organizational schema.
Contextual logic
Mode of organization in which lived effects result from the global configuration of the system rather than from the sum of local actions.
Operational psychophysics
Approach showing how the ontological structures of CELA simultaneously produce physical effects and modes of experience usable in lived life.
Physical–psychic articulation
Fact that the laws of the world and the forms of experience emerge from the same internal organization of the Real, without causal separation between matter and mind.
Post-psychophysical transition
Point in the corpus where, ontological, physical, and psychic bases being established, analysis can proceed toward their specific developments.
Generative structure
Internal organization of the real by which observable physical forms (constants, symmetries, spectra) necessarily emerge, without arbitrary adjustment or external postulate.
Coherent substrate
Unique ontological ground from which physical structures can emerge as necessary solutions rather than arbitrary givens.
Self-complexification
Process by which CELA deploys and differentiates itself progressively while maintaining its internal coherence, giving rise to physical structures.
Density–differentiation balance
Internal constraint according to which the complexification of the real proceeds without rupture of cohesion, conditioning the emergence of stable structures.
Fundamental constants
Invariant physical quantities (such as h, c, G, or α) interpreted here as necessary structural effects of the organization of the real, rather than arbitrary parameters.
Fine-structure constant (α)
Dimensionless parameter characterizing the strength of electromagnetic interaction, considered in CdR as a structural consequence of the self-complexification of CELA.
Mass hierarchy
Non-uniform organization of elementary particle masses, understood as a structural effect of the multidimensional deployment of the substance of the real.
Stability of quantum states
Capacity of certain quantum configurations to persist across scales, resulting from internal structural equilibrium rather than external adjustment.
Standard Model (structural target)
Canonical organization of particles and interactions considered not as a fundamental postulate, but as an emergent form that the ontological model of CELA must render intelligible.
Fundamental forces
Elementary interactions structuring matter (electromagnetism, weak interaction, strong interaction), considered as necessary manifestations of the complexification of CELA.
Interaction carrier particles (bosons)
Particles mediating the fundamental forces (photon, W and Z bosons, gluons), ensuring transmission of interactions between matter constituents.
Fermions
Particles constituting ordinary matter, grouping leptons and quarks, organized into hierarchical generations.
Ordinary matter
Set of material structures composed of quarks, leptons, and interaction bosons, constituting the usual observable domain.
Color charge
Property of quarks related to the strong interaction, enabling their cohesion via gluon exchange.
Particle generations
Organization of fermions into three levels presenting analogous properties, interpreted as an emergent structural hierarchy.
Structural target
Complex organizational form that the ontological model aims to make emerge naturally, without ad hoc hypotheses.
Ad hoc hypothesis
Postulate added without internal structural necessity, explicitly avoided in the CdR approach in favor of minimal generative principles.
Fundamental structure
Framework describing how all physical notions emerge from a single dynamic substance (CELA) exploiting different dimensional axes, without multiplying entities or independent forces.
Dimensional axes
Internal directions of expansion of CELA, corresponding to organizational degrees of freedom from which fundamental physical notions emerge.
Dimensional complexification
Process by which CELA successively deploys itself along several axes (1D to 5D and beyond), each level generating new physical capacities.
Physical dimensional levels
Hierarchical organization of physical notions according to the number of exploited axes: 1D (distance, velocity), 2D (wave, pressure), 3D (volume, mass), 4D (force), 5D (energy).
Tetrahedral cell
Minimal volumetric unit of CELA in 3D space, defined by three dimensional axes, three surface faces (2-faces), and one volumetric face (3-face).
2-face (surface face)
Bidimensional interface resulting from the combination of two dimensional axes, enabling internal relations within a cell.
3-face (volumetric face)
Three-dimensional interface resulting from the combination of three dimensional axes, constituting the volumetric basis of a CELA cell.
3D CELA cell
Elementary spatial configuration of the substance of the real, occupying a volume defined by three axes and serving as an analysis unit for physical interactions.
Hyperspace
Space resulting from the addition of an extra dimensional axis, allowing the coexistence and interaction of several distinct volumes.
Volumetric interaction
Dynamic relation between two CELA cells sharing a common volumetric face, through which an internal variation can be transmitted.
Force (geometric interpretation)
Dynamic effect corresponding to the setting in motion of one volume by another via a shared volumetric interface, necessarily resulting from the expansion of CELA in 4D.
Force as emergent effect
Principle according to which force is not a fundamental entity added to the real, but an inevitable consequence of the multidimensional geometry of CELA.
Volumetric interface
Three-dimensional surface shared between two CELA cells, enabling dynamic coupling of their internal variations.
Dynamic configurations of CELA
Physical forms (volumes, forces, energies) understood not as isolated objects, but as relational and evolving states of the substance of the real.
Particle (structural prefiguration)
Dynamic and localized configuration of CELA in a multidimensional space, anticipating the analysis of particles as relational structures rather than substantial objects.
Discrete 6D prototype
Exploratory pre-geometry structure based on a combinatorial organization with six internal axes, aimed at testing the coherence of the CdR model without claiming a complete formal derivation.
6D cell
Elementary unit of the discrete CdR model, defined as a dynamic configuration of the Φ field, without sharp boundary or point localization, representing a local projection of a coherent global structure.
Triple-cells (σᵢⱼₖ)
Combinatorial sub-structures arising from the C(6,3) combinations, constituting the 20 internal units of a 6D cell and serving as supports for the organizational motifs of matter.
Combinatorial structure C(6,3)
Minimal internal organization of a 6D cell based on the 20 possible combinations of three axes among six, ensuring structural richness and numerical testability.
n/3 motif
Exploratory notation designating a degree of internal activation of a triple-cell according to the number of axes involved (n ∈ {0,1,2,3}), used as a non-derived structural indicator.
Emergent fractional charges
Structural correspondence between n/3 motifs and observed electric charges (0, 1/3, 2/3, 1), interpreted as internal topological effects rather than added properties.
Internal degrees analogous to color
Possible internal orientation variations of a same n/3 motif in 6D space, suggesting a structural multiplicity without rigorous identification with QCD color charges.
CdR pre-geometry
Conceptual framework in which notions of geometry, field, and particle emerge from an internal organization prior to observable 4D space-time.
Immanence invariant (ρ·C = kΦ)
Global constraint imposing balance between density of existence (ρ) and internal coherence (C), governing all internal dynamics of the CdR model.
Global functional S
Energy function defining the dynamics of the CdR system, combining respect for the invariant ρ·C = kΦ with a term of structural coherence between neighboring cells.
Global minimization
Principle according to which the evolution of CdR structures results from the search for a global minimum of the functional S, rather than from independent local interactions.
CdR superposition
Real coexistence of multiple internal ρ/C motifs within the same 6D cell, interpreted as simultaneous spatial organization rather than temporal alternation.
Internal 6D phase
Local geometric orientation of an internal motif in six-dimensional space, playing the structural role of the complex phase in quantum mechanics.
Emergent interferences
Phenomenon resulting from the superposition of internal motifs oriented differently in 6D, naturally producing interference terms analogous to those of QM.
CdR entanglement
Non-factorizable global state resulting from the common minimization of the functional S, preventing independent optimization of distinct regions of the system.
Structural non-locality
Instantaneous redistribution of the global coherence of a strongly coupled CdR system, due to the rigidity of the invariant constraint, without information transmission.
Cohesion parameter λ
Coefficient measuring the rigidity of structural coupling between cells, controlling the effective propagation speed of perturbations in the CdR network.
Effective propagation speed
Emergent quantity dependent on λ, describing how rapidly a local perturbation reverberates globally within a CdR structure.
CdR uncertainty principle
Geometric constraint imposing an irreducible trade-off between fluctuations of density (Δρ) and coherence (ΔC), derived from the invariant ρ·C = kΦ.
Geometric uncertainty
Interpretation according to which quantum indeterminacy arises from a compression limit of the internal 6D structure, and not from a measurement limitation.
Collapse as motif selection
Process by which a measurement interaction imposes a global minimum of the functional S, stabilizing one internal motif at the expense of the others.
Cell as local projection
Principle according to which an observable 6D cell is not an isolated entity, but a partial view of a higher-dimensional coherent global organization.
CdR numerical validation
Set of simulation protocols aimed at testing the internal coherence of the model (superposition, entanglement, non-locality, uncertainty) in a falsifiable manner.
CdR Young’s-slits–type test
Numerical simulation verifying that the superposition of internal motifs reproduces an interference pattern consistent with standard quantum predictions.
CdR EPR–Bohm test
Numerical protocol intended to verify that global minimization of the functional S produces correlations of the form −cos(Δθ).
Non-local propagation test
Numerical experiment measuring the response time of a distant cell to a local perturbation, as a function of the parameter λ.
CdR uncertainty test
Numerical verification of the existence of a minimal floor for the product Δρ·ΔC, a structural analogue of Planck’s constant.
CdR working hypothesis
Coherent theoretical statement, mathematically consistent and falsifiable, but not experimentally validated at this stage of the corpus.
Misleading pedagogical illustration
Deliberately simplified representation intended to correct naive intuitions, but not faithfully describing the actual structure of the CdR system.
Coherent internal geometry
Continuous multidimensional organization of the substance of the real, without void or separation, at the origin of apparent quantum phenomena.
Non-localized cells
Dynamic and superposed forms of CELA possessing neither sharp boundaries, nor fixed position, nor spatial separation, and which cannot be assimilated to classical discrete objects.
CdR quantum foam
Representation of the real as a dense, wavelike, and voidless network of CELA cells, where any local modification triggers an immediate global reorganization.
Absence of ontological vacuum
Principle according to which there exists no empty space between CELA cells, the real being entirely filled by a continuous and coherent substance.
Local projections
Observable manifestations of CELA cells, understood as partial and local views of an indivisible multidimensional global structure.
Indivisible global system
Organization of the real in which no cell can be modified independently of the others, due to the structural coherence imposed by CELA.
Structural entanglement
Form of entanglement resulting from direct geometric dependence between CELA cells, independent of any information or signal transmission.
Internal 6D geometry
Complete combinatorial organization of a CELA cell exploiting six internal axes, serving as the architectural basis for the later emergence of physical geometry.
Internal hypersphere
Geometric object defined by the set of all possible coherent combinations within a space of n internal dimensions, used to describe the internal structure of CdR cells.
CdR combinatorial table
Systematic representation of a cell’s internal sub-structures according to the binomial coefficients Cₙᵏ, ensuring a non-ambiguous formal basis.
Coherent sub-volume
Internal structure defined by the combination of k axes among n, representing a stable geometric entity within a CdR cell.
Internal axes
Abstract directions of organization of CELA, distinct from usual spatial axes, serving as the basis of the cells’ internal combinatorics.
Internal planes
Two-dimensional sub-structures resulting from the combination of two internal axes, constituting the elementary geometric interfaces of a CdR cell.
Triple-cells (internal 3D)
Internal three-dimensional sub-volumes obtained by combining three axes among six, constituting the fundamental units of the simulated internal dynamics.
4D blocks (proto-volumes)
Internal sub-structures arising from the combination of four axes, interpreted as coherent regions intended to be projected into physical 4D volumes.
5D blocks (hyperfaces)
Five-dimensional internal interfaces linking the complete cell to internal blocks, ensuring the global coherence of the 6D structure.
Complete 6D cell
Total geometric object resulting from the combination of the six internal axes, support of the Φ field and maximal structural unit of the discrete CdR model.
CdR intersection rule
Principle defining the dimension of the interface between two internal blocks as the cardinality of the intersection of their axis sets.
2-axis neighborhood
Topological criterion linking two triple-cells when they share exactly two internal axes, foundation of the dynamic graph used in the functional S.
Internal 20-cell graph
Fundamental network linking the 20 triple-cells of a 6D cell by 90 edges according to the 2-axis neighborhood rule.
Internal mean degree
Average number of connections per triple-cell in the internal CdR graph, equal to 9 for the complete 6D structure.
Internal proto-volumes
4D blocks interpreted as geometric precursors of physical volumes, serving as projection bricks toward emergent space-time.
6D → 4D compression
Process by which coherent internal structures are projected or grouped to produce observable physical volumes.
Reduced pedagogical model
Deliberately simplified version of the CdR internal structure (for example limited to 8 cells) used for intuition, without exhaustive descriptive value.
Global undulatory reality
View of the world as a single coordinated fluctuation of CELA, where particles and apparent objects are only transient motifs.
Volume quantum
Minimal unit of reality understood as a CELA cell, simultaneously carrying mass, energy, and dynamic structure.
Particle as organizational mode
Interpretation of elementary particles as stable configurations of internal cells in a multidimensional space, and not as point-like objects.
CdR cosmic architecture
Global geometric and ontological organization of the real, in which space, time, and matter emerge from a single coherent internal structure.
Spation Θ
Minimal stable volume of CdR space-time, defined as the smallest domain for which the immanence invariant ρ·C = k_Φ can be maintained without instability. It constitutes the elementary quantum of spatial and temporal coherence.
Immanence invariant
Fundamental principle according to which the product of existence density ρ and organizational complexity C remains locally constant (ρ·C = k_Φ), imposing a minimal granularity of space-time.
Minimum coherence length (l_*)
Minimal spatial scale associated with a Θ spation, below which no stable structure can maintain the immanence invariant. It plays the role of an internal natural length in the CdR framework.
Minimum coherence time (t_*)
Minimal temporal interval allowing a Θ spation to adjust its internal structure without losing coherence. It defines the fundamental temporal granularity of the real.
Internal coherence speed (c)
Characteristic speed defined by the ratio c = l_*/t_*, representing the maximum propagation speed of a coherent variation within the Φ field. It is identified with the speed of light at large scales.
Minimal action of a spation
Quantity of action associated with a complete cycle of internal coherence of a Θ spation over the duration t_*, proportional to k_Φ·l_*³·t_*. It grounds action quantization in CdR.
Reduced Planck constant (ℏ)
CdR interpretation Emergent minimal action identified as the internal action quantum associated with a complete phase rotation of the Φ field within a Θ spation, and not as an arbitrary constant.
Geometric factor ξ_Θ
Dimensionless coefficient of order unity, dependent on the internal geometry of the Θ spation and on the profiles of ρ and C, entering the exact expression of ℏ in the CdR framework.
Space-time granularity
Necessary property of the real arising from the immanence invariant, according to which space and time cannot be infinitely continuous but possess a minimal discrete structure.
Φ field
Complex internal field used to model the local dynamics of the substance CELA, whose amplitudes and phases encode respectively existence density and organizational coherence.
Internal phase rotation
Complete cycle (2π) of the phase of the Φ field inside a Θ spation, associated with the appearance of an action quantum ℏ.
Discrete 6D structure
Internal architecture composed of six organizational axes, generating 20 triple-cells and serving as the combinatorial basis of CdR pre-geometry and physics.
Triple-cell (σᵢⱼₖ)
Internal three-dimensional sub-structure of a 6D cell, defined by a unique combination of three axes among six, representing a fundamental motif of local coherence.
Internal 20-cell graph
Relational topology linking the 20 triple-cells of a 6D structure according to a two-axis-sharing neighborhood criterion, used in CdR dynamic simulations.
n/3 motifs
Family of internal motifs defined by the number n of activated axes in a triple-cell, used as an exploratory hypothesis to interpret degrees of charge or internal distinction.
Discrete 6D prototype
Exploratory model intended to test the internal coherence of the invariant ρ·C = k_Φ in a finite combinatorial structure, without claim to a complete derivation.
Vacuumless quantum foam
Qualitative representation of a real composed of entangled and fluctuating CELA cells, without empty space or sharp boundaries, compatible with quantum entanglement.
Structural entanglement
Property according to which the state of a CELA cell cannot be modified without immediate reorganization of other cells, reflecting a global indivisible system.
6D → 4D proto-geometry
Intermediate phase where internal 6D blocks are grouped or projected to make an effective four-dimensional geometry emerge, prior to observable physical space-time.
Principle of non-vacuity
Idea according to which there exists no empty space between CELA cells: every region of the real is saturated by dynamic forms of coherence.
Complete 6D cell
Encompassing structure defined by the set of six internal axes {1,2,3,4,5,6}, global support of the Φ field and of the combinatorial sub-structures.
6D cosmological hyper-volume
Fundamental domain with six internal dimensions from which observable space-time emerges as a quantized projection, and not as a preexisting continuum.
Discrete quantum space-time
Description of space-time as a structure composed of finite elementary cells (spations), excluding any infinitely divisible continuity.
Space-time quantum
Indivisible elementary unit simultaneously associating space, time, mass, and energy, embodied in the CdR framework by the spation.
Coherence saturation threshold
Critical level at which the immanence constraint ρ·C = k_Φ imposes an irreducible granularity, below which classical notions (space, time, mass, energy) cease to be separable.
Emergent quantities of the spation
Set of properties (size, duration, mass, energy, pressure) that are not postulated but result directly from the local application of the immanence invariant to an elementary spatio-temporal cell.
Planck length
CdR interpretation Characteristic spatial scale of the spation, marking the minimal limit of geometric coherence of space-time.
Planck time
CdR interpretation Minimal duration corresponding to the coherent traversal time of a spation by an internal variation of the Φ field.
Planck mass
CdR interpretation Quantum of mass associated with a spation, resulting from the joint quantization of energy and space-time via E = mc².
Planck pressure
Extreme pressure mutually exerted between spations in the saturated spatio-temporal medium, corresponding to the limit where density and energy become inseparable.
Spationic density
Effective mass density of the medium composed of spations, extremely high, rendering the classical concept of vacuum physically inappropriate.
Relative vacuum
State of a domain devoid of ordinary matter but saturated with spations, explaining the absence of an absolute vacuum in the CdR framework.
Spationic medium
Real substrate composed of spations in permanent interaction, constituting the effective support of space-time, matter, and fields.
Cosmological constant
CdR interpretation Emergent macroscopic effect of internal fluctuations and compensations of the spationic medium, rather than an arbitrary fundamental parameter.
Joint energy–mass quantization
Principle according to which quantization of energy necessarily implies that of mass via E = mc², and therefore that of space-time itself.
Ontological indivisibility of matter
Principle according to which matter cannot be subdivided indefinitely: beyond a critical threshold, any attempt at division leads to spatio-temporal units (spations) rather than particles.
Spatiotemporal substrate
Fundamental level of reality composed of spations, from which matter, energy, and interactions emerge, without assuming any external support.
Pre-material properties of space-time
Functional characteristics (pressure, density, agitation, fluctuations) of spationic space-time, necessary to understand the later emergence of matter and forces.
Dynamic viscosity of space-time
Property of the spationic spatio-temporal medium by which space-time cells slide relative to one another with an internal resistance dependent on shear.
Viscous spationic medium
Description of space-time as a dense network of spations endowed with cohesion and internal resistance to motion, neither rigid nor inert.
Spatiotemporal inertia
Emergent property of the spationic medium by which any change of motion is resisted, independently of matter, due to the internal viscosity of space-time.
Inertia as a property of the medium
Principle according to which inertia is not an intrinsic property of matter, but a manifestation of the dynamic viscosity of the spatio-temporal substrate.
Memory of motion
Capacity of the spationic medium to retain information about a past dynamical state, made possible by its internal viscosity.
Viscous propagation of waves
Transmission of an impulse or a wave by resistant sliding from spatio-temporal cell to spatio-temporal cell, rather than by motion through a void.
Spatiotemporal shear
Velocity gradient between regions of the spationic medium, measuring the differential sliding of spations.
Non-Newtonian behavior of space-time
Character of the spationic medium whose viscosity depends on shear rate, and not linearly on velocity.
Shear-thinning
Regime in which the viscosity of the spatio-temporal medium decreases when shear exceeds a critical threshold.
Cross law (spationic interpretation)
Rheological model describing the decrease of the viscosity of the spatio-temporal medium when shear rate becomes extreme.
Base viscosity of the spation (η₀)
Fundamental value of the viscosity of the spationic medium at low shear, on the order of 10⁷⁰ Pa·s, derived from Planck scales.
Effective viscosity
Local value of the viscosity of the spationic medium depending on shear rate, notably for wave propagation.
Spationic kinetic model
Approach estimating the viscosity of the spationic medium by analogy with an extremely dense gas, based on density, limiting speed, and Planck length.
Spationic Maxwell model
Viscoelastic approach estimating the viscosity of the spationic medium as the product of internal cohesion and a fundamental relaxation time.
Fundamental relaxation time
Minimal characteristic duration (≈ Planck time) required for a perturbation to propagate and reorganize within the spationic medium.
Resistance to change of state
Effect by which the spatio-temporal medium opposes any modification of motion, mechanically grounding inertia and momentum conservation.
Delayed interactions
Non-instantaneous dynamical effects resulting from the viscosity of the spationic medium, enabling delayed transmission of an influence.
Viscosity and limiting speed (exploratory hypothesis)
Speculative line suggesting a possible link between the rheological behavior of the spationic medium and the existence of a maximal propagation speed.
Effective gravitational viscosity
Concept describing the potential impact of spationic viscosity on the propagation of gravitational waves through space-time.
Viscous attenuation of waves
Possible decrease of a wave’s amplitude due to dissipation in the spatio-temporal medium, used as an indirect test criterion of the model.
Internal topology and rheology
Principle according to which viscosity-law parameters (exponent m) are constrained by the connectivity and combinatorial structure of the 6D network of spations.
Sub-spatial interactions
Fundamental interactions linking spations at the 6D level, prior to 4D space-time geometry and not limited by local propagation.
Non-local coherence
Property by which regions spatially separated in 4D constitute a single coherent state within a deeper 6D structure.
Θ field
Continuous state network with six internal dimensions of which observable 4D space-time is a partial projection.
6D → 4D projection
Process by which a unitary state of the Θ field appears as distinct and separate objects in perceived space-time.
Unity of state
Principle according to which apparently distinct entities correspond to a single global configuration in the Θ field.
Entanglement (structural definition)
State of maximal coherence corresponding to zero topological distance (Δ = 0) between two spations in the 6D network.
Topological distance Δ
Measure of separation between two spations defined by the number of non-shared 6D axes, independent of 4D metric distance.
Strong connection
Relation between two spations sharing two 6D axes (Δ = 1), implying high correlation in the Θ field.
Weak connection
Relation between two spations sharing only one 6D axis (Δ = 2), implying residual correlation.
Quasi-independence
Relational state between two spations sharing no 6D axis (Δ = 3), corresponding to emergent locality.
Emergent locality
Effective appearance of local behaviors when the topological distance Δ becomes large in the Θ network.
Quantum boiling
State of permanent fluctuation of the vacuum, resulting from generalized entanglement of spations in the Θ field.
Saturated quantum foam
Description of the vacuum as a dense, coherent, and ultra-connected weave of spations, and not as an absence of substance.
Perceived distance vs real distance
Distinction between 4D metric separation and 6D topological separation, the latter determining physical correlations.
Topological decay of entanglement
Hypothesis according to which entanglement intensity decays exponentially with topological distance Δ in the Θ network.
Topological coherence length
Characteristic parameter ξ measuring the mean extent of correlations in the 6D graph of the Θ field.
Absence of information transport
Principle according to which non-local correlations do not result from any signal or propagation, but from an underlying unity of state.
Vacuum as a saturated weave
Principle asserting that the quantum vacuum is a state full of coherence and structure, not an empty space devoid of reality.
Bell violation (6D interpretation)
Expected experimental consequence of unity of state in Θ, reproducing quantum correlations without superluminal transmission.
Structural CHSH criterion
Quantitative condition (S ≤ 2√2) allowing testing the compatibility of the Θ model with experimental quantum mechanics.
Ontological no-cloning
Impossibility of copying a quantum state resulting from the global conservation constraint imposed by ρ·C = k.
No-cloning as conservation
Interpretation of the no-cloning theorem as a direct consequence of global ontological conservation of the density–coherence product.
Entanglement as ontological unity
Principle according to which entanglement is not a physical paradox, but the direct expression of the structural unity of the Real in 6D.
Inflareaction
Self-reinforcing loop contraction → filling → overpressure → rebound → coherent expansion, by which a local perturbation of the spationic medium transforms into an energetically organized form.
Amplifying rebound
Effect by which the surplus of density/pressure created by overcompensation induces a reverse push that temporarily reinforces the dynamics before stabilization.
Immediate filling
Property of CELA according to which any local rarefaction is instantly compensated, preventing the appearance of a void and implying a global redistribution of density.
Density borrowing
Mechanism by which a contracted zone is compensated by a density input coming from the rest of the field, under the immanence constraint ρ·C = kΦ.
Overcompensation
Transient overshoot of equilibrium correction during restoration of density/coherence, producing a local overpressure and triggering the rebound.
Spationic overpressure
Local excess of pressure and density in the spation network, arising from density borrowing and serving as the motor of coherent rebound.
Contraction–rebound–expansion cycle
Canonical dynamic sequence of inflareaction, transforming a local compression into a coherent wave and then into field reorganization.
Stabilized coherent wave
Organized propagation resulting from inflareaction, in which the perturbation ceases to be dissipative and takes on a persistent coherent form.
Generative mechanism of form
Principle according to which inflareaction constitutes a fundamental pathway for producing stable structures (waves, knots, proto-particles) in the Θ field.
Field memory
Capacity of the spationic medium to retain a dynamical trace of a perturbation via viscosity and rebound, making inertia, persistence, and identity possible.
Dynamic identity
Character of a form (wave, knot, excitation) whose stability arises from a cycle of field self-regulation rather than from a fixed object.
6D morphodynamics
Reading of inflareaction as an internal reorganization of 6D hyperspheres projected into 4D as curvature and rebound.
Projected curvature
4D manifestation of an internal reorganization of the Θ field in 6D, appearing as deformation, overpressure, then coherent expansion.
Non-linearity μ
Cubic term emerging from the expansion of C = k/ρ around ρ₀, responsible for the amplified yet bounded rebound and the dynamic closure of instability.
Local energy functional
Minimal formalism describing inflareaction via an energy depending on gradients, ρ–C couplings, and a non-linear term governing field relaxation.
Relaxation equations
Postulated dissipative dynamics in which ρ and C evolve according to the functional derivatives of an energy, under the approximate constraint ρ·C ≈ k.
Global field redistribution
Principle according to which restoration of the invariant ρ·C = kΦ occurs at the level of the entire field rather than locally, implying sub-spatiotemporal fluxes.
Sub-spatiotemporal flux
Transfer of density/coherence within the Θ field, required to maintain global immanence during a local perturbation.
Stabilized overpressure
Minimal stationary form of the Θ field: inflareaction closed in a stable mode, neither a dispersive wave nor a random fluctuation.
Localized stationary mode
Stable and confined field solution, maintained by viscosity, 6D geometric rigidity, and non-linearity imposed by ρ·C = kΦ.
Stationary confinement
Process by which a dynamic rebound closes upon itself and produces a persistent coherence knot (proto-particle).
Coherence knot
Localized and persistent excitation of the Θ field, topologically supported by the 6D structure and stabilized by internal gradients.
Effective potential V(ρ)
Minimal potential describing the stability of an overpressure, including linear rigidity, cubic asymmetry, and quartic saturation.
Asymmetry ε
Cubic term of the effective potential derived from immanence, expressing the minimal internal asymmetry induced by C = kΦ/ρ.
Quartic saturation
Stabilizing component of the effective potential preventing divergence of the perturbation and contributing to the bounded closure of the rebound.
Internal inertia of the Θ medium
Stabilizing role of the extreme viscosity of the field, enabling a regulated rebound without dispersion or divergence.
Spatial rigidity
Geometric cost associated with gradients (∇ρ, ∇C) that limits spreading and supports localization of stabilized overpressures.
Natural frequency ωₛ
Internal frequency characterizing a coherent field excitation, related to an effective mass via m ~ (ħ/c²) ωₛ.
Mass–energy link via ωₛ
Interpretation in which the energy of a coherent excitation is expressed as a natural frequency, connected to effective mass by mc² = ħωₛ.
Proto-particle
Minimal stable excitation of the Θ medium, understood as a stabilized overpressure and coherence knot resulting from inflareaction.
Ontological creation–annihilation
Microscopic reading of the coherent rebound as a temporary structured fluctuation of energy, analogous to virtual particles of the quantum vacuum.
Viscosity window
Stability condition according to which the existence of stationary overpressures requires a base viscosity within a compatible range (order ~10⁷⁰ Pa·s).
Conceptual chain 020–029
Sequence within the corpus linking 6D combinatorial structure, viscosity, 6D→4D emergence, and inflareaction up to stabilized overpressure.
Matter as closed inflareaction
Synthetic principle according to which matter corresponds to an inflareaction that closes upon itself as a localized stationary excitation.
Transion
Ontological domain change by which a spation leaves the 6D configuration of ordinary space-time when the immanence constraint ρ·C = k_Φ can no longer be satisfied across six axes, and is immediately reorganized into a seven-axis structure. A transion is neither a displacement, nor an explosion, nor a collapse, but a structural reallocation imposed by a coherence threshold.
Transion threshold (p_max)
Structural limit of internal pressure beyond which a spation can no longer maintain an organizational complexity compatible with the invariant ρ·C = k_Φ in a 6D configuration. This threshold marks the mandatory passage to a seven-axis domain.
Maximum internal pressure
Maximum pressure value geometrically compatible with the stability of a 6D spation, defined by p_max = ρ_max·c². Any sustained overpressure beyond this value renders the 6D configuration impossible.
6D confinement rupture
Critical situation in which the six-axis combinatorial structure of a spation can no longer absorb an internal overpressure without violating the minimal complexity bound C_min, triggering a transion.
Axial substitution
Non-spatial process by which, during a transion, one of the six internal axes of a spation is replaced by an additional axis, leading to a seven-axis organization without metric continuity with 6D space-time.
Transioned spation
Spation that has crossed the p_max threshold and whose internal structure is reorganized in 7D. It no longer belongs to the network of connections ensuring continuity of 6D space-time and becomes non-representable in that domain.
7D domain
Seven-axis structural domain in which a spation can maintain the invariant ρ·C = k_Φ after an overpressure incompatible with the 6D configuration. This domain is more compact and denser, without observable 4D extension.
Structural coherence limit
Internal bound imposed by the minimal admissible value of organizational complexity C_min within a given configuration. Crossing it renders the corresponding structure unstable and imposes a domain change.
Critical spation state
Limit configuration in which a spation’s internal pressure approaches p_max, characterized by imminent structural instability with no possibility of stationary stabilization in 6D.
Ontological invisibility
Property of a transioned structure which, although existing, no longer belongs to the domain of connections rendering 6D space-time continuous and observable, and thus has no direct 4D representation.
Combinatorial intersection
Relation between two sets of configurations defined over different numbers of axes, describing the formal identity of certain axis triplets independently of the topological domain in which they are embedded. In CdR, the intersection C(6,3) ∩ C(7,3) does not represent shared physical states, but an identity of combinatorial labels.
Combinatorial substitution
Structural transformation by which an internal axis triplet (a,b,c) belonging to C(6,3) is reconfigured into a triplet (a,b,7) belonging to C(7,3) during a transion. This substitution is neither arbitrary nor symmetric, but imposed by the loss of an axis’s capacity to contribute to maintenance of the invariant.
Domain A
Organizational domain corresponding to ordinary space-time with six internal axes, described by the combinatorial set C(6,3) = 20 configurations. It constitutes the continuous and observable support of emergent 4D reality.
Domain B
Organizational domain distinct from domain A, characterized by activation of axis 7 and described by the combinatorial set C(7,3) = 35 configurations. Structures of this domain are not connected to the network ensuring continuity of 6D space-time.
Combinatorial accessibility
Property defining the set of structurally possible configurations within a given domain (for example C(7,3)), independently of their effective dynamic or energetic stability.
Apparent asymmetry of reduced diagrams
Representational effect due to the use of incomplete visual subsets (for example 8 configurations out of 20), which may misleadingly suggest a hierarchy or privileged axes in an intrinsically symmetric combinatorial structure.
Combinatorial identity
Property according to which an axis triplet bears the same formal label in different domains (6D or 7D), without corresponding to the same physical state or topological neighborhood.
Combinatorial isomorphism
Formal relation between configurations carrying identical axis labels but belonging to distinct neighborhood graphs, leading to different dynamic and topological properties despite identical notation.
Topological context
Set of neighborhood and connectivity relations defining the structural environment of a given combinatorial configuration. This context depends on the total number of active axes and the domain considered.
Additional 7D configurations
Set of the 15 configurations made accessible when passing from C(6,3) to C(7,3), corresponding to new triplets involving axis 7 and nonexistent in the 6D domain.
Deterministic axis selection
Principle according to which, during a transion, the axis replaced in a 6D triplet is precisely the one that can no longer contribute to maintenance of the invariant ρ·C = k_Φ, excluding any random or symmetric selection.
Non-privileging of axes
Structural principle according to which no internal axis has any special a priori status in the 6D or 7D combinatorial structure; any asymmetry arises solely from local dynamic constraints.
Conditional reversibility
Theoretical possibility for a transioned spation to return to a 6D configuration if internal conditions (notably pressure) fall back below a compatible minimal threshold, without such reversibility being dynamically guaranteed.
Transion point
Conceptual location at which a spation crosses the coherence threshold p_max and shifts from the 6D structure to the 7D structure. This point is neither a spatial opening nor a channel, but a change of organizational domain.
Double-Φ vortex
Dynamic structure consisting of two counter-rotating vortices generated by simultaneous activation of multiple inflow fluxes around a transioned spation. This regime appears for weak fluxes and is characterized by global stability resulting from cancellation of total kinematic angular momentum.
Counter-rotating vortex
Vortex whose sense of rotation is opposite to that of a neighboring vortex, enabling angular momentum compensation and collective flow stabilization.
Weak flux regime
Dynamic regime in which the intensity of the Φ flux remains below the critical threshold, maintaining a stable double-vortex configuration without topological fusion.
Unipolar vortex
Flow structure resulting from topological fusion of two counter-rotating vortices when flux intensity exceeds a critical threshold. This regime is characterized by a single rotation and increased coherence.
Strong flux regime
Dynamic regime in which the intensity of the Φ flux exceeds the dissipative capacity of the spationic medium, leading to vortex fusion and the emergence of a unipolar structure.
Topological fusion
Deterministic and irreversible transition by which two distinct vortex structures reorganize into a single structure, without intermediate continuity, under the effect of excessive flux.
Local cascade of transions
Collective process by which an initial transion locally increases the pressure gradient to the point of triggering additional transions in neighboring spations close to the p_max threshold, producing an extended depression.
Critical flux threshold (Φ_crit)
Limit value of flux intensity beyond which conversion of pressure into kinetic energy exceeds viscous dissipation, rendering the double-vortex configuration unstable and imposing unipolar fusion.
Unipolar switch
Dynamic transition between a counter-rotating double-vortex regime and a single-vortex regime, occurring when Φ crosses Φ_crit and marking a qualitative change in flow structure.
Kinematic angular momentum of the flux
Quantity of rotation associated with the velocity field of the spationic medium, calculated from mass and velocity distribution of the flux, distinct from any intrinsic quantized property.
Distinction between flux and spin
Principle according to which the angular momentum of the spationic flux observed in vortex regimes must not be confused with the intrinsic spin of stationary Φ modes, which belongs to a different level of organization.
Fermion-type particle
Stable material structure in the CdR framework associated with an internal vortex of the spationic field, characterized by non-zero mass, topological stability, and organized internal circulation. CdR fermions are not point objects but dynamic configurations of the Φ field.
Fermionic vortex
Stable vortex configuration of the Φ field associated with a fermion-type particle, defined by internal topological winding, a core where complexity vanishes, and an organized coherence flux.
Internal spationic circulation
Organized motion of the spationic field within a fermionic vortex, taking the form of a stable spiral winding rather than random displacement of individual spations.
Vortex chirality
Structural property of a fermionic vortex defined by the sense of winding of the internal circulation of the spationic field. Chirality has two opposite values without altering the global geometric form of the vortex.
Binary chirality (s = ±1)
Notation indicating the two possible orientations of circulation sense of a fermionic vortex: s = +1 or s = −1. This orientation distinguishes two inverted forms of the same structure.
Chirality flip
Inversion of the sense of internal circulation of a fermionic vortex, transforming a positive-charge configuration into a negative-charge configuration, or vice versa, without modifying the fundamental topological structure.
Particle–antiparticle (CdR interpretation)
Pair of fermionic configurations structurally identical, differing only by opposite chirality of their internal vortex, manifesting as electric charges of opposite sign.
Electric charge (vortex interpretation)
Emergent property associated with the sense of circulation of the fermionic vortex. The sign of the charge depends on vortex chirality, not on any material structural difference between particle and antiparticle.
Fermionic structural invariance
Principle according to which inversion of fermionic vortex chirality alters neither internal geometry nor topological stability, but only the orientation of spationic flux.
Spin (CdR interpretation)
Intrinsic angular momentum of a matter particle, not associated with spatial rotation, but with a quantized internal mode of the Φ vortex structure. Spin exists even at rest and is independent of actual fluid flux.
Internal spin mode (n)
Integer topological invariant characterizing an internal mode of phase rotation of a Φ vortex. This mode is independent of the topological winding associated with charge and determines observable spin via S = n/2.
Internal spin phase
Specific contribution of the internal phase of a vortex associated with spin mode n, distinct from the phase linked to external topological winding.
Spin quantization (S = n/2)
Structural correspondence adopted in CdR linking integer internal mode n to observable spin S. It reproduces values S = 0, 1/2, 1 for n = 0, 1, 2.
4π spinorial behavior
Property of configurations with spin mode n = 1 for which a complete return to the initial state requires an internal rotation of 4π, with sign change after 2π, characteristic of SU(2) representations.
Flux angular momentum (L_fluid)
Kinematic angular momentum associated with the actual velocity field of the spationic medium. It depends on flux, is not quantized, and may be zero at rest, unlike spin.
Charge–spin orthogonality
Principle according to which invariants associated with charge (s, m, k) and those associated with spin (n) are independent. A change in charge does not imply a change in spin, and vice versa.
Open double-vortex
Matter structure consisting of two counter-rotating vortices resulting from a transion, supporting charged fermions, in which the internal phase shift between the two vortices is constrained by the spin mode.
Internal phase shift (Δφ)
Internal phase difference between the two vortices of an open double-vortex. In the stable regime, this phase shift is quantized and related to spin by Δφ = π·n.
Phase-shift stability law (Δφ = π·n)
Structural relation imposing discrete values of internal phase shift between counter-rotating vortices, a necessary condition for mechanical and topological stability of matter structures.
Scalar mode (n = 0)
Internal configuration of a double-vortex corresponding to zero phase shift, associated with spin S = 0.
Fermionic mode (n = 1)
Stable internal configuration of a double-vortex with phase shift Δφ = π, corresponding to spin S = 1/2 of matter fermions.
Excited vector mode (n = 2)
Internal configuration of a double-vortex with phase shift Δφ = 2π, corresponding to spin S = 1, associated with unstable massive bosons.
Photon (exclusion from Δφ scheme)
Spin-1 particle described in CdR as a transverse closed vortex of the Φ field. Its spin does not arise from an internal phase shift of a double-vortex and is not described by parameter n.
Intrinsic spin
Quantized internal rotational property of a vortex particle, independent of any external motion or actual flux, and conserved as long as topological structure is maintained.
Associated static wave
Stationary deformation of the Φ field attached to a vortex (or double-vortex) and reflecting a quantized internal mode. It is non-propagative: an equilibrium structure tied to internal symmetries and invariants of the vortex.
Intrinsic static wave
Static wave that exists independently of translation: relativistic property of internal mode n and phase shift Δφ = π·n, present even in the proper frame (v = 0).
Spatial signature of mode n
External geometric manifestation of an internal spin mode n, in the form of a stationary anisotropy of the Φ field around the double-vortex, allowing association of a spatial structure with spin without invoking spatial rotation.
Stationary pressure anisotropy
Non-isotropic, stable distribution attached to the double-vortex, resulting from imposed internal phase shift and compatible with the immanence constraint ρ·C = k_Φ. It constitutes the physical support of the static wave.
X-shaped structure (mode n = 1)
Projected form of the static wave associated with internal mode n = 1 (spin 1/2), appearing as four branches in 2D projection, interpreted as the projection of a minimal angular anisotropy of type ℓ = 1.
Minimal angular mode (ℓ = 1)
Choice of the first non-trivial anisotropic mode minimizing the configuration energy of a static wave associated with spin n = 1. It opposes the isotropic mode ℓ = 0 (n = 0) and precedes excited modes ℓ > 1.
Variational principle of mode selection
Criterion according to which, under imposed symmetries, the retained static structure is the one minimizing the configuration energy of the Φ field, favoring the smallest admissible ℓ values.
Lorentz contraction of the static wave
Kinematic deformation of the static wave due to particle translation, modifying its apparent extension without creating it or changing its intrinsic topology.
Spin axis indeterminacy (at rest)
Situation in which, in the proper frame, the static wave preserves its topology but possesses no privileged spatial axis until an external interaction selects an orientation.
Spatial memory of spin
Role of the static wave as an external geometric support of the internal spin mode, preserving effective vortex orientation and enabling alignment under interaction (analogous to orientation in a field).
Static configuration energy
Energy stored in the stationary deformation of the Φ field associated with the static wave, which may contribute to emergent mass via m = E_static / c².
Isotropic mode (ℓ = 0, n = 0)
Configuration without stationary anisotropy and without static wave, corresponding to internal mode n = 0 (spin 0) in the CdR framework.
Excited static-wave modes (ℓ ≥ 2)
Family of more complex static structures associated with excited internal modes (for example n = 2), involving richer angular distributions and higher configuration energy.
Mass scale suppression
Requirement in CdR for a screening or renormalization mechanism explaining the gap between the raw scale of static-wave configuration energy (near the Planck scale) and the observed masses of light fermions.
Neutrino (CdR interpretation)
Matter particle described as an open unipolar vortex of the Φ field (N = 1), endowed with internal spin mode n = 1 but lacking electric charge. Its extremely weak interaction with matter results from absence of electromagnetic coupling and its extremely low internal compactness.
Open unipolar vortex
Vortex structure of the Φ field consisting of a single whirl without a counter-rotating pair. This vortex type corresponds to neutrinos in CdR and is distinguished by reduced configuration energy and very low compactness.
Internal compactness of the Φ field
Measure of spatial concentration of the Φ field deformation associated with a particle, defined by the ratio between the Planck scale and the effective spatial scale ℓ_Φ. Compactness directly determines emergent mass.
Compactness scale ℓ_Φ
Characteristic length over which the stationary deformation of the Φ field around a vortex extends. The larger ℓ_Φ is, the lower the configuration energy and associated mass.
Configuration mass
Rest mass of a particle interpreted as the minimal energy stored in the stationary deformation of the Φ field imposed by its vortex structure, its internal mode n, and its compactness.
Compactness hierarchy
Organization of particles according to increasing levels of Φ-field compactness (low, intermediate, high), leading to a natural mass hierarchy and preparing the interpretation of generations.
Light neutrino
Neutrino characterized by extremely low compactness and a very large ℓ_Φ scale, explaining a mass on the order of the eV or less, in agreement with experimental observations.
Neutrino locked spin
Property according to which the effective spin chirality of a neutrino cannot be inverted by electromagnetic interaction, due to the absence of charge and the unipolar structure of the vortex.
Vortex fission (hypothesis)
Theoretical process in which a double-vortex structure, subjected to extreme compression, could reorganize into two open unipolar vortices, providing a conceptual mechanism for neutrino formation.
Mass hierarchy by mode n
Principle according to which emergent mass increases with internal mode n via the increase of configuration energy and associated angular complexity, with m(n=2) ≫ m(n=1) ≫ m(n=0).
Particle generation
Family of particles sharing the same internal vortex structure (same parameters N and n), but differing by a discrete level of internal Φ-field compactness, which determines their mass and stability.
Φ compactness (notation 1Φ / 2Φ / 3Φ)
Discrete level of internal compactness of the Φ field associated with a vortex particle. Each level corresponds to a stable local minimum of configuration energy and defines a particle generation.
Compactness level 1Φ
Low-compactness state characterized by a large ℓ_Φ scale, low mass, and very high stability. It corresponds to the first particle generation.
Compactness level 2Φ
Intermediate-compactness state characterized by a medium ℓ_Φ scale, higher mass, and reduced stability. It corresponds to the second particle generation.
Compactness level 3Φ
High-compactness state characterized by a small ℓ_Φ scale, high mass, and quasi-instability. It corresponds to the third particle generation.
Generational hierarchy
Natural organization of particle masses and lifetimes resulting from the ordering of Φ compactness levels, with m(3Φ) ≫ m(2Φ) ≫ m(1Φ) and decreasing stability.
Minimum stable compactness
Discrete value of ℓ_Φ corresponding to a local minimum of the effective configuration-energy potential E(ℓ_Φ), for which a vortex structure is mechanically stable.
Effective compactness potential
Function E(ℓ_Φ) describing the configuration energy of the Φ field as a function of the compactness scale. Its multi-well structure explains the existence of three stable generations.
Internal compactness limit
Maximum compactness threshold beyond which no stable minimum of the energy E(ℓ_Φ) exists, rendering the vortex structure unstable and leading to decay.
Unstable vortex state
Configuration in which compactness exceeds the last stable minimum (beyond 3Φ), characterized by outward pressures and the absence of an energetic restoring force.
Decay by compactness relaxation
Process by which an overly compact particle reorganizes toward a lower compactness level, with emission of secondary particles (photons, neutrinos, weak bosons) and conservation of invariants.
Leptonic generations
Application of the Φ compactness scheme to charged leptons (electron, muon, tau), interpreted as the same double-vortex (N = 2, n = 1) realized at three levels 1Φ, 2Φ, and 3Φ.
Neutrino generations
Application of the Φ compactness scheme to neutrinos (N = 1, n = 1), characterized by compactness levels even lower than those of the corresponding charged leptons, explaining their extremely small masses.
Absence of a fourth stable generation
Principle according to which the Φ-field compactness potential admits only three stable minima. Any particle corresponding to a higher level would necessarily be unstable or nonexistent.
Generational lifetime
Property linking the mean lifetime of a particle to its Φ compactness level, with more compact particles being more massive and decaying more rapidly.
Dimensional flavor
Internal geometric organization of a Φ vortex defined by a triplet of active dimensional axes. Flavor determines which internal directions are engaged in Φ-field flow and thereby conditions electric charge, possible interactions, and the associated particle family.
Electron flavor (1–2–3)
Dimensional flavor characterized by the joint activation of internal axes 1, 2, and 3. Any particle sharing this flavor (or part of it) can carry electric charge and interact electromagnetically.
Neutrino flavor (4–5–6)
Dimensional flavor based on internal axes 4, 5, and 6, orthogonal to the electron flavor. Particles of this flavor share no axis with 1–2–3 and are therefore electrically neutral.
Dimensional-axis sharing
Degree of overlap between two dimensional flavors measured by the number of internal axes in common. This sharing determines the intensity and sign of the electric charge carried by a particle.
Emergent electric charge
Property resulting from the number of dimensional axes shared between a particle’s vortex and the electron flavor (1–2–3). 0 shared axis → zero charge; 1 shared axis → ±1/3; 2 shared axes → ±2/3; 3 shared axes → ±1.
Quarks and mixed flavors
Particles whose internal vortex partially shares the electron flavor (one or two common axes). This partial similarity generates fractional charges and explains quark structure (up, down, etc.).
Neutrino neutrality
Direct consequence of their dimensional flavor (4–5–6), which shares no axis with the electron flavor. This neutrality explains the absence of electromagnetic interaction and the very low detectability of neutrinos.
Dimensional flavor and interaction
Principle according to which two particles can interact via a given field only if their internal vortices share at least one dimensional axis relevant to that field.
Interaction hierarchy
Organization of fundamental forces resulting from the degree of dimensional-axis sharing between different flavors, preparing a geometric unification of interactions.
Φ flavor coherence
Global condition ensuring that the set of dimensional flavors and their combinations coherently covers all observed particles without adding arbitrary parameters.
Gravitation (CdR interpretation)
Rebalancing phenomenon of the Φ field aimed at restoring the invariant ρ·C = k_Φ, induced by local depressions of spationic density created by matter structures. The trajectory of bodies follows the field flow rather than a classical attractive force.
Spationic depression
Local decrease of effective density and pressure of the Φ field around a matter structure (stable vortex), resulting from internal compactness and associated transfers, constituting the source of the gravitational phenomenon.
Φ rebalancing flux
Density flux of the Φ field directed toward a region of spationic depression in order to reduce the density gradient, modelable in the slow regime by a diffuso-metric law J_Φ ≈ −D_Φ∇ρ.
Diffuso-metric (slow regime)
Dynamic approximation in which the Φ-field rebalancing flux is proportional to the density gradient, with advective terms becoming negligible at the gravitational scale.
Φ-field diffusivity (D_Φ)
Effective coefficient characterizing the capacity of the Φ field to dissipate a density gradient by rebalancing. It enters the emergence of gravitational coupling via G_eff = κ_Φ D_Φ c².
Effective Φ-field speed (v_Φ)
Quantity defined by v_Φ = J_Φ/ρ describing the effective motion of the Φ field in a rebalancing regime. Masses follow this dynamics rather than responding to an external force.
Effective Φ-field pressure (P_Φ)
Emergent pressure associated with a spationic gradient, written P_Φ = κ_Φ ρ c², where κ_Φ encodes the response of the Θ network. Its gradient induces the effective gravitational acceleration.
Response coefficient κ_Φ
Dimensionless coefficient representing the response of the Θ network to a variation of Φ-field density, linking effective pressure to the density field and entering the definition of G_eff.
Effective gravitational acceleration (g)
Acceleration field defined by g = −(1/ρ)∇P_Φ, describing the tendency of masses to follow spationic rebalancing in CdR.
Emergent Newtonian regime
Low-gradient limit in which the spherical solution of spationic rebalancing reproduces a 1/r² decay, yielding g(r) = G_eff M / r² without postulating a fundamental attraction.
Effective Poisson equation
Conservation and closure form leading, outside sources, to an equation of the type ∇²ρ = 0 for spationic density, and to a source relation for δρ in the presence of matter.
Emergent gravitational coupling (G_eff)
Effective constant resulting from the product of Φ-field response parameters, notably G_eff = κ_Φ D_Φ c². It links spationic rebalancing dynamics to the Newtonian form.
Structural derivation of G
CdR procedure relating gravitational coupling to minimal granularity ℓ_* and to a minimal action associated with vortices, leading to an expression of the form G ≃ ħc/m_*², with a correspondence factor tied to the Θ network.
Correspondence factor γ_Θ
Effective parameter encoding the correspondence between discrete Θ dynamics and the emergent continuous metric. It enters the expression of G_eff and requires scale calibration.
Single scale calibration
Methodological principle according to which a single absolute scale (for example ℓ_*) is fixed by a measured constant (such as G), the rest of the model relations being then structurally constrained.
Gravitational saturation (near ℓ_*)
Qualitative prediction according to which the gravitational regime cannot grow indefinitely at scales close to minimal granularity, the Φ-field dynamics changing nature as r → ℓ_*.
Black hole (CdR interpretation)
Region where all spationic flavors can be transferred simultaneously, producing an extreme Φ-field depression. Incident matter does not “enter” in the classical sense, but reorganizes by increasing local transfer capacity.
Dimensional flavor
Geometric characteristic of a particle defining the organization of its internal vortex relative to the fundamental axes of space-time (Θ network). A dimensional flavor corresponds to a triplet σ_{ijk} of internal axes, which conditions possible interactions with other particles.
Triplet σ_{ijk}
Elementary cell of the Θ network, defined by a combination of three axes among six (C(6,3)=20). Triplets σ_{ijk} serve as the geometric support of matter vortices and constitute the combinatorial basis of charge and interactions.
Axis overlap
Number of axes shared between two triplets σ_{ijk} and σ_{i′j′k′}. This quantity measures geometric compatibility between two vortex structures and determines the existence and intensity of a charge interaction.
Geometric charge
Electric charge value obtained by a simple structural mapping between the number of shared axes and charge: Q = − (number of shared axes) / 3. This definition exactly reproduces the observed charges (0, ±1/3, ±2/3, ±1) without introducing electromagnetic dynamics.
Combinatorial charge mapping
Rule linking electric charge to the combinatorial structure of σ_{ijk} triplets in the Θ network. This mapping is structural rather than dynamic: it identifies a geometric pattern prior to any complete theory of electromagnetic forces.
Fractional charge
Non-integer charge value (±1/3, ±2/3) appearing when the internal vortex of a particle shares only one or two axes with the reference triplet (electron). It results from partial overlap of dimensional axes.
Geometric neutrality
Situation in which two triplets σ_{ijk} share no common axis. It corresponds to zero charge (Q=0) and characterizes neutrinos in the CdR framework.
Charge reference
Conventional choice of a triplet σ_{ijk} serving as the basis to define the sign and scale of charges (for example the electron (1,2,3)). Global permutations of axes preserve charge ratios.
Collective charge
Charge resulting from the combination of multiple triplets (for example within a baryon), whose global overlap with the reference triplet allows effective interaction even if each component individually does not share all required axes.
Structural milestone (quantum forces)
Epistemic status of a document or concept establishing a coherent geometric correspondence (such as the origin of charges) without yet providing the complete force dynamics, deferred to later developments.
Strong force (CdR interpretation)
Emergent interaction resulting from spationic overlap, inflareactive overpressure, and internal Φ-field tension between baryonic structures. It manifests as an attraction increasing with separation up to coupling rupture.
Residual nuclear interaction
Short-range attraction between nucleons (proton–neutron, neutron–neutron) arising from spationic overlap of their internal densities and associated Φ-pressure gradients, distinct from intra-baryonic strong force.
Spationic overlap
Partial superposition of coherent spationic densities of two matter structures, measured by an overlap integral μ(r). It constitutes the primary attractive contribution to nuclear binding.
Internal baryonic density
Coherent spationic distribution associated with a nucleon, characterized by an effective radius R_N and used to describe overlap and nuclear interactions.
Inflareactive overpressure
Local increase of spationic pressure triggered when density overlap imposes a variation of complexity C to preserve the invariant ρ·C = k_Φ. It reinforces nuclear attraction.
Spationic pressure gradient
Spatial variation of effective pressure P_Φ generated by overlap and inflareaction, responsible for the attractive force exerted between nucleons.
Nuclear range
Characteristic distance beyond which residual nuclear interaction rapidly decreases, determined by baryonic size and inflareactive decay of the Φ field (≈ 1–2 fm).
Effective spationic potential
Interaction potential between nucleons defined as the sum of a spationic overlap contribution and an inflareactive contribution, used to model nuclear binding.
Overlap amplitude (A)
Effective parameter quantifying the attractive contribution due to direct spationic overlap of nucleonic densities, calibrated to the deuteron binding energy.
Inflareactive amplitude (B)
Effective parameter measuring the intensity of the additional attractive contribution due to inflareactive overpressure of the Φ field, generally smaller than the overlap amplitude.
Baryonic tension
Internal resistance effect of the Φ field opposing separation of baryonic structures, leading to an increase in energy as constituents are pulled apart.
Baryonic confinement
Property according to which the energy associated with separation of baryonic constituents increases with distance, preventing their free isolation and ensuring baryon stability.
Proton–neutron binding
Specific case of residual nuclear interaction in which spationic overlap and the absence of electromagnetic repulsion allow a stable bond (deuterium).
Nuclear phenomenological regime
Epistemic status describing an effective modeling of nuclear interaction based on calibrated parameters and coherent spationic geometry, without a full Yang–Mills–type derivation.
Quark alternation
Internal organization of a nucleon in which u and d quarks are spatially alternated to avoid accumulation of the same dimensional flavor and to maintain balance of spationic fluxes.
Nucleon
Composite particle (proton or neutron) constituted of three quarks bound by baryonic confinement and forming atomic nuclei.
Internal structure of nucleons
Geometric and spationic organization of quarks inside a proton or neutron, determined by axis sharing, 6D coherence, and spationic tension.
Axis sharing (quarks)
Number of dimensional axes shared between a quark and the reference triplet, used to characterize its relative contribution to density ρ and complexity C within a nucleon.
Axis-sharing patterns (2,2,1)
Axis-sharing configuration characteristic of the proton (u,u,d), associated with more compact internal density and more stable coherence.
Axis-sharing patterns (1,1,2)
Axis-sharing configuration characteristic of the neutron (d,d,u), associated with anisotropic density and more fragile internal coherence.
Baryonic triangle
Three-vertex geometric configuration linking the quarks of a nucleon, subjected to a spationic tension that ensures confinement.
Spationic tension σ
Effective parameter describing the resistance of the Φ field to the stretching of baryonic structures, leading to an approximately linear potential V(r) ≈ σr.
Chromatic cycle
Set of discrete internal degrees associated with the possible internal orientations of a given triplet σ_{ijk}, analogous to “color”-type states.
Dynamic chromatic cycle
Dynamic extension in which the internal orientations of a quark participate in a temporal cyclic alternation (u₁ → u₂ → u₃), potentially generating excited baryonic modes.
Chromatic cycle duration
Characteristic time associated with a complete rotation of the dynamic chromatic cycle, on the order of 10⁻²⁴ s at the baryonic scale.
Baryonic resonances (N*, Δ)
Excited states of nucleons interpreted as modes of desynchronization or enhanced coherence of the internal chromatic cycle.
Spations 0/3
Internal spationic units arising from the Θ combinatorial structure corresponding to an n/3 = 0 motif, without charge or mass, acting as local adjusters of coherence C.
Cohesion interstice
Internal zone of a nucleon where spationic coherence is weaker due to the geometry of axis sharing, which can be stabilized by 0/3 spations.
3/3
0/3 layers Internal description of levels of spationic contribution within a nucleon, contrasting regions of maximal axis sharing (3/3) with neutral regions (0/3).
Neutron–proton mass difference
Excess mass of the neutron relative to the proton, interpreted as a consequence of differences in complexity C induced by internal axis sharing.
m_d / m_u ratio
Ratio of effective masses between down and up quarks, interpreted in CdR as resulting from differentiated contributions to density ρ and complexity C.
Fundamental baryonic mode
Stable internal configuration corresponding to ordinary protons and neutrons, with balanced quark alternation and a synchronized chromatic cycle.
Excited baryonic mode
Non-stationary internal configuration of a nucleon associated with partial or total desynchronization of the chromatic cycle, leading to baryonic resonances.
Weak force (CdR interpretation)
Interaction associated with internal reorganizations of coherence and density in nucleons, enabling u ↔ d quark conversions and β decay via leptonic emission.
β decay
Process by which a neutron transforms into a proton (or vice versa) with emission of an electron or positron and a (anti)neutrino, interpreted in CdR as an internal rebalancing of the ρ/C ratio.
Proton–neutron rebalancing
Internal reorganization of a nucleon triggered by a quark conversion (u ↔ d), aimed at reducing a complexity overload C and restoring the invariant ρ·C = k_Φ.
Quark conversion (u ↔ d)
Internal transformation of an up quark into a down quark or vice versa, modifying axis sharing and the flavor layers associated with the nucleon.
Flavor layers
Set of spationic structures surrounding a nucleon and associated with electron and neutrino flavors, whose reorganization accompanies weak transitions.
Electron flavor
Dimensional configuration sharing three axes with the reference triplet (1,2,3), associated with electrically charged particles and electronic vortices.
Neutrino flavor
Dimensional configuration sharing no axis with the electronic triplet (1,2,3), associated with neutral states and neutrino-type vortices.
Neutrino spations (0/3)
Internal spationic units without charge, corresponding to an n/3 = 0 motif, capable of adjusting coherence C without significant contribution to density or mass.
Leptonic emission
Release of an electron or positron accompanied by a (anti)neutrino during an internal proton–neutron rebalancing in a β decay.
Electroweak tension (σ_W)
Internal scale of spationic coherence required to trigger a u ↔ d quark conversion and the nucleation of leptons in a weak interaction.
Fermi constant (G_F)
CdR interpretation Effective parameter describing the strength of weak interactions, interpreted in CdR as inversely proportional to the square of the characteristic internal energy of the electroweak transition.
Nucleation of the electronic vortex
Process by which an electronic-type vortex (three shared axes, charge −1) forms and detaches from a nucleon during a β decay.
Metastable neutron state
Internal configuration of the neutron exhibiting a complexity overload relative to the proton, enabling a spontaneous weak transition.
Electron capture (EC)
Weak process in which a proton captures an orbital electron, triggering an internal u→d conversion and transforming the proton into a neutron with emission of an electron neutrino.
Layer of spations (3/3)
Region of spationic coherence associated with full electronic charge, formed by sharing the three dimensional axes with the electron flavor.
3/3 layer crossing
Penetration of an electronic vortex through the protective spationic layer of a proton, causing an internal reorganization of pressure and coherence.
Weak conversion u→d
Internal transition of an up quark into a down quark triggered by a local 3/3 coherence overload and the rise of the electroweak tension σ_W.
Internal pressure reorganization
Adjustment of the Φ field within a nucleon when the balance ρ·C is locally broken, leading to a weak transition.
Collective (0/3) flavor
Neutral spationic mode corresponding to an n/3 = 0 motif, which can be expelled in free form during a weak rebalancing.
Electron neutrino emission (ν_e)
Release of a collective 0/3 state during electron capture, ensuring conservation of ρ·C and of leptonic numbers.
Energy threshold for electron capture (Q_EC)
Energetic condition determining the possibility of electron capture, depending on the neutron–proton mass difference and on the binding energy of the captured electron.
Electroweak tension σ_W
Critical spationic tension required to trigger a weak u→d or d→u transition in a nucleon.
Local Θ reorganization
Local modification of the combinatorial motifs of the Θ network induced by absorption of an electronic vortex in a proton.
Bound capture state (K electron)
Atomic state (often the K shell) whose wavefunction has non-zero density at the nucleus, making electron capture possible.
Inverse of β⁻ decay
Relation between electron capture (u + e⁻ → d + ν_e) and β⁻ decay (d → u + e⁻ + ν̄_e), viewed as two opposite weak reorganizations.
Electrostatic force (CdR interpretation)
Emergent interaction resulting from redistribution of the spationic flux around opposite or identical charges, due to differential drainage and expulsion of spations associated with electron and proton charges.
Electrostatic charge (CdR)
Stable internal orientation of the spationic flux carried by an elementary vortex, defined by the number of axes shared with the reference triplet and by the sign of the internal phase.
Internal orientation of the vortex
Oriented configuration of the dimensional triplet σ_{ijk} of a vortex, determining the sign of the electric charge (direct orientation → negative charge, inverted → positive charge).
Internal phase (of the vortex)
Parameter of internal orientation of the spationic flux of a vortex, whose sign fixes that of the associated electric charge.
Prepared field
Stable geometric reorganization of the spationic substrate around an isolated pole, characterized by an orientation of the Φ flux without the appearance of force.
Isolated pole
Single charge (electron or proton) producing a prepared field but exerting no force as long as no second pole is present.
Spationic field lines
Real physical chains of spations (0/3 to 3/3) aligned under an internal tension, constituting the lines of the electric field.
Chain of spations
Coherent chaining of spations realigned step by step, minimizing local variations of ρ·C and propagating the asymmetry of a charge.
Spationic micro-slippage
Elementary readjustment of the spationic substrate at the scale l*, whose accumulation at very high cadence generates macroscopic structures such as field lines.
Spationic inertia
Tendency of the spationic flux to maintain a rectilinear direction during successive readjustments, explaining the straightness of electric field lines.
Charge spationic tension
Directional constraint exerted by a charge on local coherence C, responsible for the alignment of neighboring spations.
Charge magnitude (CdR)
Absolute value of electric charge, given by the number of axes shared between the internal vortex triplet and the reference triplet, divided by three.
Charge sign (CdR)
Characteristic of electric charge determined by the orientation of the internal phase of the vortex relative to the reference triplet.
Realistic ontology of fields
CdR postulate according to which electric fields are discrete material structures composed of organized spations, and not mere mathematical abstractions.
Electrostatic attraction (CdR)
Interaction regime between two opposite charges in which spationic chains can connect and form closed loops, reducing the global tension of the Φ field.
Electrostatic repulsion (CdR)
Interaction regime between two charges of the same sign where converging spationic chains congest, creating an over-density incompatible with the invariant ρ·C and causing separation of the poles.
Coherence rebalancing
Process by which the spationic substrate adjusts the organization of chains to minimize gradients of the invariant ρ·C in the presence of multiple charges.
Closed spationic chain
Loop formed by the connection of spationic chains between two opposite charges, allowing local homogenization of ρ and C.
Spationic congestion
Excessive accumulation of spationic chains in an intermediate region between identical charges, generating an over-density of coherence and a local instability.
Spationic chain flux
Conserved organizational quantity of aligned chains associated with a charge, proportional to its value Q and crossing any closed surface surrounding the pole.
Chain density
Number of spationic chains per unit surface at a distance r from a charge, decreasing geometrically as 1/r².
Spationic loop
Closed structure of aligned spations resulting from attraction between opposite charges, reducing density and coherence gradients.
Principle of minimal tension (ρ·C)
Dynamic tendency of the spationic system to evolve toward configurations minimizing local variations of the invariant ρ·C, explaining electrostatic attraction and repulsion.
Conservation of chain flux
Principle according to which the total number of spationic chains associated with a charge is conserved through any closed surface, imposing a spatial 1/r² decrease.
Geometric electrostatic law (CdR)
Emergent relation imposed by conservation of chain flux, yielding a force proportional to Q₁Q₂/r² without postulating an energetic field.
Organizational (spationic) flux
Non-energetic flux corresponding to the counting and orientation of aligned spationic chains, distinct from any transport of energy.
Continuous vector interaction (CdR)
Interaction between two Φ fluxes in a continuous regime, determined by their internal orientation, phase, and flow rate, without discontinuity or abrupt regime inversion.
Continuous Φ flux
Stable configuration of spations (0/3 to 3/3) organized into a coherent flow, characterized by constant internal directional parameters.
Directional parameters (θ, φ, J)
Set of three internal variables describing a continuous Φ flux: orientation θ, phase φ, and flow rate J, sufficient to characterize interactions in the continuous regime.
Internal orientation θ
Dominant axis of alignment of a Φ flux within the six-axis Θ structure, defining the principal direction of the flow.
Internal phase φ (Φ flux)
Position of a Φ flux in its internal organizational cycle (notably for 2Φ vortices), independent of orientation θ.
Spationic flow rate J
Rate of local reorganization of spations along the internal orientation of a continuous Φ flux, measuring its structuring intensity.
Regime A
Directional compatibility Interaction regime between continuous Φ fluxes whose internal orientations are compatible, leading either to stabilization (compatible phases) or to gentle repulsion (opposed phases).
Directional compatibility
Situation in which two Φ fluxes exhibit similar internal orientations θ, allowing alignment of their spationic chains.
Phase compatibility
Condition in which two Φ fluxes possess similar internal phases φ, allowing closure of spationic chains and mutual stabilization.
Phase opposition
Configuration in which two Φ fluxes have compatible orientations but incompatible internal phases (Δφ ≈ π), preventing chain closure and increasing internal tension.
Regime B
Partial compatibility Intermediate interaction regime between continuous Φ fluxes, without clear closure or marked congestion, leading to local organizational rearrangement.
Regime C
Directional opposition Interaction regime in which the internal orientations of two Φ fluxes are nearly opposite (Δθ ≈ π), rendering any local stabilization impossible and leading to disorganization of the flux.
Φ flux flow regime
Classification of the behavior of a Φ flux according to its ability to impose its reorganizations on the spationic substrate, distinguishing a continuous regime and a discontinuous regime.
Continuous Φ flux regime
Regime in which the Φ flux imposes its reorganizations faster than the substrate’s response time, ensuring continuity of spationic chains without segmentation.
Discontinuous Φ flux regime
Regime in which the Φ flux imposes its reorganizations more slowly than the substrate can rebalance, leading to segmentation of the flux into packets separated by micro slip-zones.
Spationic continuity
Property of a Φ flux in the continuous regime, characterized by the absence of slippage or segmentation of spationic chains.
Spationic discontinuity
Loss of continuity of a Φ flux resulting in segmentation into packets and the appearance of micro slip-zones, without breaking the invariant ρ·C.
Micro slip-zone
Local region located between two packets of a discontinuous Φ flux, where coherence C is reduced and density ρ slightly increased in order to preserve the invariant ρ·C.
Radial structure of a Φ vortex
Intrinsic organization of a Φ vortex exhibiting a core in the continuous regime and a periphery in the discontinuous regime.
Continuous core of the Φ vortex
Central region of a Φ vortex where the internal cycle is fast enough to maintain a continuous and coherent flux.
Discontinuous periphery of the Φ vortex
Outer zone of a Φ vortex where the decrease in the frequency of reorganizations leads to a discontinuous flux regime.
Flux variation time (τ_variation)
Characteristic interval between two successive internal reorganizations of a Φ flux.
Substrate response time (τ_substrate)
Characteristic time required for the spationic substrate to reorganize in order to maintain the invariant ρ·C.
Segmentation of the Φ flux
Division of a discontinuous Φ flux into organizational packets separated by micro slip-zones.
Elastic string analogy
Conceptual image describing the transition between the continuous regime (smooth sliding) and the discontinuous regime (stick–slip motion) of the Φ flux.
Electrostatic compatibility of the discontinuous regime
Property according to which a discontinuous Φ flux can still produce electrostatic attraction or repulsion through longitudinal closure or congestion of spationic chains.
Preparation for magnetism
Role of the discontinuous Φ-flux regime in the emergence of transverse effects leading to magnetic phenomena.
Magnetism (CdR)
Emergent phenomenon associated with a Φ flux that has become discontinuous, in which flux segmentation and micro slip-zones enable transverse interaction effects.
Discontinuous Φ flux (magnetic regime)
Φ-flux regime characterized by segmentation into packets and a loss of continuous directional alignment, a necessary condition for the appearance of magnetic effects.
Transverse effect of the Φ flux
Reorganization of spationic coherence perpendicular to the mean direction of the flux, made possible only in the discontinuous regime.
Magnetic vortex
Local vortical structure of the discontinuous Φ flux whose orientation determines magnetic attraction or repulsion.
Vortex orientation
Sense of winding of a discontinuous Φ-flux vortex, conditioning the attractive or repulsive nature of the magnetic interaction between two vortices.
Magnetic attraction (CdR)
Interaction regime in which two vortices arising from a discontinuous Φ flux, oriented in the same sense, combine and reduce the spationic tension between them.
Magnetic repulsion (CdR)
Interaction regime in which two vortices arising from a discontinuous Φ flux, oriented in opposite senses, increase spationic tension and move apart.
Mean direction of the Φ flux (t)
Global direction followed by the packets of a discontinuous Φ flux, playing a role analogous to the magnetic field B in classical descriptions.
Direction of motion of the source (v)
Vector describing the motion of a vortex or a charge generating a Φ flux, introducing a dynamical asymmetry in the magnetic regime.
Transverse direction n
Orthogonal direction defined by the vector product v × t, along which the magnetic effect is expressed in the CdR model.
Angular dependence of magnetism
Qualitative variation of magnetic effect intensity as a function of the angle between the direction of motion v and the mean direction of the Φ flux, following a sinθ-type law.
Transverse rebalancing of coherence
Process by which the spationic substrate redistributes coherence C perpendicular to the mean direction of the Φ flux in order to preserve the invariant ρ·C in the magnetic regime.
Magnetic regime
Interaction domain associated with the vortical structuring of the Φ flux, in which transverse forces depending on source motion appear.
Magnetic force (CdR)
Interaction between electric currents interpreted as the interaction between Φ-flux vortices generated by the collective motion of electrons in a conductor.
Magnetic vortex of a current
Vortical structure of the Φ flux surrounding a conductor carrying an electric current, arising from the magnetic regime.
Orientation of current vortices
Sense of winding of Φ-flux vortices generated by a current, determined by the direction of electron flow in the conductor.
Magnetic attraction between currents
Interaction regime in which two currents flowing in the same direction produce coherently oriented vortices, reducing spationic pressure between conductors and generating attraction.
Magnetic repulsion between currents
Interaction regime in which two currents flowing in opposite directions produce oppositely oriented vortices, increasing spationic pressure between conductors and generating repulsion.
Magnetic spationic pressure
Effective pressure resulting from the local concentration of Φ-flux vortices between conductors, responsible for magnetic attraction or repulsion.
Relative orientation of vortices
Geometric configuration describing the mutual orientation of two Φ-flux vortices (coherent or opposed), determining the attractive or repulsive nature of magnetic interaction.
Magnetic interaction without poles
Description of magnetic interaction involving no magnetic poles, but only the relative orientation of Φ-flux vortices.
Force per unit length (F/L)
Quantity describing the intensity of magnetic interaction between two parallel conductors, depending on the product of their currents and their separation.
Magnetic flux circulation (IΦ)
Spationic quantity associated with an electric current, defined as the circulation of the Φ-flux velocity around a conductor.
Current–Φ-flux calibration
Relation linking the classical electric current to the circulation of the Φ flux in the spationic model, introducing a fundamental scaling factor.
Electromagnetic wave (CdR)
Propagation of a coupled oscillation of the spationic field in the magnetic regime, resulting from the dynamical alternation between flux orientation (electric field E) and transverse flux rotation (magnetic field B).
Spationic oscillation
Periodic temporal variation of the organization of the Φ flux, involving alternation between directional orientation and transverse rotation.
Electric field (E, CdR reading)
Mode of reorganization of the spationic field corresponding to a directional tension associated with a variation in Φ-flux orientation.
Magnetic field (B, CdR reading)
Mode of transverse reorganization of the Φ flux associated with a local rotation induced by the motion of charges or by electric-field dynamics.
E–B coupling
Dynamic relation by which a temporal variation of the electric field induces a transverse rotation of the flux (B), and conversely, enabling the propagation of an electromagnetic wave.
Electromagnetic propagation
Spatial transport of a self-sustained E–B spationic oscillation, propagating without material support and at constant speed.
Orientation–rotation alternation
Fundamental mechanism describing the temporal succession between directional orientation of the Φ flux (E) and transverse rotation (B), constituting the electromagnetic wave in CdR.
Electronic orbital wave
Wave of the spationic field driven by the orbital motion of an electron around a nucleus, whose stability conditions the existence of a bound state.
Closure condition of the orbital wave
Condition according to which the wave associated with the electron’s orbital motion must close upon itself after an integer number of cycles to ensure orbital stability.
Quantized orbital stability
Property according to which only certain electronic orbits are stable—those for which the orbital-wave closure condition is satisfied.
Electronic level change
Transition of an electron between two stable orbital states when the orbital-wave closure condition is no longer satisfied.
Electronic transition with photon
Process by which an electron changes orbital level by absorbing or emitting a photon, corresponding to a reorganization of the spationic field.
Electronic orbital (spationic reading)
Stable form of the spationic field around a nucleus, representing a stationary configuration of the orbital wave rather than a material trajectory.
Orbital organization of the field
Spatial distribution of stable configurations of the spationic field around a nucleus, defining electronic orbitals.
Quantum numbers (CdR reading)
Parameters characterizing stable modes of the electronic orbital wave, linked to frequency, orientation, and structure of the spationic field.
Electronic shells K, L, M…
Groupings of electronic orbitals according to their stability and level of quantization, corresponding to hierarchical organizations of the field around the nucleus.
Orbital superposition
Ability of multiple electronic orbitals to combine spatially, enabling the establishment of chemical bonds through overlap of field configurations.
Chemical bond (spationic reading)
Stabilization of an atomic system resulting from the coherent superposition of electronic orbitals, interpreted as an overlap of spationic-field structures.
Photon (CdR)
Packet of spations in rotation forming a closed and stable loop of the spationic field, arising from a wave that has closed upon itself.
Closed vortex of the spationic field
Self-sustained circular structure of the spationic flux resulting from sufficiently intense rotation preventing the wave from remaining spread out.
Spationic rotation
Local rotation of the organization of the spationic field, which can lead to closure of a wave into a stable vortex.
Spationic flux loop
Closed trajectory of the spationic-field flux constituting the internal structure of a photon.
Photonic stability
Capacity of a closed vortex of the spationic field to maintain itself during propagation thanks to its internal rotation.
Coherent phase (photon)
Synchronized internal organization of the spationic field carried by a photon throughout its propagation.
Photonic propagation
Displacement of a closed vortex of the spationic field at constant speed, without material support and without rest mass.
Change in field organization
Reorganization of the spationic field (for example during an electronic orbital transition) that can trigger rotation and the formation of a photon.
Spationic-field wave
Extended and non-closed configuration of the spationic field, liable to transform into a photon if sufficient rotation appears.
Non-substantiality of the photon
Principle according to which the photon is not a solid particle, but a spationic-field wave stabilized by its own rotation.
Inflareaction (photonic)
Reaction of the spationic field consisting in filling the space left by the displacement of a photon, creating a rear overpressure that ensures its propulsion.
Propulsion by inflareaction
Mode of motion in which a photon is pushed forward by the overpressure generated behind it during the readjustment of the spationic field.
Photonic rear overpressure
Local increase of spationic pressure forming behind a propagating photon, resulting from the return of the field into the region it has vacated.
Photonic propagation (CdR)
Displacement of a photon governed by the inflareaction of the spationic field, without any intrinsic force of the photon, following the local capacity of the field to reorganize.
Speed of light c (CdR reading)
Limiting propagation speed fixed by the maximal rate of reorganization of the spationic field, independent of the photon itself.
Photon guidance
Deflection, reflection, or transformation of a photon resulting from the interaction of its closed vortex with the local structure of the spationic field.
Photonic deflection (CdR)
Modification of a photon’s trajectory due to a spatial variation in the organization of the spationic field, without loss of internal coherence of the closed vortex.
Photonic guiding
Channeling of a photon’s propagation by a spationic-field structure presenting organized coherence gradients, progressively orienting its trajectory.
Photonic reflection (CdR reading)
Rejection of a photon by a region of the field with which its vortex cannot geometrically or dynamically match, leading to a reversal of direction without internal destabilization.
Photonic deployment
Process by which a closed photonic vortex is forced to open under excessive compression of the spationic field, losing its initial stability.
Particle–antiparticle pair (photonic origin)
Configuration resulting from the deployment of a photon into two complementary open vortices, arising from the dissociation of a rotating packet of spations.
Photonic disassembly
Loss of internal coherence of a photonic vortex crossing a region where the organization of the spationic field is saturated, leading to the disappearance of the photon as a stable entity.
Photon–photon neutralization
Process by which two photons of opposite phases interact destructively, their coherence recomposing into a particle–antiparticle pair.
Local phase perturbation (Φ)
Local variation of the internal phase θ of the Φ field, causing a transient modification of coherence C and triggering a spationic rebalancing process.
Phase propagation
Spatial transmission of a phase perturbation of the Φ field under the constraint of the invariant ρ·C, taking the form of an open wave when the regime remains linear.
Cohesion current (J_C)
Organizational flux by which a local variation of coherence C is exported to neighboring regions in order to preserve the invariant ρ·C of the Φ field.
Phase wave (Φ)
Linear propagation regime of a phase perturbation of the Φ field, obeying a wave equation and corresponding to the classical limit of electromagnetic waves.
Maxwell limit (CdR)
Linear and open regime of the Φ-field dynamics in which phase perturbations propagate as superposable waves, without closure or quantization.
Breakdown of Φ-field linearity
Dynamic transition occurring when the amplitude of a phase perturbation makes the non-linear effects of the Φ field dominant, preventing purely wave-like propagation.
Phase-closure threshold (Δθ = 2π)
Critical geometric condition beyond which a phase perturbation of the Φ field can close upon itself, giving rise to a stable closed vortex.
Closure of coherence
Process by which a portion of coherence of the Φ field ceases to propagate as an open wave and closes into an autonomous vortex structure.
Photonic helicity (CdR reading)
Choice of the sense of coherence closure of the Φ field during the formation of a closed vortex, corresponding to the two possible orientations m = ±1 around the propagation direction.
Perturbation–wave–vortex continuity
Principle according to which an excitation of the Φ field can evolve continuously from a local perturbation to a Maxwell wave and then to a closed vortex, without ontological rupture.
Photonic coherence zone (Z_coh)
Spatial region in which the coherence C associated with a photon remains sufficient to maintain a phase correlation, allowing potential interaction without energy transport.
Extent of photonic coherence
Spatial range of a photon’s coherence C, defining the volume within which multiple targets may become compatible before an actual interaction occurs.
Photon–electron phase matching
Condition under which the local phase orientation of the Φ field associated with a photon is compatible with that of an electron, determining the effective possibility of interaction.
Local phase compatibility
Situation in which an electronic site belongs to a photon’s coherence zone and shares sufficient phase orientation to engage an interaction dynamics.
Coherent preparation of the substrate
Transient state of the Φ field in which several sites are rendered compatible by diffusion of coherence, without any transfer of energy having yet occurred.
Interaction by coherence threshold
Mechanism by which a photon–electron interaction occurs only if a compatibility parameter K exceeds a critical value, independently of geometric distance.
Dynamic competition of sites
Process by which several compatible sites compete during interaction with a photon, with only one ultimately being selected by positive feedback.
Geometric selection of absorption
Principle according to which the site absorbing a photon is the one presenting the best coherence and phase compatibility, and not necessarily the spatially closest.
Local geometric collapse
Final concentration of a photon’s coherence and energy on a single site, resulting from a local and continuous dynamic process within the Φ field.
Coherent photonic reflection
Re-emission of a photon by a site with which phase matching is not satisfied, without loss of global coherence.
Photonic guidance by coherence
Preferential orientation of a photon’s propagation due to gradients of the spationic field influencing the diffusion of coherence within Z_coh.
Weak non-locality (CdR)
Extended yet locally causal character of photonic coherence, allowing a presence “here and there” without instantaneous energy transport or violation of locality.
Photonic coherence volume
Extended spatial region in which the phase orientation of the Φ field associated with a photon remains correlated, allowing potential interaction at several points without multiple energy localization.
Phase coherence (Φ field)
Spatial correlation of the phase orientation of the Φ field, independent of energy localization, capable of simultaneously spanning several regions of an experimental setup.
Preservation of coherence
Necessary condition for the appearance of interference patterns, in which the phase orientation of the Φ field remains unconstrained and compatible throughout the coherence volume.
Coherence contraction
Spatial reduction of the photonic coherence volume caused by a measurement interaction or a local constraint on the orientation of the Φ field.
Which-path measurement (CdR reading)
Local interaction that imposes a determined orientation of the Φ field, destroying extended phase coherence and suppressing interference.
Interference (double slit, CdR)
Spatial probability structure resulting from coherent superposition of phase orientations of the Φ field originating from distinct paths, without division of photonic energy.
Double-slit experiment (CdR reading)
Setup revealing the spatial extension of the phase coherence of the Φ field associated with a single photon, and not a multiple passage of the particle itself.
Phase matching
Local condition in which the phase orientation of the Φ field carried by a photon is compatible with that of a material system, making interaction possible.
Coherent reflection
Re-emission of a photon when phase matching with the medium is not satisfied, without loss of internal coherence of the Φ field.
Photonic guidance (by coherence)
Transmission of a photon through a structured region of the Φ field when local orientation allows continuity of phase coherence.
Quantum entanglement (CdR)
Structural relation between multiple excitations arising from the same Φ structure, in which their internal phases remain constrained regardless of spatial separation.
Entangled Φ structure
Single geometric configuration of the Φ field of which several distant particles constitute correlated manifestations.
Quantum twins
Pair of photons or particles created simultaneously from the same Φ excitation, sharing a common phase constraint.
Entangled phase constraint
Relation imposed at creation linking the internal phases of two entangled excitations (e.g., φ_A + φ_B = φ₀), conserved during propagation.
Non-local structural correlation
Correlation observed between distant systems resulting from a shared Φ structure, without signal exchange or dynamic interaction at a distance.
CdR non-locality
Spatially extended manifestation of a phase constraint inscribed in Φ, distinct from any superluminal transmission or direct causality.
Ghost action (CdR rereading)
Apparent instantaneous influence between entangled systems, interpreted in CdR as the local reading of an already constrained Φ structure.
Bell tests (CdR reading)
Experiments revealing correlations incompatible with local hidden variables, interpreted in CdR as signatures of a shared Φ structure.
Absence of signaling (CdR)
Principle according to which entangled correlations allow no controllable information transfer between distant systems.
Local update of correlation
Process by which a local measurement selects a compatibility with the Φ structure without causally modifying other entangled sites.
Quantum eraser (CdR reading)
Experiment showing the restoration or disappearance of interference depending on access to phase information, interpreted as control of Φ coherence.
Quantum teleportation (CdR)
Transfer of a phase and coherence state via an entangled Φ structure, without material displacement of the carrier particle.
Quantum key (CdR reading)
Encryption device exploiting entangled phase correlations imposed by Φ, detecting any attempt at external decoherence.
Quantum entanglement (CdR)
Configuration in which two particles arising from the same creation event remain correlated by a geometric constraint inscribed in the Φ field, independently of their spatial separation.
Entangled pair
System composed of two particles (A, B) created simultaneously and sharing a common internal phase constraint, forming a single correlated structure within Φ.
Entanglement zone (Z_int)
Topological structure of the Φ field established at the creation of an entangled pair, maintaining phase correlation between the particles without transport of energy or signal.
Entangled phase correlation
Relation imposed between the internal phases of two entangled particles (φ_A + φ_B = φ₀), conserved as long as the Z_int structure persists.
Structural non-locality
Form of non-locality in which correlations between distant systems arise from a global structure of the Φ field, and not from any dynamical influence or superluminal signal.
Causal locality
Principle according to which no usable information can be transmitted between systems at a speed exceeding that of light, strictly respected in CdR.
No-signaling (CdR)
Property according to which marginal distributions of measurement outcomes remain independent of choices made on a distant system, despite the existence of entangled correlations.
Bell test
Experimental protocol designed to measure correlations between entangled systems in order to test the limits imposed by classical local theories.
Bell inequality
Mathematical relation imposing an upper bound on correlations possible within any classical local theory, systematically violated by entangled systems.
Bell parameter (CHSH)
Quantity computed from experimental correlations between two systems measured with different settings, used to test violations of Bell inequalities.
Violation of Bell inequalities
Experimental exceeding of classical bounds on local correlations, a signature of quantum entanglement.
Random measurement choice
Procedure consisting in selecting measurement settings unpredictably and independently in order to rule out any prior classical correlation.
Coordinated local collapse
Process by which each measurement acts locally on an entangled particle, while the global coherence is updated by the structural constraint of Φ without any causal interaction at a distance.
Local measurement interaction
Strictly local coupling between an entangled particle and a measurement apparatus, determining the observed outcome without directly influencing the distant system.
Correlation without energy transport
Correlation between entangled systems that involves no exchange of energy, field, or physical signal.
Falsifiable CdR predictions (entanglement)
Set of measurable deviations proposed by CdR (dependence on distance, temperature, or substrate gradients) allowing CdR to be distinguished from standard quantum mechanics.
Quantum entanglement (CdR)
Non-local correlation between multiple particles interpreted as the expression of a common geometric constraint inscribed in the Φ structure at their creation.
Entangled Φ structure
Geometric configuration of the Φ substrate imposing a global phase relation between several spatially separated photonic vortices.
Entangled photon pair
System composed of two photons originating from the same creation process and linked by a common phase constraint inscribed in Φ.
Global phase constraint
Geometric relation linking the internal phases of several entangled particles (e.g., φ_A + φ_B = φ₀), conserved independently of their spatial separation.
Bell test
Experimental protocol comparing measured correlations to classical local bounds, making it possible to reveal quantum entanglement.
Bell parameter
Quantity computed from measurement correlations between distant observers, used to test violations of classical local inequalities.
Violation of Bell inequalities
Experimental exceeding of bounds imposed by any classical local theory, indicating the existence of non-classical correlations.
Random measurement choice
Independent and unpredictable selection of measurement settings by distant observers, guaranteeing the absence of classical causal correlation.
Relativistic locality
Principle according to which no usable information can propagate faster than light, respected in CdR despite entangled correlations.
GHZ state
Multipartite entangled state characterized by a single global constraint linking all particles simultaneously, offering maximal correlations but extreme fragility.
GHZ fragility
Extreme sensitivity of a GHZ state to the loss or decoherence of a single particle, leading to the collapse of global entanglement.
W state
Multipartite entangled state in which entanglement is distributed across several redundant configurations, ensuring increased robustness against losses.
W robustness
Ability of a W state to retain partial entanglement even after the loss of one or more particles.
Entanglement topology
Geometric organization of entanglement within Φ determining the strength of correlations and their resistance to decoherence.
Entangled decoherence
Process by which interaction with the environment alters or destroys phase constraints inscribed in Φ, reducing quantum correlations.
Quantum eraser (CdR reading)
Interference protocol in which which-path information of a photon is rendered inoperative by reconditioning phase constraints of the Φ substrate, allowing conditional reappearance of fringes without retrocausality.
Which-path information
Encoding of a phase bifurcation in the Φ substrate rendering trajectories distinguishable and suppressing interference in observable marginals.
Erasure of which-path information
Operation consisting in reunifying phase constraints associated with distinct paths, restoring the possibility of interference without modifying past events.
Quantum teleportation (CdR reading)
Process by which a quantum state is locally reconstructed at a distance from a preexisting entangled Φ structure and classical communication, without transport of matter or superluminal energy.
Local state reconstruction
CdR interpretation of teleportation according to which the final state emerges from a local reconfiguration of the Φ substrate guided by an entanglement constraint and classical information.
Classical teleportation channel
Transmission of binary information required to select the correct local configuration of the Φ substrate during quantum teleportation.
Quantum cryptography (QKD)
Key-distribution method based on quantum correlations in which any interception attempt manifests as a measurable decoherence of the Φ substrate.
Structural security (CdR)
Principle according to which the security of quantum protocols derives from the sensitivity of the Φ structure to any external interaction, inducing observable traces.
Eavesdropping-induced decoherence
Measurable increase of decoherence of the Φ substrate caused by coupling of a third-party device to an entangled system.
Entanglement zone
Region of the Φ substrate in which several systems share a common phase constraint guaranteeing their quantum correlations.
GHZ state
Multipartite quantum state characterized by a unique global phase constraint linking all systems, offering maximal correlations but great fragility to loss.
W state
Multipartite quantum state in which entanglement is distributed over several redundant configurations, conferring increased robustness to losses.
Robustness of entanglement
Ability of an entangled state to preserve quantum correlations despite partial loss or decoherence of some constituents.
Entanglement topology
Geometric organization of phase constraints in Φ determining the fragility or robustness of entangled states (GHZ, W, networks).
Bell test
Experimental device measuring correlations whose violation of classical bounds reveals the existence of a non-factorizable entanglement structure.
Bell parameter
Quantity computed from measurement correlations allowing comparison between classical local and quantum predictions.
Structural non-locality (CdR)
Geometric origin of quantum correlations attributed to a global structure of the Φ substrate, without superluminal causal transmission.
CdR cosmology
Framework describing the Universe as a dynamic expression of the fundamental field CELA, in which space, time, matter, and gravitation emerge from a single organizational invariant.
CELA (cosmological substance)
Fundamental Substance of the Real whose internal variations generate space, time, matter, and cosmological structures.
Cosmological invariant ρ·C = kΦ
Equilibrium relation organizing cosmological evolution, linking spationic density ρ and organizational coherence C across all phases of the Universe.
Continuous cosmological process
View of the Universe as a multidimensional dynamic process, without a unique initial event, structured by cycles of expansion, contraction, and rebound.
Dimensional activation
Process by which the axes of the Real are activated, folded, or deployed, leading to dimensional transitions (e.g., 6D → 7D).
Dimensional transition 6D→7D
Geometric transition leading to the emergence of stable matter and cosmological structures from the multidimensional substrate.
Fundamental real time
Elementary rhythm arising from the internal transformations of CELA, constituting the primary cycles of the Real prior to any materialization.
Material time
Emergent time proper to matter, resulting from its internal mechanisms and modulated by speed, acceleration, and surrounding spationic density.
Relativity of time (CdR)
Variation of the rhythm of material time due to non-instantaneous reorganization of the spationic field around accelerated or massive systems.
Kinematic time dilation
Slowing of internal processes of a system subjected to a change in velocity, resulting from incomplete reorganization of the spationic flow.
Gravitational time dilation
Slowing of material time near masses, due to dilation of the spationic flow toward matter.
Spationic flow toward matter
Tendency of the spationic field to converge toward regions of high material density, locally modifying the rhythm of time.
Twin paradox (CdR reading)
Interpretation of differential aging as a consequence of non-instantaneous reorganization of the spationic field under acceleration.
Cosmological cycles
Sequences of expansion, contraction, and rebound structuring the global evolution of the Universe within the CdR framework.
Cosmic cycle (CdR)
Periodic process of expansion, contraction, and rebound of the Universe, governed by density ρ, coherence C, and the internal dynamics of CELA, without absolute beginning or end.
Great Rebound
Non-singular cosmic transition corresponding to maximal saturation of density and tension of the Φ substrate, triggering inversion of gradients and the passage from contraction to expansion.
Effective dimensionality (D_eff)
Number of degrees of freedom actually active in the Φ substrate at a given epoch, varying dynamically between 5D, 6D, and 7D depending on the complexity of ρ and C gradients.
5D cosmological phase
Dilute regime of the Universe where density is minimal, coherence maximal, and where three spatial dimensions plus two organizational dimensions suffice to describe large-scale correlations.
6D cosmological phase
Intermediate regime characterized by strengthening density and coherence gradients, corresponding to hierarchical structuring (filaments, halos, large-scale structures).
7D_min cosmological phase
Dimensional saturation regime reached near the Great Rebound, required to encode maximal internal fluctuations of the Φ substrate without singularity.
Spationic Φ tension
Global measure of internal stress of the Φ substrate, dependent on density and coherence gradients, governing cosmological evolution, the time scale, and expansion.
Invariant of immanence (ρ·C ≈ k_Φ)
Fundamental relation linking spationic density and organizational coherence, imposing physical bounds on cosmological regimes and preventing any singularity.
Emergent cosmological time (T_c)
Order parameter of the cosmic cycle defined by the integral of the internal rhythm of the Φ substrate, distinct from geometric time and variable with spationic tension.
Material time dilation (CdR reading)
Slowing of the internal rhythm of matter due to non-instantaneous reorganization of the Φ substrate under changes of velocity or density, the empirical equivalent of relativity.
Cosmic expansion (CdR reading)
Phase of the cycle in which spationic tension decreases, leading to an effective increase in the scale of the Universe without recourse to fundamental dark energy.
Late-time cosmic acceleration
Emergent effect associated with the dimensional transition 6D → 5D, manifesting as a slowed deceleration of Φ tension, classically interpreted as dark energy.
Absence of cosmological singularity
Property of the CdR model according to which density, coherence, tension, and dimensionality remain always bounded, eliminating any Big Bang–type singularity.
Cosmological recurrence
Cyclic and self-consistent character of the CdR Universe, in which each rebound inherits conditions dynamically determined by the preceding cycle.
Dark matter (CdR)
Non-radiative gravitational component composed of spationic structures organized according to axis combinations incompatible with electromagnetic interactions.
Spation flavors
Elementary internal configurations of the Φ field defined by combinations of three axes out of six, yielding 20 possible structures.
Dimensional combination (6D)
Selection of three internal axes among six defining a structural charge and a spation flavor.
Dimensional charge (Q)
Measure of the internal alignment of a combination of three dimensional axes, used to classify spationic structures.
Radiative Φ⁺ sector
Φ-field regime in which structures can close into stable vortices, produce photons, and form ordinary matter.
Non-radiative Φ⁻ sector
Φ-field regime in which fluxes remain open, do not produce photons, and constitute a diffuse gravitational component.
Non-radiative matter
Form of matter arising from spationic structures incapable of emitting or absorbing photons, while fully contributing to gravitation.
Cosmological proportion 19/20
Natural ratio between non-radiative and radiative structures resulting from the combinatorics of the 20 spation flavors, corresponding to the observed fraction of dark matter.
Unification of matter–antimatter–dark matter
CdR view according to which all forms of matter emerge from the same CELA substrate, differentiated solely by the combination and orientation of dimensional axes.
Coupling membrane
Collective effect of charges in the 7D domain acting as a constraining interface on the 6D domain, capable of producing confinement or constraint zones.
Inter-domain confinement
Stabilization/localization of a domain A within a domain B through geometric constraint exerted by B’s boundary structure, independently of matter’s own interactions.
Dimensional retention
“Retention” effect analogous to a flexible channel: domain B maintains a boundary structure that prevents dispersion of domain A as long as the scale difference persists.
Collapse inversion (6D→7D)
Interpretation according to which a density collapse observed in 6D corresponds, in 7D geometry, to a region of relaxation or expansion of the flux.
Black hole (7D reading)
Collapsed object seen in 6D whose 7D equivalent appears as a point of emission/outflow of the flux, locally inverting the direction of field curvature.
Local curvature inversion
Reversal of the effective direction of field curvature when passing from a 6D to a 7D reading, notably near collapsed objects (e.g., black holes).
Anthropic principle (CdR reading)
Interpretation according to which physical constants and complex structures do not result from prior fine-tuning, but emerge as stable solutions of the Φ-field immanence constraint.
Immanence constraint (ρ·C = kΦ)
Fundamental relation linking spationic density ρ and organizational complexity C, whose stationary solutions define physical constants and stable forms of the Real.
Physical constant as attractor
Stable value of a fundamental quantity (charge, mass, coupling, limiting speed) interpreted as a fixed point of the Φ-field coherence dynamics.
Coherence attractor
Dynamic configuration of the Φ field for which local variations of ρ·C are minimized, naturally orienting evolution toward stable and organized states.
Global attractor
Coherence attractor applying at the fundamental scale of the Real, typically corresponding to a universal physical constant.
Local attractor
Coherence attractor operating at a finite scale (matter, biology, cognition), corresponding to organized but contingent structures.
Spationic constraint network
Organization of the Φ field in which non-local spations are linked by transfer thresholds, forming a global network of interdependent constraints.
Selection by tension reduction
Process by which Φ-field configurations are favored non-randomly according to their capacity to reduce global internal tensions.
Coherent dissipative form
Stable organization enabling efficient dissipation of tensions while maintaining strong internal coherence.
Self-similar organization
Dynamic structure repeating coherent motifs across different scales, appearing as a natural attractor of Φ dynamics.
Ordered complexity
State of a system exhibiting rich internal diversity while preserving global coherence, favoring smooth circulation of CELA.
Life (CdR reading)
Specific form of coherent dissipative organization, compatible with the immanence constraint and favored as a local attractor of the Φ field.
Nervous system (CdR reading)
Highly organized material structure functioning as a node of coherence regulation, enabling exploration and selection of internal trajectories.
Will (CdR interpretation)
Capacity of an organized system to orient its internal dynamics by selecting a trajectory among several compatible attractors.
Internal orientation of the Real
Property whereby the dynamics of the Φ field do not merely evolve mechanically, but preferentially orient toward certain stable configurations.
Coherent bifurcation
Possibility for Φ-field dynamics to follow different trajectories compatible with the immanence constraint, without unique determination.
Immanent freedom
Interpretation according to which freedom is not external to the constraints of the Real, but resides in the internal choice among possible attractors.