Consciousness as a Compatibility-Constrained Regime of Appearance

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1. Verfasser: Vincken, Joris
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Veröffentlicht: Zenodo 2026
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author Vincken, Joris
author_facet Vincken, Joris
contents <p>Building on the Projective Narrowing Model (PNM), this paper derives structural necessity conditions for sustained appearance. Here, appearance is defined minimally as temporally ordered relational distinguishability, introduced without phenomenological, biological, or ontological assumptions. From this starting point, we derive necessary conditions under which ordered distinction can remain structurally definable.</p> <p>Three results follow. First, appearance requires instantiated relational differentiation. Second, structural nullity defines a symmetry limit in which distinguishability and temporal order become undefined. Third, persistence of appearance requires compatibility between relational differentiation and relational coherence, establishing conditions under which relational change remains continuously comparable relative to an invariant symmetry limit. These conditions admit a geometric representation in projective form, expressed through complementary relational spreads constrained by a tripartite compatibility relation Δx · Δ · Δθ ≥ ℓ_P E_P, excluding total relational collapse without introducing dynamical or ontological assumptions.</p> <p>Extending this framework to trajectory space, we derive a structurally testable survival-class restriction: only a measure-limited subset of compatible trajectories remains persistently definable. Conscious appearance, if instantiated, can occur only within such compatibility-constrained survival regimes, without being identified with them.</p> <p>Minimal dynamical simulations demonstrate that boundary-regime dynamics arise generically under compatibility constraints when differentiation and coherence must coexist. Independent analyses of physiological EEG datasets spanning wakefulness, sleep, anesthesia, epileptic seizures, and cross-species recordings reveal ordering patterns consistent with these predicted compatibility-bound regimes and exceeding phase-randomized null expectations.</p> <p>The present work does not define consciousness and makes no claim of sufficiency for experience. Instead, it derives geometric necessity conditions for sustained appearance. The framework is structurally falsifiable at the level of relational organization and constrains which classes of dynamical systems can sustain persistent appearance.</p>
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spellingShingle Consciousness as a Compatibility-Constrained Regime of Appearance
Vincken, Joris
Consciousness
appearance
projective geometry
relational differentiation
temporal coherence
EEG
compatibility constraints
structural falsifiability
<p>Building on the Projective Narrowing Model (PNM), this paper derives structural necessity conditions for sustained appearance. Here, appearance is defined minimally as temporally ordered relational distinguishability, introduced without phenomenological, biological, or ontological assumptions. From this starting point, we derive necessary conditions under which ordered distinction can remain structurally definable.</p> <p>Three results follow. First, appearance requires instantiated relational differentiation. Second, structural nullity defines a symmetry limit in which distinguishability and temporal order become undefined. Third, persistence of appearance requires compatibility between relational differentiation and relational coherence, establishing conditions under which relational change remains continuously comparable relative to an invariant symmetry limit. These conditions admit a geometric representation in projective form, expressed through complementary relational spreads constrained by a tripartite compatibility relation Δx · Δ · Δθ ≥ ℓ_P E_P, excluding total relational collapse without introducing dynamical or ontological assumptions.</p> <p>Extending this framework to trajectory space, we derive a structurally testable survival-class restriction: only a measure-limited subset of compatible trajectories remains persistently definable. Conscious appearance, if instantiated, can occur only within such compatibility-constrained survival regimes, without being identified with them.</p> <p>Minimal dynamical simulations demonstrate that boundary-regime dynamics arise generically under compatibility constraints when differentiation and coherence must coexist. Independent analyses of physiological EEG datasets spanning wakefulness, sleep, anesthesia, epileptic seizures, and cross-species recordings reveal ordering patterns consistent with these predicted compatibility-bound regimes and exceeding phase-randomized null expectations.</p> <p>The present work does not define consciousness and makes no claim of sufficiency for experience. Instead, it derives geometric necessity conditions for sustained appearance. The framework is structurally falsifiable at the level of relational organization and constrains which classes of dynamical systems can sustain persistent appearance.</p>
title Consciousness as a Compatibility-Constrained Regime of Appearance
topic Consciousness
appearance
projective geometry
relational differentiation
temporal coherence
EEG
compatibility constraints
structural falsifiability
url https://doi.org/10.5281/zenodo.19371072