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The Entanglement Continuity Theory (Introducing the Limit of Identicality) A New Foundational Framework for Quantum-Relational Continuity

Tasia Saumier

Published Jan 31, 2026• 0 citations
Publisher

Abstract

Abstract The Fine-structure constant (α) — hereafter referred to as the Limit of Identicality (α ≈ 1/137) is a dimensionless fundamental constant governing the strength of the Electromagnetic interaction. Despite its centrality, its meaning and origin remain mysterious. This paper proposes the Entanglement Continuity Theory (ECT): α represents the universal lower boundary of entanglement continuity — the minimum coupling strength that ensures no two points in space-time can ever be fully identical or fully separate. ECT reframes α as the grain of differentiation embedded in reality, ensuring that all systems retain persistent relational imprints ('entanglement memory') even when decoherence renders them unmeasurable. This explains why trauma and contamination leave lingering energetic fields in environments long after physical traces are removed, and why unresolved trauma can destabilize regions for generations.

DOI
10.5281/zenodo.18446439

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Abstract The Fine-structure constant (α) — hereafter referred to as the Limit of Identicality (α ≈ 1/137) is a dimensionless fundamental constant governing the strength of the Electromagnetic interaction. Despite its centrality, its meaning and origin remain mysterious. This paper proposes the Entanglement Continuity Theory (ECT): α represents the universal lower boundary of entanglement continuity — the minimum coupling strength that ensures no two points in space-time can ever be fully identical or fully separate. ECT reframes α as the grain of differentiation embedded in reality, ensuring that all systems retain persistent relational imprints ('entanglement memory') even when decoherence renders them unmeasurable. This explains why trauma and contamination leave lingering energetic fields in environments long after physical traces are removed, and why unresolved trauma can destabilize regions for generations.
The fine structure constant (α≈1/137) governs the strength of electromagnetic interaction and is fundamental to the existence of atoms, chemistry, and life. Despite its central importance, no theoretical derivation for its specific value exists in standard physics. This paper proposes a novel hypothesis grounded in the Integrated Consciousness Studies (ICS) framework: that α is not an arbitrary physical constant, but a fundamental "coupling constant" between consciousness and the electromagnetic field. Building on the Matter-to-Information Conversion (MIC) and Directed Decoherence models, we argue that 1/137 represents the precise informational threshold required for consciousness to "collapse" into stable material reality. This perspective reinterprets the fine-tuning of the universe as a functional requirement for conscious agency. Fine Structure Constant, 1/137, Alpha, Electromagnetism, Fine-Tuning Problem, Quantum Decoherence, Integrated Information Theory (IIT), Inside-Out Universe, Consciousness-Matter Coupling
This paper proposes a relational-structural interpretation of the fine-structure constant, α, as a dimensionless bridge-ratio of causal observability. Rather than identifying α with consciousness itself, the paper frames it as an observer-normalised coupling ratio through which electromagnetic interaction becomes available to bounded registration. Within the Unified Relational-Structural Framework, the proposed expression > R_EM = α O Ψ ΔE > relates realised electromagnetic structure, observer-bounded registration, possibility structure, and the energetic cost of realised distinction. The paper argues that α dimensionless character is conceptually significant: it is not a material quantity with units, but a pure relational ratio linking causal interaction to observable registration. The familiar low-energy value α \approx 1/137 is therefore interpreted not as a mystical constant or mental substance, but as the electromagnetic ratio by which causal relation becomes measurable structure for bounded observers. The work is interpretive and foundational rather than a modification of established quantum electrodynamics. α is not identified with consciousness. α is not proposed as a new force. α is not treated as adjustable. α does not replace QED. α does not cause collapse. Disclaimer This work was written and developed by Malin Hess with assistance from AI language models, including OpenAI’s ChatGPT, for brainstorming, drafting, editing, and formatting support. The author retains responsibility for the final content, interpretation, and claims. AI assistance does not constitute independent scientific validation.
The fine-structure constant alpha approximately 1/137 is traditionally regarded as a fundamental dimensionless parameter. I argue instead that alpha is a scaled quantity that arises only where the structural scales contributed by classical electromagnetism (e), quantum mechanics (h-bar), and special relativity (c) intersect. None of these theories, taken individually, supplies the independent scales required to define alpha. The constant first appears when relativistic corrections are added to the Schrodinger-Bohr description of hydrogen (Sommerfeld), and it becomes the structural coupling in quantum electrodynamics, where quantum and relativistic effects modify the classical electromagnetic interaction. Expressing the governing laws in canonical form reveals this dependence and eliminates representational artifacts that make alpha appear fundamental. The running of alpha in QED further demonstrates its status as a scale-dependent coupling rather than a universal constant. I conclude that alpha is a domain-specific structural ratio reflecting contingent relationships among independent physical scales.
This accepted manuscript is structurally governed by THE META-INDEX (Zenodo DOI: 10.5281/zenodo.18169167) Quantum theory achieves unparalleled empirical success, yet it remains ontologically incomplete with respect to the nature of transitions between physical states. While quantum states are rigorously defined, the process by which a system moves from a potential state to a realized state is typically treated as instantaneous, probabilistic, or measurement-dependent, leaving the transition itself conceptually unexamined. This structural omission underlies several persistent foundational problems, including the measurement problem and the ambiguous status of probability. In this work, quantum behavior is reinterpreted not as an intrinsic property of discrete entities, but as the manifestation of threshold organization governing stable transitions between states. To formalize this perspective, the concept of an Organizational Field (OF) is introduced. The Organizational Field is defined as a topological–temporal regulatory structure that constrains admissible transitions without functioning as a force, energy carrier, or particle field. Within this framework, quantization emerges as a consequence of stability regulation during transitions rather than fundamental discreteness. The fine-structure constant α is accordingly reinterpreted not as a fundamental coupling parameter, but as the stability-band signature of the Organizational Field as projected onto electromagnetic processes. This interpretation accounts for the dimensionless character of α, its small but nonzero value, and its universality across physical scales, without attempting to derive its numerical magnitude. A conceptual distinction is drawn between π as a constant of static geometric form and α as a constant of dynamic transition stability. The framework yields falsifiable predictions, including the existence of micro-band structures in transition statistics and context-sensitive deviations under extreme conditions. The proposed model offers a structural completion of quantum theory by introducing an explicit ontology of transition grounded in threshold organization
Entanglement is commonly treated as a uniquely quantum resource whose limitations are attributed to environmental disturbance, system size, or decoherence. Such explanations, however, fail to identify a principled boundary between quantum and classical behavior. This paper proposes a different account: entanglement does not break down because systems become larger, but because the laws required to sustain entanglement become too complex to remain isolated and enforceable. Within the Generative Law framework, entanglement is reinterpreted as the enforcement of a single admissible law across multiple entities. Scaling entanglement therefore corresponds to scaling a global law under increasing constraint density. We show that this scaling encounters a fundamental limit: beyond a certain complexity threshold, admissibility constraints proliferate faster than they can be coherently maintained, leading to inevitable law leakage and the emergence of classical behavior. This analysis reframes the quantum–classical boundary as a law-complexity threshold rather than an ontological divide. Classicality appears not as a distinct regime of reality, but as the natural outcome of failed global law enforcement under complexity growth. No appeal to wavefunction realism, collapse postulates, or observer-dependent ontology is required. This article is part of a broader theoretical program investigating the emergence of spacetime, geometry, and physical structure from the ψ–Θ–χ continuum. Earlier works in this program explore different layers and stages of the framework, ranging from foundational pre-structural regimes to geometric realization: Paper 0 — Generative Architecture: Toward a Unified Generative Physics Framework Paper 1 — Generative Architecture: The IGF as the Entry Point to Unified Physics (Awareness Theory) Paper 2 — Generative Architecture: Vacuum as the Foundational Layer of Unified Physics (Vacuum Theory) Paper 3 — Generative Architecture: A PRF-Based Mathematical Foundation for Unified Physics (Projection Theory) Paper 4 — Generative Architecture: Toward a Unified Field Equation (Threshold Eye Theory) Paper 5 — Generative Architecture: Big Bang & Mysteries Before and After T₀ (Genesis Theory) Paper 6 — Generative Architecture: Dual Propagation Mechanism in the Triad Unified Fields (Broadcast Theory) Paper 7 — Generative Architecture: Unified Model of Mass and Curvature (Einston Theory) Paper 8 — Generative Architecture: Origin of Everything (Symmetry Theory) Paper 9 — Generative Architecture: Micro-Dynamics and the Collapse Mechanism in the Triad Unified Fields (Collapse Theory) Paper 10 — Generative Architecture: Macro-Level Dynamics in the Triad Unified Fields Paper 11 — Generative Architecture: Non-Projectable Sector and Emergence of the Third Fundamental Object in the Photon–Einston–Teslon Triad (Teslon Theory) Paper 12 — Generative Architecture: The Origin of Generativity Paper 13 — Generative Architecture: The Grammar of GA (Unigene Theory) Paper 14 — Generative Architecture: What is Identity (Identity Theory) Paper 15 — Generative Architecture: Foundation of Geometry (Probability Manifold Theory) Paper 16 — Generative Architecture: Matter, Image-Matter, Mirror (Reflection Theory) Paper 17 — Generative Architecture: Density Regimes and Core Saturation Paper 18 — Generative Architecture: Physical Dimensions and Emergence of Novel Dynamics in Early Genesis Paper 19 — Generative Architecture: Antimatter as Orientation-Inversion of Matter Paper 20 — Generative Architecture: Black Hole Paper 21 — Generative Architecture: Dark Matter and Dark Energy Paper 22 — Generative Kernel: 6-Layer Architecture Paper 23 — Generative Kernel: Meta-Generative Integration (MGI) Layer Paper 24 — Generative Kernel: Formative Operator for Structural Preparation (DaVinchine Operator) Paper 25 — Generative Kernel: Kernel as Execution Boundary Paper 26 — Generative Kernel: Kernel State Machine (KSM) as An Execution Model for Kernel Dynamics Paper 27 — Generative Quantum: Introduction Paper 28 — Generative Quantum: Measurement as A Quasi-Continuous Restriction Process Paper 29 — Generative Quantum: Measurement Derivational Chain Paper 30 — Generative Planck: Planck as An Activation Boundary Paper 31 — Generative Planck: Degrees of Freedom as Kernel-Level Transition Structures Paper 32 — Generative Planck: Curvature Inversion No-Go Theorem Paper 33 — Generative Planck: Physical Constants as Execution Boundaries Paper 34 — Generative Law: Axiom of Law for Emergence of Stable Laws Paper 35 — Generative Law: Execution Guard Layers and Architecture of Physical Law Paper 36 — Generative Law: Law as an Admissibility Boundary Paper 37 — Generative Law: Nature of Time Paper 38 — Generative Law: Vertical Law Formation Paper 39 — Generative Law: Law Dominance, Interrupt and Quantum Measurement Paper 40 — Generative Law: Quantum Problems Paper 41 — Generative Law: Quantum Entanglement as Minimal Law Engineering Paper 42 — Generative Law: Limits of Entanglement Scalability Paper 43 — Generative Law: Quantum Decoherence as Law Leakage Paper 44 — Generative Law: Quantum Contextuality as Law Routing Paper 45 — Generative Law: Quantum Control as Law Engineering
This paper develops a relational framework that reinterprets quantum mechanics as the behavior of a continuous generative field governed by the propagation and resolution of orientation under constraint. In this account, superposition reflects unresolved constraint geometry, collapse arises when constraint stabilizes and forces coherence to resolve, tunneling emerges from the propagation of constrained orientation through regions of elevated constraint density, and entanglement results from shared constraint boundaries that enforce joint coherence resolution across separation. Probability is reframed as coherence‑weighting across unresolved resolution paths, and the classical limit appears when constraint geometry becomes sufficiently stable to produce deterministic updates. The wavefunction is interpreted as a mathematical encoding of coherence across constraint geometry rather than a physical object or epistemic state. This unified mechanism dissolves the conceptual divides between classical, quantum, electromagnetic, and energetic behavior, situating all physical phenomena within a single operator framework grounded in the continuous structure of the relational field. The result is a coherent, mechanism‑level redefinition of quantum mechanics that integrates its core phenomena without invoking discontinuities, intrinsic randomness, or dual ontologies.