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Admissibility Constraints and Non-Realizable Routes in Superluminal Localization Theory (SLT)

Jorge Vasconcelos

Published Feb 5, 2026• 0 citations
Publisher

Abstract

DESCRIPTION: This document establishes a formal admissibility framework for Superluminal Localization Theory (SLT). It defines which classes of theoretical routes, interpretations, and implementation attempts are structurally compatible with SLT, and which are non-realizable by definition. It is intentionally non-enabling and provides constraints, boundary conditions, and invalid falsification conditions without disclosing mathematics, algorithms, parameters, thresholds, experimental designs, or engineering procedures. It includes a clarification that SLT is falsifiable in principle while remaining non-operational in disclosure. NOTES: Non-enabling companion prior-art disclosure defining admissibility constraints and non-realizable routes. No equations, parameter values, algorithms, simulation methods, experimental setups, or engineering architectures are provided. Any implementation, derivative system, or commercial exploitation of SLT or SLT-compatible frameworks requires explicit authorization by the author. RELATED IDENTIFIERS: This publication is simultaneously its own independent publication/DOI and an integral part of the following collection: https://zenodo.org/records/18493402https://zenodo.org/records/18493510https://zenodo.org/records/18520031https://zenodo.org/records/18527207https://zenodo.org/records/18528364

DOI
10.5281/zenodo.18493509

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Approval-Level Scientific Acceptance of Superluminal Localization Theory under the Geometric Causal Intelligence Protocol

Jorge Vasconcelos

DESCRIPTION (ABSTRACT) Superluminal Localization Theory (SLT) proposes a deterministic framework governing the localization and decay of nonlocal correlations across quantum, collider-scale, and astrophysical regimes. This work establishes that SLT satisfies the criteria for approval-level scientific acceptance under the Geometric Causal Intelligence Protocol (GCIP). Acceptance is defined procedurally, not as terminal empirical proof, but as authorization for experimental prioritization and programmatic adoption pending direct measurement. The evaluation is based on a three-pillar falsification framework spanning independent physical domains: long-baseline Bell-correlation decorrelation, collider-scale echo phenomena, and pulsar timing residual coherence. Two pillars operate using fully public datasets and replayable analysis pipelines. The Bell-decorrelation pillar operates under a curated data-admissibility regime due to known adversarial and preprocessing sensitivities, and is supplemented by a cryptographic commitment scheme to ensure procedural integrity without intellectual property disclosure. This document consolidates explicit falsification boundaries, acceptance logic, auditability conditions, and intellectual property safeguards. It does not redefine or extend SLT, but serves as a procedural acceptance supplement to the original SLT prior-art record. Under GCIP, SLT is found to be structurally complete, explicitly falsifiable, adversarially robust, and not dominated by any superior admissible alternative across collider-scale, astrophysical, and long-baseline quantum regimes. RELATED IDENTIFIERS: This publication is simultaneously its own independent publication/DOI and an integral part of the following collection: https://zenodo.org/records/18493402https://zenodo.org/records/18493510https://zenodo.org/records/18520031https://zenodo.org/records/18527207https://zenodo.org/records/18528364

•Feb 7, 2026•0 citations

A Structural Theory of Admissibility

Byeong-Young OH

This paper proposes a structural framework in which physical laws and quantum probability emerge from a common admissibility principle, rather than from the unification of dynamical equations.No new forces, fields, particles, or dynamical laws are introduced.Instead, a universal structural constraint governing which states are admissible as physically realizable is identified. Building on results established in Admissibility Frameworks I and II, the existence of a universal frame constant limiting allowable transitions is taken as a starting point.From this principle, an equation of existence is formulated, which does not describe time evolution but instead delineates the boundary between admissible and non-admissible states.Different physical interactions are shown to correspond to distinct structural interpretations of the same admissibility condition. Within this framework, quantum states are interpreted not as probability amplitudes but as admissibility distributions.Measurement is described as structural filtering at the admissibility boundary, rather than as a dynamical collapse process.Under minimal and physically natural assumptions—phase invariance, orthogonal additivity, and locality—the admissibility measure is shown to be uniquely quadratic, yielding the Born rule as a structural consequence rather than a postulate. The resulting theory reframes unification as the closure of existence conditions shared by all physical theories.Dynamics remain domain-specific, but admissibility is universal.In this sense, unification is achieved not by combining forces, but by identifying the single structural condition under which any physical state may exist. AI Usage Declaration: The core concepts and mathematical intuitions of this paper were conceived by the author (Byeong-Young Oh). The technical formalization of the mathematical framework and the English drafting process were performed in collaboration with Artificial Intelligence (AI) models. The author takes full responsibility for the contents and logical integrity of this work. This work is part of an ongoing independent research program. Official research index :https://jingyu-papa.github.io/publications/

•Feb 2, 2026•0 citations

State Locality Theory 2 — Part III: Phenomenology. Numerical Compatibility, Manifestation Parameter, and Gravitationally Enhanced Decoherence

Mikhail Bespoyasov

Part III completes the three-layer architecture of State Locality Theory 2 (SLT-2) by providing a phenomenological framework that translates the structural ontology and effective dynamics of SLT-2 into concrete, experimentally testable predictions. No new free parameters are introduced beyond the localization constant α inherited from SLT-1. The document formulates an operational protocol for applying SLT-2 to real systems, constructs a regime map in mass–path-separation parameter space, derives quantitative visibility predictions for molecular interferometry, nanoparticle interferometry, and superconducting systems, and specifies falsifiability criteria. SLT-2 predicts gravitationally enhanced decoherence in the 10⁵–10⁶ amu range (ΔV ∼ 0.5–5%), suppressed sensitivity in superconducting phases, a pressure-independent visibility plateau in ultrahigh vacuum, and full coherence of neutrinos over astronomical baselines. The structural mass hierarchy is discussed honestly as a scale of node complexity, not a mass formula.

•Jun 5, 2026•0 citations

Admissibility Forces the QSOT Axioms: A Closure-Based Extension of Multipartite Quantum States Over Time

Jeremy Rodgers

This paper provides a structural extension of the recent QSOT framework for multipartite quantum states evolving over time.We show that the axioms introduced in the original QSOT formulation are not merely sufficient assumptions, but are in fact forced by a general admissibility principle based on closure, persistence, and consistency under allowed transformations.Using a closure-based analysis, we demonstrate that any temporally extended quantum state description that remains stable under admissible operations must satisfy the QSOT axioms. In this sense, the QSOT framework is shown to be structurally inevitable rather than model-dependent.The result strengthens the conceptual foundations of QSOT by removing arbitrariness in the choice of axioms and situating them within a broader law-level admissibility structure. No modification of the original QSOT formalism is required; instead, its necessity is derived from general structural constraints.This work is intended as a complementary extension to the original QSOT paper, clarifying why its axioms arise naturally and providing additional motivation for their adoption in the study of multipartite quantum systems evolving over time.The closure principle employed here is compatible with a more general admissibility framework developed in the author’s prior work, but the present results stand independently of any such broader formalism. https://doi.org/10.5281/zenodo.18205246

•Jan 1, 2026•0 citations

Part I A Structural Closure of Physical Description

Ethan Brooke

This paper introduces a constraint-first framework for physical law based on a single structural requirement: that distinctions and correlations be enforceable without contradiction under finite capacity. Rather than proposing new dynamics, entities, or microscopic mechanisms, the work reframes foundational questions in physics by asking a prior question—under what conditions is physical description itself possible? Central to the framework is the recognition that correlation enforcement cannot be unlimited. From this finiteness follows a notion of admissibility, separating correlation structures that can be jointly realized from those that are structurally incoherent, independent of probability or dynamics. Geometry, time, entropy, and global state descriptions are treated not as universal primitives, but as regime-dependent representations that emerge when enforcement constraints can be smoothly distributed—and fail when they cannot. Within this perspective, long-standing foundational puzzles—such as the arrow of time, entropy bounds, horizon paradoxes, and the breakdown of global descriptions—are reinterpreted as signals of regime mismatch rather than failures of physical law. Apparent paradoxes arise when descriptive tools are extrapolated beyond the regimes in which their enforcement is possible. The paper is deliberately pre-dynamical. It does not modify quantum mechanics or general relativity, nor does it derive specific equations or predictions. Its contribution is structural: to articulate the minimal conditions that any coherent physical description must satisfy, and to clarify why familiar physical structures appear where they do, persist where they can, and fail where they must. This work serves as the conceptual foundation for a companion technical paper that formalizes admissibility and finite correlation capacity as a calculus. Together, the papers aim to delineate the boundary between meaningful physical description and questions that cannot be consistently posed. About the series. Admissibility Physics derives the Standard Model gauge group, fermion content, quantum formalism, Lorentzian spacetime, the Einstein field equations, the cosmological constant, and the neutrino, strong-CP, and dark sectors from a single assumption — that enforcement is finite at every causally connected region — with zero free parameters. The core derivation runs Papers 0–11; the extension papers carry the individual sectors. Each paper's main text and Technical Supplement is deposited separately, and every quantitative claim traces to a named, executable check in the public theorem bank (over 3,800 bank-registered theorems across roughly 450 modules, 48 quantitative predictions). Website: admissibilityphysics.com. Engine and theorem bank: https://github.com/Ethan-Brooke/APF-Engine. Full series and latest deposits: Zenodo community admissibility_physics. The Engine — Admissibility Physics: An Executable Constraint Framework and Constants Map — DOI 10.5281/zenodo.18529115. Paper 0 — What Physics Permits: A Constraint-First Framework for Physics — DOI 10.5281/zenodo.18439523 Paper 1 — The Enforceability of Distinction — DOI 10.5281/zenodo.18439200 Paper 2 — Finite Admissibility and the Failure of Global Description — DOI 10.5281/zenodo.18439274 Paper 3 — Entropy, Time, and Accumulated Cost — DOI 10.5281/zenodo.18439363 Paper 4 — Admissibility Constraints and Structural Saturation — DOI 10.5281/zenodo.18439397 Paper 5 — Quantum Structure from Finite Enforceability — DOI 10.5281/zenodo.18439433 Paper 6 — Dynamics and Geometry as Optimal Admissible Reallocation — DOI 10.5281/zenodo.18439445 Paper 7 — A Minimal Quantum of Action from Finite Admissibility — DOI 10.5281/zenodo.18439513 Paper 8 — The Admissibility-Capacity Ledger — DOI 10.5281/zenodo.19721384 Paper 9 — The Geometric Substrate as Cost Structure of Comparison Continuations — DOI 10.5281/zenodo.20041675 Paper 10 — The Calculus of Finite Continuability — DOI 10.5281/zenodo.20041680 Paper 11 — Forced Universality from Capacity-Bounded Admissibility — DOI 10.5281/zenodo.20684198 Paper 13 — The Minimal Admissibility Core — DOI 10.5281/zenodo.18361446 Paper 16 — Markov Breakdown and the Hard Problems — DOI 10.5281/zenodo.20684207 Paper 18 — The Electroweak Sector as a Capacity Equilibrium — DOI 10.5281/zenodo.20684209 Paper 20 — The Enforcement Crystal — DOI 10.5281/zenodo.18531732 Paper 24 — The Recruitment-Radius Extension — Foundations — DOI 10.5281/zenodo.20684211 Paper 28 — Absolute Mass Scales from Electroweak Capacity Saturation — DOI 10.5281/zenodo.20684215 Paper 29 — Plaquette Representation Dominance and Confinement — DOI 10.5281/zenodo.20684218 Paper 30 — A Tube Mechanism for the Lattice Mass Gap — DOI 10.5281/zenodo.20684220 Paper 31 — Osterwalder–Schrader Structure of Lattice Yang–Mills — DOI 10.5281/zenodo.20684222 Paper 33 — Trace-to-Scheme Export Architecture — DOI 10.5281/zenodo.20684224 Paper 35 — The Dark Sector as a Two-Role Capacity Decomposition — DOI 10.5281/zenodo.20684228 Paper 40 — The Thermodynamics of Finite Distinction (Between Symmetry and the Void) — DOI 10.5281/zenodo.20684235 Paper 41 — The Horizon as a Continuation Ledger — DOI 10.5281/zenodo.20684241 Paper 42 — The Weak Mixing Angle Is Not Free — DOI 10.5281/zenodo.20684245 Paper 43 — The Neutrino Sector — DOI 10.5281/zenodo.21194191 Paper 44 — What a Finite Theory Owes the Continuum — DOI 10.5281/zenodo.21195874 Paper 45 — What the Vacuum Can Keep — DOI 10.5281/zenodo.21194195 Paper 46 — The Strong CP Angle Is Not Free — DOI 10.5281/zenodo.21194197 Paper 47 — The Confinement Antecedent Is Not Forced — DOI 10.5281/zenodo.21194199 Technical Supplements cross-link to their main paper via isSupplementTo and to the engine via isDocumentedBy. Concept DOIs above resolve to the latest version. Author. Ethan Brooke, Independent Researcher, San Anselmo, California, USA. ORCID: 0009-0001-2261-4682 LinkedIn: linkedin.com/in/ethanbrooke GitHub: github.com/Ethan-Brooke Contact: brooke.ethan@gmail.com

•Jan 10, 2026•0 citations

Part II A Calculus of Admissible Correlation

Ethan Brooke

Description This paper develops a formal calculus of admissible correlation, providing the technical backbone for a constraint-first approach to physical description. Building on a conceptual framework in which enforceability and finite correlation capacity are taken as primitive structural requirements, the present work makes these notions explicit, operational, and compositional. Correlations are treated as primitive relational constraints enforced across interfaces endowed with finite capacity. Admissibility is defined as joint enforceability under these capacity limits and is shown to be inherently non-closed under composition. Correlation capacity is formalized as a finite, interface-localized resource whose saturation and redistribution determine which correlation sets can coherently exist. This yields a precise, pre-dynamical criterion for physical feasibility that precedes probability, stability, and dynamical law. Within this calculus, regime transitions arise when admissible correlation sets change due to capacity reallocation rather than dynamical evolution. The ordered loss of descriptive structures—global states, subsystem factorization, metric geometry, and time itself—is characterized as a consequence of finite enforceability rather than as a breakdown of physical law. Geometry emerges as an efficient representation of coordination cost where capacity gradients are smooth, while entropy is identified with interface capacity governing record formation and exclusion. The calculus introduces no new dynamics, modifies no existing physical theories, and commits to no microscopic ontology. Its role is structural: to delineate the kinematic envelope within which any coherent physical dynamics must operate. Quantum mechanics and general relativity are shown to function as admissibility-preserving frameworks within the regimes where their descriptive assumptions remain enforceable. This work is intended to stand alone as a technical contribution while serving, together with its companion foundational paper, to clarify the limits of physical description and the conditions under which familiar physical structures emerge, persist, and fail. About the series. Admissibility Physics derives the Standard Model gauge group, fermion content, quantum formalism, Lorentzian spacetime, the Einstein field equations, the cosmological constant, and the neutrino, strong-CP, and dark sectors from a single assumption — that enforcement is finite at every causally connected region — with zero free parameters. The core derivation runs Papers 0–11; the extension papers carry the individual sectors. Each paper's main text and Technical Supplement is deposited separately, and every quantitative claim traces to a named, executable check in the public theorem bank (over 3,800 bank-registered theorems across roughly 450 modules, 48 quantitative predictions). Website: admissibilityphysics.com. Engine and theorem bank: https://github.com/Ethan-Brooke/APF-Engine. Full series and latest deposits: Zenodo community admissibility_physics. The Engine — Admissibility Physics: An Executable Constraint Framework and Constants Map — DOI 10.5281/zenodo.18529115. Paper 0 — What Physics Permits: A Constraint-First Framework for Physics — DOI 10.5281/zenodo.18439523 Paper 1 — The Enforceability of Distinction — DOI 10.5281/zenodo.18439200 Paper 2 — Finite Admissibility and the Failure of Global Description — DOI 10.5281/zenodo.18439274 Paper 3 — Entropy, Time, and Accumulated Cost — DOI 10.5281/zenodo.18439363 Paper 4 — Admissibility Constraints and Structural Saturation — DOI 10.5281/zenodo.18439397 Paper 5 — Quantum Structure from Finite Enforceability — DOI 10.5281/zenodo.18439433 Paper 6 — Dynamics and Geometry as Optimal Admissible Reallocation — DOI 10.5281/zenodo.18439445 Paper 7 — A Minimal Quantum of Action from Finite Admissibility — DOI 10.5281/zenodo.18439513 Paper 8 — The Admissibility-Capacity Ledger — DOI 10.5281/zenodo.19721384 Paper 9 — The Geometric Substrate as Cost Structure of Comparison Continuations — DOI 10.5281/zenodo.20041675 Paper 10 — The Calculus of Finite Continuability — DOI 10.5281/zenodo.20041680 Paper 11 — Forced Universality from Capacity-Bounded Admissibility — DOI 10.5281/zenodo.20684198 Paper 13 — The Minimal Admissibility Core — DOI 10.5281/zenodo.18361446 Paper 16 — Markov Breakdown and the Hard Problems — DOI 10.5281/zenodo.20684207 Paper 18 — The Electroweak Sector as a Capacity Equilibrium — DOI 10.5281/zenodo.20684209 Paper 20 — The Enforcement Crystal — DOI 10.5281/zenodo.18531732 Paper 24 — The Recruitment-Radius Extension — Foundations — DOI 10.5281/zenodo.20684211 Paper 28 — Absolute Mass Scales from Electroweak Capacity Saturation — DOI 10.5281/zenodo.20684215 Paper 29 — Plaquette Representation Dominance and Confinement — DOI 10.5281/zenodo.20684218 Paper 30 — A Tube Mechanism for the Lattice Mass Gap — DOI 10.5281/zenodo.20684220 Paper 31 — Osterwalder–Schrader Structure of Lattice Yang–Mills — DOI 10.5281/zenodo.20684222 Paper 33 — Trace-to-Scheme Export Architecture — DOI 10.5281/zenodo.20684224 Paper 35 — The Dark Sector as a Two-Role Capacity Decomposition — DOI 10.5281/zenodo.20684228 Paper 40 — The Thermodynamics of Finite Distinction (Between Symmetry and the Void) — DOI 10.5281/zenodo.20684235 Paper 41 — The Horizon as a Continuation Ledger — DOI 10.5281/zenodo.20684241 Paper 42 — The Weak Mixing Angle Is Not Free — DOI 10.5281/zenodo.20684245 Paper 43 — The Neutrino Sector — DOI 10.5281/zenodo.21194191 Paper 44 — What a Finite Theory Owes the Continuum — DOI 10.5281/zenodo.21195874 Paper 45 — What the Vacuum Can Keep — DOI 10.5281/zenodo.21194195 Paper 46 — The Strong CP Angle Is Not Free — DOI 10.5281/zenodo.21194197 Paper 47 — The Confinement Antecedent Is Not Forced — DOI 10.5281/zenodo.21194199 Technical Supplements cross-link to their main paper via isSupplementTo and to the engine via isDocumentedBy. Concept DOIs above resolve to the latest version. Author. Ethan Brooke, Independent Researcher, San Anselmo, California, USA. ORCID: 0009-0001-2261-4682 LinkedIn: linkedin.com/in/ethanbrooke GitHub: github.com/Ethan-Brooke Contact: brooke.ethan@gmail.com

•Jan 10, 2026•0 citations
DESCRIPTION: This document establishes a formal admissibility framework for Superluminal Localization Theory (SLT). It defines which classes of theoretical routes, interpretations, and implementation attempts are structurally compatible with SLT, and which are non-realizable by definition. It is intentionally non-enabling and provides constraints, boundary conditions, and invalid falsification conditions without disclosing mathematics, algorithms, parameters, thresholds, experimental designs, or engineering procedures. It includes a clarification that SLT is falsifiable in principle while remaining non-operational in disclosure. NOTES: Non-enabling companion prior-art disclosure defining admissibility constraints and non-realizable routes. No equations, parameter values, algorithms, simulation methods, experimental setups, or engineering architectures are provided. Any implementation, derivative system, or commercial exploitation of SLT or SLT-compatible frameworks requires explicit authorization by the author. RELATED IDENTIFIERS: This publication is simultaneously its own independent publication/DOI and an integral part of the following collection: https://zenodo.org/records/18493402https://zenodo.org/records/18493510https://zenodo.org/records/18520031https://zenodo.org/records/18527207https://zenodo.org/records/18528364
DESCRIPTION (ABSTRACT) Superluminal Localization Theory (SLT) proposes a deterministic framework governing the localization and decay of nonlocal correlations across quantum, collider-scale, and astrophysical regimes. This work establishes that SLT satisfies the criteria for approval-level scientific acceptance under the Geometric Causal Intelligence Protocol (GCIP). Acceptance is defined procedurally, not as terminal empirical proof, but as authorization for experimental prioritization and programmatic adoption pending direct measurement. The evaluation is based on a three-pillar falsification framework spanning independent physical domains: long-baseline Bell-correlation decorrelation, collider-scale echo phenomena, and pulsar timing residual coherence. Two pillars operate using fully public datasets and replayable analysis pipelines. The Bell-decorrelation pillar operates under a curated data-admissibility regime due to known adversarial and preprocessing sensitivities, and is supplemented by a cryptographic commitment scheme to ensure procedural integrity without intellectual property disclosure. This document consolidates explicit falsification boundaries, acceptance logic, auditability conditions, and intellectual property safeguards. It does not redefine or extend SLT, but serves as a procedural acceptance supplement to the original SLT prior-art record. Under GCIP, SLT is found to be structurally complete, explicitly falsifiable, adversarially robust, and not dominated by any superior admissible alternative across collider-scale, astrophysical, and long-baseline quantum regimes. RELATED IDENTIFIERS: This publication is simultaneously its own independent publication/DOI and an integral part of the following collection: https://zenodo.org/records/18493402https://zenodo.org/records/18493510https://zenodo.org/records/18520031https://zenodo.org/records/18527207https://zenodo.org/records/18528364
This paper proposes a structural framework in which physical laws and quantum probability emerge from a common admissibility principle, rather than from the unification of dynamical equations.No new forces, fields, particles, or dynamical laws are introduced.Instead, a universal structural constraint governing which states are admissible as physically realizable is identified. Building on results established in Admissibility Frameworks I and II, the existence of a universal frame constant limiting allowable transitions is taken as a starting point.From this principle, an equation of existence is formulated, which does not describe time evolution but instead delineates the boundary between admissible and non-admissible states.Different physical interactions are shown to correspond to distinct structural interpretations of the same admissibility condition. Within this framework, quantum states are interpreted not as probability amplitudes but as admissibility distributions.Measurement is described as structural filtering at the admissibility boundary, rather than as a dynamical collapse process.Under minimal and physically natural assumptions—phase invariance, orthogonal additivity, and locality—the admissibility measure is shown to be uniquely quadratic, yielding the Born rule as a structural consequence rather than a postulate. The resulting theory reframes unification as the closure of existence conditions shared by all physical theories.Dynamics remain domain-specific, but admissibility is universal.In this sense, unification is achieved not by combining forces, but by identifying the single structural condition under which any physical state may exist. AI Usage Declaration: The core concepts and mathematical intuitions of this paper were conceived by the author (Byeong-Young Oh). The technical formalization of the mathematical framework and the English drafting process were performed in collaboration with Artificial Intelligence (AI) models. The author takes full responsibility for the contents and logical integrity of this work. This work is part of an ongoing independent research program. Official research index :https://jingyu-papa.github.io/publications/
Part III completes the three-layer architecture of State Locality Theory 2 (SLT-2) by providing a phenomenological framework that translates the structural ontology and effective dynamics of SLT-2 into concrete, experimentally testable predictions. No new free parameters are introduced beyond the localization constant α inherited from SLT-1. The document formulates an operational protocol for applying SLT-2 to real systems, constructs a regime map in mass–path-separation parameter space, derives quantitative visibility predictions for molecular interferometry, nanoparticle interferometry, and superconducting systems, and specifies falsifiability criteria. SLT-2 predicts gravitationally enhanced decoherence in the 10⁵–10⁶ amu range (ΔV ∼ 0.5–5%), suppressed sensitivity in superconducting phases, a pressure-independent visibility plateau in ultrahigh vacuum, and full coherence of neutrinos over astronomical baselines. The structural mass hierarchy is discussed honestly as a scale of node complexity, not a mass formula.
This paper provides a structural extension of the recent QSOT framework for multipartite quantum states evolving over time.We show that the axioms introduced in the original QSOT formulation are not merely sufficient assumptions, but are in fact forced by a general admissibility principle based on closure, persistence, and consistency under allowed transformations.Using a closure-based analysis, we demonstrate that any temporally extended quantum state description that remains stable under admissible operations must satisfy the QSOT axioms. In this sense, the QSOT framework is shown to be structurally inevitable rather than model-dependent.The result strengthens the conceptual foundations of QSOT by removing arbitrariness in the choice of axioms and situating them within a broader law-level admissibility structure. No modification of the original QSOT formalism is required; instead, its necessity is derived from general structural constraints.This work is intended as a complementary extension to the original QSOT paper, clarifying why its axioms arise naturally and providing additional motivation for their adoption in the study of multipartite quantum systems evolving over time.The closure principle employed here is compatible with a more general admissibility framework developed in the author’s prior work, but the present results stand independently of any such broader formalism. https://doi.org/10.5281/zenodo.18205246
This paper introduces a constraint-first framework for physical law based on a single structural requirement: that distinctions and correlations be enforceable without contradiction under finite capacity. Rather than proposing new dynamics, entities, or microscopic mechanisms, the work reframes foundational questions in physics by asking a prior question—under what conditions is physical description itself possible? Central to the framework is the recognition that correlation enforcement cannot be unlimited. From this finiteness follows a notion of admissibility, separating correlation structures that can be jointly realized from those that are structurally incoherent, independent of probability or dynamics. Geometry, time, entropy, and global state descriptions are treated not as universal primitives, but as regime-dependent representations that emerge when enforcement constraints can be smoothly distributed—and fail when they cannot. Within this perspective, long-standing foundational puzzles—such as the arrow of time, entropy bounds, horizon paradoxes, and the breakdown of global descriptions—are reinterpreted as signals of regime mismatch rather than failures of physical law. Apparent paradoxes arise when descriptive tools are extrapolated beyond the regimes in which their enforcement is possible. The paper is deliberately pre-dynamical. It does not modify quantum mechanics or general relativity, nor does it derive specific equations or predictions. Its contribution is structural: to articulate the minimal conditions that any coherent physical description must satisfy, and to clarify why familiar physical structures appear where they do, persist where they can, and fail where they must. This work serves as the conceptual foundation for a companion technical paper that formalizes admissibility and finite correlation capacity as a calculus. Together, the papers aim to delineate the boundary between meaningful physical description and questions that cannot be consistently posed. About the series. Admissibility Physics derives the Standard Model gauge group, fermion content, quantum formalism, Lorentzian spacetime, the Einstein field equations, the cosmological constant, and the neutrino, strong-CP, and dark sectors from a single assumption — that enforcement is finite at every causally connected region — with zero free parameters. The core derivation runs Papers 0–11; the extension papers carry the individual sectors. Each paper's main text and Technical Supplement is deposited separately, and every quantitative claim traces to a named, executable check in the public theorem bank (over 3,800 bank-registered theorems across roughly 450 modules, 48 quantitative predictions). Website: admissibilityphysics.com. Engine and theorem bank: https://github.com/Ethan-Brooke/APF-Engine. Full series and latest deposits: Zenodo community admissibility_physics. The Engine — Admissibility Physics: An Executable Constraint Framework and Constants Map — DOI 10.5281/zenodo.18529115. Paper 0 — What Physics Permits: A Constraint-First Framework for Physics — DOI 10.5281/zenodo.18439523 Paper 1 — The Enforceability of Distinction — DOI 10.5281/zenodo.18439200 Paper 2 — Finite Admissibility and the Failure of Global Description — DOI 10.5281/zenodo.18439274 Paper 3 — Entropy, Time, and Accumulated Cost — DOI 10.5281/zenodo.18439363 Paper 4 — Admissibility Constraints and Structural Saturation — DOI 10.5281/zenodo.18439397 Paper 5 — Quantum Structure from Finite Enforceability — DOI 10.5281/zenodo.18439433 Paper 6 — Dynamics and Geometry as Optimal Admissible Reallocation — DOI 10.5281/zenodo.18439445 Paper 7 — A Minimal Quantum of Action from Finite Admissibility — DOI 10.5281/zenodo.18439513 Paper 8 — The Admissibility-Capacity Ledger — DOI 10.5281/zenodo.19721384 Paper 9 — The Geometric Substrate as Cost Structure of Comparison Continuations — DOI 10.5281/zenodo.20041675 Paper 10 — The Calculus of Finite Continuability — DOI 10.5281/zenodo.20041680 Paper 11 — Forced Universality from Capacity-Bounded Admissibility — DOI 10.5281/zenodo.20684198 Paper 13 — The Minimal Admissibility Core — DOI 10.5281/zenodo.18361446 Paper 16 — Markov Breakdown and the Hard Problems — DOI 10.5281/zenodo.20684207 Paper 18 — The Electroweak Sector as a Capacity Equilibrium — DOI 10.5281/zenodo.20684209 Paper 20 — The Enforcement Crystal — DOI 10.5281/zenodo.18531732 Paper 24 — The Recruitment-Radius Extension — Foundations — DOI 10.5281/zenodo.20684211 Paper 28 — Absolute Mass Scales from Electroweak Capacity Saturation — DOI 10.5281/zenodo.20684215 Paper 29 — Plaquette Representation Dominance and Confinement — DOI 10.5281/zenodo.20684218 Paper 30 — A Tube Mechanism for the Lattice Mass Gap — DOI 10.5281/zenodo.20684220 Paper 31 — Osterwalder–Schrader Structure of Lattice Yang–Mills — DOI 10.5281/zenodo.20684222 Paper 33 — Trace-to-Scheme Export Architecture — DOI 10.5281/zenodo.20684224 Paper 35 — The Dark Sector as a Two-Role Capacity Decomposition — DOI 10.5281/zenodo.20684228 Paper 40 — The Thermodynamics of Finite Distinction (Between Symmetry and the Void) — DOI 10.5281/zenodo.20684235 Paper 41 — The Horizon as a Continuation Ledger — DOI 10.5281/zenodo.20684241 Paper 42 — The Weak Mixing Angle Is Not Free — DOI 10.5281/zenodo.20684245 Paper 43 — The Neutrino Sector — DOI 10.5281/zenodo.21194191 Paper 44 — What a Finite Theory Owes the Continuum — DOI 10.5281/zenodo.21195874 Paper 45 — What the Vacuum Can Keep — DOI 10.5281/zenodo.21194195 Paper 46 — The Strong CP Angle Is Not Free — DOI 10.5281/zenodo.21194197 Paper 47 — The Confinement Antecedent Is Not Forced — DOI 10.5281/zenodo.21194199 Technical Supplements cross-link to their main paper via isSupplementTo and to the engine via isDocumentedBy. Concept DOIs above resolve to the latest version. Author. Ethan Brooke, Independent Researcher, San Anselmo, California, USA. ORCID: 0009-0001-2261-4682 LinkedIn: linkedin.com/in/ethanbrooke GitHub: github.com/Ethan-Brooke Contact: brooke.ethan@gmail.com
Description This paper develops a formal calculus of admissible correlation, providing the technical backbone for a constraint-first approach to physical description. Building on a conceptual framework in which enforceability and finite correlation capacity are taken as primitive structural requirements, the present work makes these notions explicit, operational, and compositional. Correlations are treated as primitive relational constraints enforced across interfaces endowed with finite capacity. Admissibility is defined as joint enforceability under these capacity limits and is shown to be inherently non-closed under composition. Correlation capacity is formalized as a finite, interface-localized resource whose saturation and redistribution determine which correlation sets can coherently exist. This yields a precise, pre-dynamical criterion for physical feasibility that precedes probability, stability, and dynamical law. Within this calculus, regime transitions arise when admissible correlation sets change due to capacity reallocation rather than dynamical evolution. The ordered loss of descriptive structures—global states, subsystem factorization, metric geometry, and time itself—is characterized as a consequence of finite enforceability rather than as a breakdown of physical law. Geometry emerges as an efficient representation of coordination cost where capacity gradients are smooth, while entropy is identified with interface capacity governing record formation and exclusion. The calculus introduces no new dynamics, modifies no existing physical theories, and commits to no microscopic ontology. Its role is structural: to delineate the kinematic envelope within which any coherent physical dynamics must operate. Quantum mechanics and general relativity are shown to function as admissibility-preserving frameworks within the regimes where their descriptive assumptions remain enforceable. This work is intended to stand alone as a technical contribution while serving, together with its companion foundational paper, to clarify the limits of physical description and the conditions under which familiar physical structures emerge, persist, and fail. About the series. Admissibility Physics derives the Standard Model gauge group, fermion content, quantum formalism, Lorentzian spacetime, the Einstein field equations, the cosmological constant, and the neutrino, strong-CP, and dark sectors from a single assumption — that enforcement is finite at every causally connected region — with zero free parameters. The core derivation runs Papers 0–11; the extension papers carry the individual sectors. Each paper's main text and Technical Supplement is deposited separately, and every quantitative claim traces to a named, executable check in the public theorem bank (over 3,800 bank-registered theorems across roughly 450 modules, 48 quantitative predictions). Website: admissibilityphysics.com. Engine and theorem bank: https://github.com/Ethan-Brooke/APF-Engine. Full series and latest deposits: Zenodo community admissibility_physics. The Engine — Admissibility Physics: An Executable Constraint Framework and Constants Map — DOI 10.5281/zenodo.18529115. Paper 0 — What Physics Permits: A Constraint-First Framework for Physics — DOI 10.5281/zenodo.18439523 Paper 1 — The Enforceability of Distinction — DOI 10.5281/zenodo.18439200 Paper 2 — Finite Admissibility and the Failure of Global Description — DOI 10.5281/zenodo.18439274 Paper 3 — Entropy, Time, and Accumulated Cost — DOI 10.5281/zenodo.18439363 Paper 4 — Admissibility Constraints and Structural Saturation — DOI 10.5281/zenodo.18439397 Paper 5 — Quantum Structure from Finite Enforceability — DOI 10.5281/zenodo.18439433 Paper 6 — Dynamics and Geometry as Optimal Admissible Reallocation — DOI 10.5281/zenodo.18439445 Paper 7 — A Minimal Quantum of Action from Finite Admissibility — DOI 10.5281/zenodo.18439513 Paper 8 — The Admissibility-Capacity Ledger — DOI 10.5281/zenodo.19721384 Paper 9 — The Geometric Substrate as Cost Structure of Comparison Continuations — DOI 10.5281/zenodo.20041675 Paper 10 — The Calculus of Finite Continuability — DOI 10.5281/zenodo.20041680 Paper 11 — Forced Universality from Capacity-Bounded Admissibility — DOI 10.5281/zenodo.20684198 Paper 13 — The Minimal Admissibility Core — DOI 10.5281/zenodo.18361446 Paper 16 — Markov Breakdown and the Hard Problems — DOI 10.5281/zenodo.20684207 Paper 18 — The Electroweak Sector as a Capacity Equilibrium — DOI 10.5281/zenodo.20684209 Paper 20 — The Enforcement Crystal — DOI 10.5281/zenodo.18531732 Paper 24 — The Recruitment-Radius Extension — Foundations — DOI 10.5281/zenodo.20684211 Paper 28 — Absolute Mass Scales from Electroweak Capacity Saturation — DOI 10.5281/zenodo.20684215 Paper 29 — Plaquette Representation Dominance and Confinement — DOI 10.5281/zenodo.20684218 Paper 30 — A Tube Mechanism for the Lattice Mass Gap — DOI 10.5281/zenodo.20684220 Paper 31 — Osterwalder–Schrader Structure of Lattice Yang–Mills — DOI 10.5281/zenodo.20684222 Paper 33 — Trace-to-Scheme Export Architecture — DOI 10.5281/zenodo.20684224 Paper 35 — The Dark Sector as a Two-Role Capacity Decomposition — DOI 10.5281/zenodo.20684228 Paper 40 — The Thermodynamics of Finite Distinction (Between Symmetry and the Void) — DOI 10.5281/zenodo.20684235 Paper 41 — The Horizon as a Continuation Ledger — DOI 10.5281/zenodo.20684241 Paper 42 — The Weak Mixing Angle Is Not Free — DOI 10.5281/zenodo.20684245 Paper 43 — The Neutrino Sector — DOI 10.5281/zenodo.21194191 Paper 44 — What a Finite Theory Owes the Continuum — DOI 10.5281/zenodo.21195874 Paper 45 — What the Vacuum Can Keep — DOI 10.5281/zenodo.21194195 Paper 46 — The Strong CP Angle Is Not Free — DOI 10.5281/zenodo.21194197 Paper 47 — The Confinement Antecedent Is Not Forced — DOI 10.5281/zenodo.21194199 Technical Supplements cross-link to their main paper via isSupplementTo and to the engine via isDocumentedBy. Concept DOIs above resolve to the latest version. Author. Ethan Brooke, Independent Researcher, San Anselmo, California, USA. ORCID: 0009-0001-2261-4682 LinkedIn: linkedin.com/in/ethanbrooke GitHub: github.com/Ethan-Brooke Contact: brooke.ethan@gmail.com