What May Exist - The Admissibility Papers - V 4.0

This work presents a unified, constraint-first research program in which physical law is treated as governing what is permitted to exist prior to governing how states evolve. Rather than proposing new dynamics, particles, or microscopic models, the framework introduces admissibility as a primitive structural constraint: the requirement that distinctions, correlations, and histories be jointly enforceable under finite correlation capacity. Across forty-plus internally consistent papers, the collection develops the consequences of this shift for entropy, irreversibility, spacetime geometry, gravity, quantum coherence, horizons, and cosmological origin. Entropy is reinterpreted as saturation of finite correlation capacity rather than statistical uncertainty; probability is treated as conditional rather than fundamental; geometry emerges as an effective representation of enforceable constraint structure; and irreversibility arises from geometric locking of correlation capacity into records rather than from stochastic dynamics alone. Within this framework, gravity is understood as the geometric enforcement of shared admissibility, remaining meaningful in regimes where other physical descriptors fail. Cosmological origin is reframed not as a dynamical initial condition but as an admissibility boundary separating regimes in which differentiated physical description becomes possible from those in which no distinctions are enforceable. Black hole horizons, entropy bounds, and information recovery are treated as manifestations of enforceability limits rather than as dynamical paradoxes. The collection does not modify the equations of general relativity, quantum mechanics, or thermodynamics, nor does it privilege a specific microscopic ontology. Instead, it provides a structural layer beneath existing theories that clarifies their domains of validity and explains their shared failure modes. Several papers derive structural no-go results, showing why certain forms of total unification, unrestricted multiverse ontologies, or simultaneous global geometry and unitarity are inadmissible under finite correlation capacity. The program culminates in a conservative empirical exposure using publicly available gravitational-wave data, proposing falsifiable horizon-correlated residual signatures that would distinguish admissibility-limited spacetime from smooth geometric ultraviolet completions. Confirmation or refutation of these signatures would directly test the framework without relying on speculative microphysics. This archive is intended as a permanent, citable record of a coherent foundational framework. Its contribution is explanatory and structural rather than dynamical: it reorganizes the conceptual ordering of physical law by making admissibility explicit and by treating entropy, geometry, time, and probability as regime-dependent representations rather than universal primitives. You should look at this work with AI - Recommended Upload Order What Physics Permits: A Constraint-First Framework for Physical Law Principle of Admissible Correlation: A Pre-Geometric Foundation for Physical Law Constraint in Fundamental Physics Admissibility and the Staged Emergence of Coherence The Carrying Capacity of Spacetime Gravity as the Geometry of Correlation Capacity Black Holes, Admissibility, and the Information Paradox: Constraint Relaxation as a Resolution Without New Dynamics The Geometry of Irreversibility: Correlation Capacity, Entropy, and the Locking of History Before Spacetime: Perfect Symmetry and Admissibility Finite Correlation Capacity and the Death of the Naive Multiverse Spacetime Geometry from Correlation Cost and Finite Capacity Filtering the Microstructure of Spacetime: Capacity, Admissibility, and No-Go Constraints Observable Signatures of Capacity-Limited Spacetime Perfect Symmetry and Cosmological Origin The Minimal Admissibility Core Finite Admissibility and the Staged Emergence of Coherence What Entropy Measures: Correlation Capacity and the Origin of Geometry Why History Locks Why Gravity Is Geometric Before Time and Entropy Structural Closure of Physical Description A Calculus of Admissible Correlation Finite Correlation Capacity and the Necessity of Physical Scales Quantum Gravity as Constraint Structural No-Go Results from Finite Correlation Capacity: Why Certain Unifications Cannot Exist Structural Predictions from Finite Correlation Capacity: Regime Transitions, Spectral Knees, and Coherence Thresholds Structural Selection of Particles and Forces from Staged Coherence Admissibility and Correlation Capacity in Plasmas: A Constraint-Based Framework for Interface Formation, Diagnostics, and Control Admissibility Without Realizability: Why Power Constraints Do Not Uniquely Select Quantum Theory Admissible Microscopic Realizations: Microphysics as Downstream Implementations of Capacity Constraints Entropy, Geometry, and the Carrying Capacity of Correlations Constraint Saturation and Phase-Space Admissibility in Cosmogenesis Constraint, Entropy, and the Origin of the Persistent Universe Cosmological Closure: Dark Sectors as Regime Artifacts of Admissibility Dynamic Emergence from Capacity Geometry: An Effective Action Principle for Admissible Reconfiguration Geometry Must Fail Before Unitarity Can: Horizon-Scale Signatures Horizon-Correlated Ringdown Residuals from Finite Correlation Capacity Ontological Foundations of Admissibility: Why Correlation and Capacity Are the Minimal Physical Primitives Validation Note: A Conservative Test of Finite Correlation Capacity Staged Gravitational Constraint and the Thermodynamic Structure of Cosmic History 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