Table des matières: :: Library Catalog

Enregistré dans:

Détails bibliographiques
Auteur principal:	Cooney, Paul
Format:	Recurso digital
Langue:
Publié:	Zenodo 2026
Accès en ligne:	https://doi.org/10.5281/zenodo.18654458
Tags:	Ajouter un tag Pas de tags, Soyez le premier à ajouter un tag!

Table des matières:

This paper formalizes the conditions under which physical reference frames cease to exist as stable descriptive structures. Within the finite accessibility program, frames are not primitive entities — they are extended systems that maintain internal certification coherence. When certification demand exceeds the available bandwidth, frames dissolve. The Planck scale emerges not as a quantization input, but as the structural ceiling beyond which intersubjective geometry cannot be sustained. <h2>Frame as Certification-Coherent System</h2> A physical reference frame is defined operationally as a bounded system satisfying: <ol> <li> Internal synchronization </li> <li> Additive Fisher structure </li> <li> Stable deformation closure </li> <li> Cross-channel consistency </li> </ol> Let the temporal certification factor be: Omega_t(r) = 1 - GM / (c^2 r) Frame stability requires: 0 < Omega_t ≤ 1 When Omega_t → 0, certification bandwidth collapses and temporal labeling fails. This defines the dissolution threshold. <h2>The Dissolution Condition</h2> Frame dissolution occurs when: GM / (c^2 r) → 1 Equivalently: r → r_s = 2GM / c^2 At this boundary: • Distinguishability vanishes • Fisher additivity fails • Local time labels lose intersubjective meaning • Spatial deformation diverges The Schwarzschild radius is therefore not a coordinate artifact — it is a certification ceiling. <h2>Emergence of the Planck Scale</h2> Combine gravitational depletion with the action gap from Paper II: E * T ≥ hbar_* Demanding that certification bandwidth not exceed action resolution yields: M_* proportional to sqrt(hbar c / G) The Planck mass is the maximal mass allowing a frame to remain certification-coherent within its own Compton radius. Thus: Planck scale = frame stability boundary. It is structurally forced by bounded accessibility plus action granularity. <h2>Dissolution as Structural Necessity</h2> This paper demonstrates: • Reference frames are emergent certification structures • Horizons represent bandwidth saturation surfaces • Black holes correspond to maximal channel depletion • The Planck ceiling is the universal stability bound • No independent quantization of gravity is required Gravity and quantum structure meet at the point where frames fail. <h2>Structural Results</h2> • Schwarzschild horizon reinterpreted as certification collapse • Planck mass derived from bandwidth × action consistency • Frame failure predicted when Fisher composition breaks • Horizon thermodynamics emerges from saturation The dissolution threshold is not optional — it is required by finite accessibility. <h2>Keywords</h2> Finite accessibility Frame dissolution Planck ceiling Schwarzschild horizon Certification bandwidth Fisher breakdown Emergent spacetime Operational gravity Quantum–gravity boundary Structural mass scale <h1>Finite Accessibility Series — DOI Index</h1> I. Gravitational Geometry and Schrödinger Dynamics DOI: 10.5281/zenodo.18601600 II. Inertia, Motion, and Wave Propagation DOI: 10.5281/zenodo.18625174 III. Quantum Records, Definite Outcomes, and Born Rule DOI: 10.5281/zenodo.18625192 IV. Deformation Channels and Consistency Window DOI: 10.5281/zenodo.18654364 V. Certification Manifold (Dark Matter) DOI: 10.5281/zenodo.18654433 VI. Frame Dissolution and Planck Ceiling DOI: 10.5281/zenodo.18654458 VII. Exclusion Theorems (Seven No-Go Results) DOI: 10.5281/zenodo.18654493 VIII. Dark Energy as Mandatory Certification Overhead DOI: 10.5281/zenodo.18654523

Documents similaires