Admissible Persistence Theory (APT): A Layered Formalization of Admissible Continuation, Realization, Dissipation, and Semantic Persistence

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Autore principale: Ellington, Micheal
Natura: Recurso digital
Lingua:inglese
Pubblicazione: Zenodo 2026
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author Ellington, Micheal
author_facet Ellington, Micheal
contents <p>Admissible Persistence Theory (APT) is a layered formalization framework for admissible continuation, realizability, dissipation, irreversibility, embodied persistence, maintenance, and observer-relative semantic persistence.</p> <p> </p> <p>The framework is organized as a strict inheritance architecture in which each layer introduces only the minimum additional structure required for new persistence phenomena to emerge.</p> <p> </p> <p>The publication defines:</p> <p> </p> <ul> <li>admissible continuation relations,</li> <li>persistence reachability geometry,</li> <li>boundary and obstruction structures,</li> <li>quantitative admissibility margins,</li> <li>feasibility interaction geometry,</li> <li>admissible trajectories,</li> <li>realization compatibility,</li> <li>realized evolution,</li> <li>dissipation accumulation,</li> <li>irreversibility as reconstruction failure,</li> <li>fragmentation and proto-entropic sectorization,</li> <li>physical persistence realization,</li> <li>maintenance/metabolic persistence,</li> <li>observer-relative semantic persistence.</li> </ul> <p> </p> <p> </p> <p>The framework is intended as a foundational architecture for admissible computation, governed state transition systems, persistence geometry, verifier-governed execution systems, semantic continuity analysis, and resource-aware intelligent systems.</p> <p> </p> <p>This release includes:</p> <p> </p> <ul> <li>publication-grade manuscripts,</li> <li>notation registries,</li> <li>semantic firewall registries,</li> <li>theorem dependency structures,</li> <li>release metadata,</li> <li>supplementary layered PDFs,</li> <li>and Zenodo archival metadata.</li> </ul> <p> </p> <p> </p> <p>License:</p> <p>CC BY-NC 4.0 (Attribution-NonCommercial)</p>
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spellingShingle Admissible Persistence Theory (APT): A Layered Formalization of Admissible Continuation, Realization, Dissipation, and Semantic Persistence
Ellington, Micheal
Admissible Persistence Theory APT persistence geometry admissible continuation realization theory irreversibility fragmentation geometry semantic persistence governed computation resource-aware systems verifier-governed computation formal systems mathematical foundations computation theory topological persistence system realization coherence systems Noetican Labs
<p>Admissible Persistence Theory (APT) is a layered formalization framework for admissible continuation, realizability, dissipation, irreversibility, embodied persistence, maintenance, and observer-relative semantic persistence.</p> <p> </p> <p>The framework is organized as a strict inheritance architecture in which each layer introduces only the minimum additional structure required for new persistence phenomena to emerge.</p> <p> </p> <p>The publication defines:</p> <p> </p> <ul> <li>admissible continuation relations,</li> <li>persistence reachability geometry,</li> <li>boundary and obstruction structures,</li> <li>quantitative admissibility margins,</li> <li>feasibility interaction geometry,</li> <li>admissible trajectories,</li> <li>realization compatibility,</li> <li>realized evolution,</li> <li>dissipation accumulation,</li> <li>irreversibility as reconstruction failure,</li> <li>fragmentation and proto-entropic sectorization,</li> <li>physical persistence realization,</li> <li>maintenance/metabolic persistence,</li> <li>observer-relative semantic persistence.</li> </ul> <p> </p> <p> </p> <p>The framework is intended as a foundational architecture for admissible computation, governed state transition systems, persistence geometry, verifier-governed execution systems, semantic continuity analysis, and resource-aware intelligent systems.</p> <p> </p> <p>This release includes:</p> <p> </p> <ul> <li>publication-grade manuscripts,</li> <li>notation registries,</li> <li>semantic firewall registries,</li> <li>theorem dependency structures,</li> <li>release metadata,</li> <li>supplementary layered PDFs,</li> <li>and Zenodo archival metadata.</li> </ul> <p> </p> <p> </p> <p>License:</p> <p>CC BY-NC 4.0 (Attribution-NonCommercial)</p>
title Admissible Persistence Theory (APT): A Layered Formalization of Admissible Continuation, Realization, Dissipation, and Semantic Persistence
topic Admissible Persistence Theory APT persistence geometry admissible continuation realization theory irreversibility fragmentation geometry semantic persistence governed computation resource-aware systems verifier-governed computation formal systems mathematical foundations computation theory topological persistence system realization coherence systems Noetican Labs
url https://doi.org/10.5281/zenodo.20260156