Physics as Admissible Potential: Constraint Grammar, Informative Failure, and Basis Integrity

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Main Author: Simpson, Michael Alexander
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Published: Zenodo 2026
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author Simpson, Michael Alexander
author_facet Simpson, Michael Alexander
contents <p><span><strong>Physics as Admissible Potential</strong></span> reframes physics not as a discipline of prediction, but as a grammar of constraint that specifies what is <em>admissible</em> and what constitutes <em>physical potential</em>. The paper draws a strict distinction between abstract mathematical possibility and physically meaningful potential, arguing that mathematical consistency alone does not confer physical relevance.</p> <p> </p> <p>Within this framework, physics is understood as defining admissibility conditions under which interaction, persistence, and resolution may occur. Once admissibility is established, operant traversal refines admissible potential into <em>probable</em>continuation, introducing likelihood as an execution-level consequence rather than a foundational primitive. Prediction is therefore treated as downstream of physics, arising from constraint-weighted traversal rather than from physical law itself.</p> <p> </p> <p>Time and distance are described as derived ledgers of irreversible constraint traversal, not as primitives. Geometry is treated as descriptive of admissibility and closure regimes rather than as generative or causative. Failure is framed as informative boundary information that stabilizes comparison and enables convergence rather than as an error state.</p> <p> </p> <p>The paper further reframes the Millennium Prize Problems as calibrated positive and negative tests of admissible structure. Under this interpretation, classical solvability is secondary to their role in diagnosing basis integrity and boundary conditions.</p> <p> </p> <p>This document is <span><strong>explanatory and non-normative</strong></span>. It does not introduce new physical postulates, mathematical proofs, or falsification criteria. Instead, it provides a disciplined interpretive framework for reading physics, mathematics, and the Unified Resonance Model (URM) consistently. A canonical URM/IP glossary and a plain-English appendix are included to stabilize terminology and accessibility.</p>
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publishDate 2026
publisher Zenodo
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spellingShingle Physics as Admissible Potential: Constraint Grammar, Informative Failure, and Basis Integrity
Simpson, Michael Alexander
Physics foundations
Admissibility
Constraint grammar
Potential vs probability
Unified Resonance Model (URM)
Operant systems
POP (P→O→P loop)
Failure as boundary information
Non-anthropomorphic physics
Time as derived quantity
Distance as derived quantity
Geometry as descriptive grammar
Prediction and execution
Millennium Prize Problems
Foundations of physical explanation
<p><span><strong>Physics as Admissible Potential</strong></span> reframes physics not as a discipline of prediction, but as a grammar of constraint that specifies what is <em>admissible</em> and what constitutes <em>physical potential</em>. The paper draws a strict distinction between abstract mathematical possibility and physically meaningful potential, arguing that mathematical consistency alone does not confer physical relevance.</p> <p> </p> <p>Within this framework, physics is understood as defining admissibility conditions under which interaction, persistence, and resolution may occur. Once admissibility is established, operant traversal refines admissible potential into <em>probable</em>continuation, introducing likelihood as an execution-level consequence rather than a foundational primitive. Prediction is therefore treated as downstream of physics, arising from constraint-weighted traversal rather than from physical law itself.</p> <p> </p> <p>Time and distance are described as derived ledgers of irreversible constraint traversal, not as primitives. Geometry is treated as descriptive of admissibility and closure regimes rather than as generative or causative. Failure is framed as informative boundary information that stabilizes comparison and enables convergence rather than as an error state.</p> <p> </p> <p>The paper further reframes the Millennium Prize Problems as calibrated positive and negative tests of admissible structure. Under this interpretation, classical solvability is secondary to their role in diagnosing basis integrity and boundary conditions.</p> <p> </p> <p>This document is <span><strong>explanatory and non-normative</strong></span>. It does not introduce new physical postulates, mathematical proofs, or falsification criteria. Instead, it provides a disciplined interpretive framework for reading physics, mathematics, and the Unified Resonance Model (URM) consistently. A canonical URM/IP glossary and a plain-English appendix are included to stabilize terminology and accessibility.</p>
title Physics as Admissible Potential: Constraint Grammar, Informative Failure, and Basis Integrity
topic Physics foundations
Admissibility
Constraint grammar
Potential vs probability
Unified Resonance Model (URM)
Operant systems
POP (P→O→P loop)
Failure as boundary information
Non-anthropomorphic physics
Time as derived quantity
Distance as derived quantity
Geometry as descriptive grammar
Prediction and execution
Millennium Prize Problems
Foundations of physical explanation
url https://doi.org/10.5281/zenodo.18203690