Toward Foundational Field Equations for SP3 Space-Phase Theory A Unified Medium Framework for Oscillatory Propagation, Coherent Confinement, and Pressure-Gradient Gravitation

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Autor principal: Beecham, James E.
Formato: Recurso digital
Publicado: Zenodo 2026
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author Beecham, James E.
author_facet Beecham, James E.
contents <p>SP3 (Space-Phase) Theory proposes that physical reality emerges from the behavior of a<br>conditionable substrate termed space-phase. Previous SP3 papers described ten recurring<br>functions of this medium and presented conceptual reduction pathways linking those<br>functions to Maxwell electromagnetism, Schrödinger quantum mechanics, and Einstein<br>gravitation.<br>The present paper extends the framework by proposing preliminary SP3 field equations<br>intended as educational and heuristic starting points for a unified medium description.<br>These equations are not claimed as finalized physical laws, but rather as candidate<br>substrate relations designed to capture oscillatory propagation, coherent confinement,<br>medium conditioning, transport guidance, memory persistence, and pressure-gradient<br>gravitation within one organized framework.<br>The paper develops generalized scalar, vector, and tensor forms for space-phase<br>conditioning and proposes reduction limits under which familiar physical equations<br>emerge as effective approximations. The intent is to provide a coherent mathematical<br>architecture capable of future refinement and observational testing.</p>
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publishDate 2026
publisher Zenodo
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spellingShingle Toward Foundational Field Equations for SP3 Space-Phase Theory A Unified Medium Framework for Oscillatory Propagation, Coherent Confinement, and Pressure-Gradient Gravitation
Beecham, James E.
<p>SP3 (Space-Phase) Theory proposes that physical reality emerges from the behavior of a<br>conditionable substrate termed space-phase. Previous SP3 papers described ten recurring<br>functions of this medium and presented conceptual reduction pathways linking those<br>functions to Maxwell electromagnetism, Schrödinger quantum mechanics, and Einstein<br>gravitation.<br>The present paper extends the framework by proposing preliminary SP3 field equations<br>intended as educational and heuristic starting points for a unified medium description.<br>These equations are not claimed as finalized physical laws, but rather as candidate<br>substrate relations designed to capture oscillatory propagation, coherent confinement,<br>medium conditioning, transport guidance, memory persistence, and pressure-gradient<br>gravitation within one organized framework.<br>The paper develops generalized scalar, vector, and tensor forms for space-phase<br>conditioning and proposes reduction limits under which familiar physical equations<br>emerge as effective approximations. The intent is to provide a coherent mathematical<br>architecture capable of future refinement and observational testing.</p>
title Toward Foundational Field Equations for SP3 Space-Phase Theory A Unified Medium Framework for Oscillatory Propagation, Coherent Confinement, and Pressure-Gradient Gravitation
url https://doi.org/10.5281/zenodo.20354019