EP Hints v1.0 Structural Hints for the Equivalence Principle from Coherence Cosmology

This document identifies structural correspondences between the equivalence principle of general relativity and the formal framework of Coherence Cosmology (SR103EN v1.8). The equivalence principle — that gravitational and inertial acceleration are locally indistinguishable — has been empirically confirmed but never explained at the ontological level. Coherence Cosmology proposes a structural basis: both gravitational fields and high velocities correspond to the same ontological situation, described by the mutual recognizability function V(L₂|L₁) of SR103EN Formalization v1.0. Four conceptual contact points are identified: (1) the denial of external forces in both frameworks; (2) the unification of gravitational and velocity time dilation under decreasing V values; (3) difference-series density as the common structural ground; (4) free fall as crystallization along the difference-series direction. This is a conceptual note — nothing more, nothing stronger. It does not derive the equivalence principle from the axioms of Coherence Cosmology. Stage 2 (mathematical derivation) remains an open problem. Prerequisite: SR103EN Formalization v1.0 (DOI: 10.5281/zenodo.20405659)Related: QG Hints v1.0 (DOI: 10.5281/zenodo.20407643)

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-05-29
DOI
https://doi.org/10.5281/zenodo.20447229
Primary Topic
Relativity and Gravitational Theory
Type
preprint
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EP Hints v1.0 Structural Hints for the Equivalence Principle from Coherence Cosmology

Masashi Saito
Zenodo (CERN European Organization for Nuclear Research)
Relativity and Gravitational Theory
preprint

EP Hints v1.0 Structural Hints for the Equivalence Principle from Coherence Cosmology

Masashi Saito
preprint en

Abstract

This document identifies structural correspondences between the equivalence principle of general relativity and the formal framework of Coherence Cosmology (SR103EN v1.8). The equivalence principle — that gravitational and inertial acceleration are locally indistinguishable — has been empirically confirmed but never explained at the ontological level. Coherence Cosmology proposes a structural basis: both gravitational fields and high velocities correspond to the same ontological situation, described by the mutual recognizability function V(L₂|L₁) of SR103EN Formalization v1.0. Four conceptual contact points are identified: (1) the denial of external forces in both frameworks; (2) the unification of gravitational and velocity time dilation under decreasing V values; (3) difference-series density as the common structural ground; (4) free fall as crystallization along the difference-series direction. This is a conceptual note — nothing more, nothing stronger. It does not derive the equivalence principle from the axioms of Coherence Cosmology. Stage 2 (mathematical derivation) remains an open problem. Prerequisite: SR103EN Formalization v1.0 (DOI: 10.5281/zenodo.20405659)Related: QG Hints v1.0 (DOI: 10.5281/zenodo.20407643)

Zenodo (CERN European Organization for Nuclear Research)
Relativity and Gravitational Theory
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