Geometric Derivation of Force and the Inverse Square Law from de Broglie Relations.

Starting from de Broglie’s fundamental relation λ = h/p, we derive the geometric nature of force as the rate of spacetime curvature change. We show that two-body interactions naturally produce angular relationships that lead to the inverse square law. The factor of 2 in gravitational deflection and precession calculations emerges naturally from proper treatment of both objects’ contributions. This work demonstrates that force is not a mysterious action at distance but local geometric evolution of spacetime curvature.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-09-20
DOI
https://doi.org/10.5281/zenodo.17163210
Primary Topic
Geochemistry and Geologic Mapping
Type
article
Field-Weighted Citation Impact
0.00
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article

Geometric Derivation of Force and the Inverse Square Law from de Broglie Relations.

Zenodo (CERN European Organization for Nuclear Research)
Geochemistry and Geologic Mapping
article

Geometric Derivation of Force and the Inverse Square Law from de Broglie Relations.

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Abstract

Starting from de Broglie’s fundamental relation λ = h/p, we derive the geometric nature of force as the rate of spacetime curvature change. We show that two-body interactions naturally produce angular relationships that lead to the inverse square law. The factor of 2 in gravitational deflection and precession calculations emerges naturally from proper treatment of both objects’ contributions. This work demonstrates that force is not a mysterious action at distance but local geometric evolution of spacetime curvature.

Zenodo (CERN European Organization for Nuclear Research)
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Openalex Percentile: Top 33%
Geochemistry and Geologic Mapping
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Geometric Derivation of Force and the Inverse Square Law from de Broglie Relations. · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS