Two Geometries, One Wave Amplitude: Quantum Potential and Gravitational Self-Potential as Conjugate Aspects of a Conformal Metric Pair

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1. Verfasser:	Sikaneta, Sakalima
Format:	Recurso digital
Veröffentlicht:	Zenodo 2026
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_version_	1866901088371736576
author	Sikaneta, Sakalima
author_facet	Sikaneta, Sakalima
contents	<p>The quantum potential of Bohmian mechanics is the Ricci scalar mismatch between two conformally related spacetime metrics. In four dimensions the conformal transformation formula contains the factor (n−1)(4−n), which vanishes exactly at n = 4, leaving<br>the exact identity<br> <br>    Q_rel = (ℏ²/6m)(R_g − R²R̃)<br> <br>verified to zero residual with SymPy. The coefficient 1/6 is geometry, not a parameter.</p> <p>Paper I of III.</p>
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publishDate	2026
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spellingShingle	Two Geometries, One Wave Amplitude: Quantum Potential and Gravitational Self-Potential as Conjugate Aspects of a Conformal Metric Pair Sikaneta, Sakalima <p>The quantum potential of Bohmian mechanics is the Ricci scalar mismatch between two conformally related spacetime metrics. In four dimensions the conformal transformation formula contains the factor (n−1)(4−n), which vanishes exactly at n = 4, leaving<br>the exact identity<br> <br>    Q_rel = (ℏ²/6m)(R_g − R²R̃)<br> <br>verified to zero residual with SymPy. The coefficient 1/6 is geometry, not a parameter.</p> <p>Paper I of III.</p>
title	Two Geometries, One Wave Amplitude: Quantum Potential and Gravitational Self-Potential as Conjugate Aspects of a Conformal Metric Pair
url	https://doi.org/10.5281/zenodo.19222843

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