Generalizing Mass-Energy Equivalence: The TAU-Induced Energy of Vacuum Regularization (∆ETAU) and the Proton Radius Puzzle

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Main Author: Moulin, Pascal
Format: Recurso digital
Language:English
Published: Zenodo 2025
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author Moulin, Pascal
author_facet Moulin, Pascal
contents <p>The Mass-Energy Equivalence, $E=mc^2$, is extended here to account for vacuum dynamics at extreme scales. By introducing the \textbf{Theory of Angular Unification ($\mathbf{\TAU}$)} and the \textbf{PR-TAU 5.2.1} protocol, we postulate that stable mass requires a vacuum regularization component: $\mathbf{E}_{\mathbf{\TAU}} = m c^2 + \mathbf{\Delta E_{\mathbf{\TAU}}}$. We demonstrate that $\mathbf{\Delta E_{\mathbf{\TAU}}}$ originates from the topological angular closure defect $\epsilon \approx 5.76 \times 10^{-4}$ of the $\mathbf{QRD}$ lattice. This energy correction, induced by the repulsive phase ($\mathbf{G}_{\text{eff}} = -\mathbf{G}$) at the Nuclear Critical Pressure ($\mathbf{\PcritNucl}$), exhibits a strict $\mathbf{m}_l^3$ dependence. This kinematic signature resolves the \textbf{Proton Radius Puzzle} by reconciling muonic and electronic hydrogen measurements within a single unified framework, while setting the Yukawa gravity range to $\lambda \approx 1.03$~AU.</p>
format Recurso digital
id zenodo_https___doi_org_10_5281_zenodo_18046798
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language eng
publishDate 2025
publisher Zenodo
record_format zenodo
spellingShingle Generalizing Mass-Energy Equivalence: The TAU-Induced Energy of Vacuum Regularization (∆ETAU) and the Proton Radius Puzzle
Moulin, Pascal
vacuum
Mass-Energy Equivalence
Nuclear Critical Pressure
Proton Radius Puzzle
Yukawa gravity range
<p>The Mass-Energy Equivalence, $E=mc^2$, is extended here to account for vacuum dynamics at extreme scales. By introducing the \textbf{Theory of Angular Unification ($\mathbf{\TAU}$)} and the \textbf{PR-TAU 5.2.1} protocol, we postulate that stable mass requires a vacuum regularization component: $\mathbf{E}_{\mathbf{\TAU}} = m c^2 + \mathbf{\Delta E_{\mathbf{\TAU}}}$. We demonstrate that $\mathbf{\Delta E_{\mathbf{\TAU}}}$ originates from the topological angular closure defect $\epsilon \approx 5.76 \times 10^{-4}$ of the $\mathbf{QRD}$ lattice. This energy correction, induced by the repulsive phase ($\mathbf{G}_{\text{eff}} = -\mathbf{G}$) at the Nuclear Critical Pressure ($\mathbf{\PcritNucl}$), exhibits a strict $\mathbf{m}_l^3$ dependence. This kinematic signature resolves the \textbf{Proton Radius Puzzle} by reconciling muonic and electronic hydrogen measurements within a single unified framework, while setting the Yukawa gravity range to $\lambda \approx 1.03$~AU.</p>
title Generalizing Mass-Energy Equivalence: The TAU-Induced Energy of Vacuum Regularization (∆ETAU) and the Proton Radius Puzzle
topic vacuum
Mass-Energy Equivalence
Nuclear Critical Pressure
Proton Radius Puzzle
Yukawa gravity range
url https://doi.org/10.5281/zenodo.18046798