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A Closed-Form Relation Between the Gravitational Constant and the Electron Mass | Synapse

March 28, 2026Open Access

A Closed-Form Relation Between the Gravitational Constant and the Electron Mass

Key Points

This research aims to establish a closed-form relation between the gravitational constant and the electron mass.
Derivation of a formula from a holographic boundary membrane model.
Utilization of elastic constants to frame the derivation.
Integration of three observations without free parameters.
The derived formula predicts the gravitational constant with high accuracy.
Predicted values align with CODATA 2022 measurements within 0.8 sigma.

Abstract

We derive G = hbar c yₑ² e^-4K / mₑ² from a holographic boundary membrane with elastic constants (K, nu), constructed from three observations with zero free parameters. The predicted G agrees with CODATA 2022 within 0. 8 sigma.

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Cite This Study

Khoa Nguyen (Thu,) studied this question.

synapsesocial.com/papers/69c772938bbfbc51511e330f https://doi.org/https://doi.org/10.5281/zenodo.19234434

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