Gravity as a Consequence of Mass Variation A Reinterpretation via the Hubble Constant and Quantum Viscosity

Title: Gravity as a Consequence of Mass Variation: A Reinterpretation via the Hubble Constant and Quantum Viscosity
Author: Aliaksei Papou
Date: June 2026
DOI: 10.5281/zenodo.20661081

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Abstract:

We propose a reinterpretation of Newtonian gravity where the gravitational source is not the static mass $M$, but the rate of change of mass $Q = dM/dt$. By assuming that mass varies at a fractional rate proportional to the Hubble constant $H_0$, we derive a modified gravitational coupling constant $\nu = H_0/G$. We demonstrate that this constant can be expressed in terms of a dynamic viscosity $\eta$ and the speed of light $c$, such that $\nu = \eta/c^2$. Furthermore, by identifying the viscosity with the quantum volume of a nucleon, we recover the Weinberg relation $m_p^3 = \hbar^2 H_0 / (G c)$, suggesting a deep connection between microscopic particle physics and cosmological expansion.

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Introduction

We propose a reinterpretation of Newtonian gravity where the gravitational source is not the static mass M , but the rate of change of mass Q = dM/dt. By assuming that mass varies at a fractional rate proportional to the Hubble constant H 0 , we derive a modied gravitational coupling constant ν = H 0 /G. We demonstrate that this constant can be expressed in terms of a dynamic viscosity η and the speed of light c, such that ν = η/c 2. Furthermore, by identifying the viscosity with the quantum volume of a nucleon, we recover the Weinberg relation m 3 p = ℏ 2 H 0 /(Gc), suggesting a deep connection between microscopic particle physics and cosmological expansion.

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References

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