Variable rest masses in 5-dimensional gravitation confronted with experimental data

TL;DR

This paper investigates a 5-dimensional gravitational model predicting variable rest masses and compares it with experimental data, ultimately refuting the hypothesis that rest mass depends on the fifth dimension over cosmological time.

Contribution

It provides cosmological solutions in 5D gravity and tests the hypothesis of mass variation, offering empirical constraints on higher-dimensional theories.

Findings

Rest mass dependence on the fifth dimension is strongly refuted by experimental data.

The 5D cosmological solutions do not support variable rest masses.

Experimental data contradicts the hypothetical relation between mass and the fifth dimension.

Abstract

Cosmological solutions of Einstein equation for a \mbox{5-dimensional} space-time, in the case of a dust-filled universe, are presented. With these solutions we are able to test a hypothetical relation between the rest mass of a particle and the $5^{\rm th}$ dimension. Comparison with experiment strongly refutes the implied dependence of the rest mass on the cosmological time.