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

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 $5^{\mathrm{th}}$ dimension. Comparison with experiment strongly refutes the implied dependence of the rest mass on the cosmological time.

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