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arxiv: gr-qc/0309031 · v1 · submitted 2003-09-05 · 🌀 gr-qc

Time dependence of c and its concomitants

classification 🌀 gr-qc
keywords constanttimeconcomitantdependencealphaarxivassumptioncharge
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As we showed in a preceding arXiv:gr-qc Einstein equations, conveniently written, provide the more orthodox and simple description of cosmological models with a time dependent speed of light $c$. We derive here the concomitant dependence of the electric permittivity $\epsilon$, the magnetic permeability $\mu$, the unit of charge $e$, Plank's constant $h$, under the assumption of the constancy of the fine structure constant $\alpha$, and the masses of elementary particles $m$. As a consequence of these concomitant dependences on time they remain constant their ratios $e/m$ as well as their Compton wave length $\lambda_c$ and their classical radius $r_0$.

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