Time dependence of c and its concomitants
Abstract
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 $r_0$.
- Publication:
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arXiv e-prints
- Pub Date:
- September 2003
- arXiv:
- arXiv:gr-qc/0309031
- Bibcode:
- 2003gr.qc.....9031B
- Keywords:
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- General Relativity and Quantum Cosmology
- E-Print:
- Latex, 11 pages