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A Theory of time-varying Constants

José Antonio Belinchón·Antonio Alfonso-Faus
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Abstract

We present a flat (K=0) cosmological model, described by a perfect fluid with the ``constants'' $G,c$ and $Λ$ varying with cosmological time $t$. We introduce Planckś ``constant'' $\hbar$ in the field equations through the equation of state for the energy density of radiation. We then determine the behaviour of the ``constants'' by using the zero divergence of the second member of the modified Einsteinś field equations i.e. $div(\frac{G}{c^{4}}T_{i}^{j}+δ_{i}^{j}Λ)=0,$ together with the equation of state and the Einstein cosmological equations. Assuming realistic physical and mathematical conditions we obtain a consistent result with $\hbar c=constant$. In this way we obtain gauge invariance for the Schrödinger equation and the behaviour of the remaining ``constants''

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José Antonio Belinchón, Antonio Alfonso-Faus. 2004-04-09. A Theory of time-varying Constants. https://doi.org/10.1142/s0218271801000974

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