A Theory of time-varying Constants

Abstract

We present a flat (K=0) cosmological model, described by a perfect fluid with the ``constants'' $G,c$ and $\Lambda$ varying with cosmological time $t$. We introduce Planckś ``constant'' $\hslash$ 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. $div(\frac{G}{c^4}{T}_i^j+{\delta }_i^j\Lambda )=0,$ together with the equation of state and the Einstein cosmological equations. Assuming realistic physical and mathematical conditions we obtain a consistent result with $\hslash c=constant$. In this way we obtain gauge invariance for the Schrödinger equation and the behaviour of the remaining ``constants''

15 pages, RevTeX4