a Theory of Time-Varying Constants

Mathematics – Logic

Scientific paper

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Scientific paper

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 Planck's "constant" ħ 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 Einstein's field equations i.e. div(G/c4 Tij + δ ij 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 ħc = constant. In this way we obtain gauge invariance for the Schrödinger equation and the behaviour of the remaining "constants".

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