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A THEORY OF TIME-VARYING CONSTANTS

Published:2001-06 Issue:03 Volume:10 Page:299-309
ISSN:0218-2718
Container-title:International Journal of Modern Physics D
language:en
Short-container-title:Int. J. Mod. Phys. D

Author:

BELINCHÓN JOSÉ ANTONIO¹,ALFONSO-FAUS ANTONIO²

Affiliation:

1. Grupo Inter-Universitario de Análisis Dimensional, Dept. Física ETS Arquitectura UPM, Av. Juan de Herrera N 4 Madrid, 28040 España, Spain

2. Dept. Aerotecnia EUIT Aeronáutica UPM, Plaza Cardenal Cisneros s/n Madrid, 28040 España, Spain

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 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 [Formula: see text], together with the equation of state and the Einstein cosmological equations. Assuming realistic physical and mathematical conditions we obtain a consistent result with ℏ c= constant . In this way we obtain gauge invariance for the Schrödinger equation and the behavior of the remaining "constants."

Publisher

World Scientific Pub Co Pte Lt

Subject

Space and Planetary Science,Astronomy and Astrophysics,Mathematical Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218271801000974

Reference11 articles.

1. A flat Universe from high-resolution maps of the cosmic microwave background radiation

2. Cosmological Models with Bulk Viscosity in the Presence of Adiabatic Matter Creation and with Variable G, c, and Λ

3. Particle creation in varying speed of light cosmological models

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