On a time varying fine structure constant

TL;DR

This paper investigates how fundamental constants and cosmological parameters may vary over time to explain the observed changes in the fine structure constant, using Dirac LNH and Berman's generalization, and also derives a compatible deceleration parameter.

Contribution

It introduces a model linking the variation of fundamental constants with the time variation of the fine structure constant, extending previous theories with a new generalization.

Findings

Estimated variation rates of physical constants over cosmic time.

Derived a deceleration parameter consistent with supernova observations.

Provided a theoretical framework connecting fundamental constants and cosmological evolution.

Abstract

By employing Dirac LNH, and a further generalization by Berman (GLNH), we estimate how should vary the total number of nucleons, the energy density, Newton Gravitational constant, the cosmological constant, the magnetic permeability and electric permitivity, of the Universe,in order to account for the experimentally observed time variation of the fine structure constant. As a bonus,we find an acceptable value for the deceleration parameter of the present Universe, compatible with the Supernovae observations.