Fine Structure Constant and Fractal Potential

TL;DR

This paper investigates how the fine structure constant varies with changes in the speed of light, considering vacuum properties and fractal space-time structures, revealing a complex dependence on fractal velocity fields.

Contribution

It introduces a novel approach linking fractal potential and non-differentiable space-time to the variation of the fine structure constant.

Findings

Fine structure constant variation depends on fractal velocity fields.

Vacuum permeability and permittivity are influenced by fractal potential.

Time variation of α is linked to fractal space-time characteristics.

Abstract

The variation of fine structure constant with the variation of velocity of light has been studied considering contribution to the permeability and permittivity of the vacuum and incorporating contribution of fractal potential originated from the non-differentiability of fractal fluctuation. The time variation of $\alpha$ is found to depend on the complex velocity field characteristics of fractal nature of space time.