The Principle of Equivalence and Electromagnetism

TL;DR

This paper explores unifying gravity and electromagnetism through a novel approach involving mixed commuting and anti-commuting coordinates, deriving Maxwell's equations from space-time curvature, and interpreting quantum uncertainty via anti-commuting components.

Contribution

It introduces a new framework combining commuting and anti-commuting coordinates to unify gravitation and electromagnetism, deriving Maxwell's equations from this geometric perspective.

Findings

Maxwell's equations derived from anti-commuting space-time curvature

Different coupling constants explained by space-time expansion

Quantum uncertainty linked to anti-commuting space-time component

Abstract

The problem of unification of Gravitation and Electromagnetism in four dimensions; some new ideas involving mixtures of commuting and anti-commuting co-ordinates. Maxwell's equations are extracted in terms of the curvature of the anti-commuting component of space-time. The profound difference in the size of the coupling constants of the two forces is interpreted in terms of the degree of expansion of the two kinds of space-time with evolution of the universe. Uncertainty in the quantum realm is interpreted in terms of an unmeasurable component of anti-commuting space-time.