A possible fundamental explanation of electroweak unification

TL;DR

This paper proposes a fundamental explanation for electroweak unification using distribution theory and nonlinear generalized functions, deriving electromagnetic and weak interaction potentials from causal intervals.

Contribution

It introduces a novel theoretical framework applying distribution theory to unify electromagnetic and weak interactions through causal intervals.

Findings

Derives electromagnetic and weak potentials from causal intervals

Provides a physical interpretation within nonlinear generalized functions

Suggests a fundamental basis for electroweak unification

Abstract

Electroweak unification is implied by the local structure theorem of distribution theory applied to the causal interval R=X-Z between two space-time points X and Z. Taking R as generating function, the potentials of the electromagnetic and weak interactions are obtained by applying the causal d'Alembertian operator on R, and both potentials can be given a proper physical interpretation provided all calculations are made in the context of nonlinear generalized functions.