TITLE:
Gauge Formulation of Heaviside’s Equations
AUTHORS:
Edwin Eugene Klingman
KEYWORDS:
Gauge Theory of Gravity, Linearized Gravity, Heaviside Equations, Yang-Mills Gauge, Geometric Algebra
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.10 No.7,
July
28,
2022
ABSTRACT: A primordial field Self-interaction Principle, analyzed in Hestenes’ Geometric Calculus, leads to Heaviside’s equations of the gravitomagnetic field. When derived from Einstein’s nonlinear field equations Heaviside’s “linearized” equations are known as the “weak field approximation”. When derived from the primordial field equation, there is no mention of field strength; the assumption that the primordial field was predominant at the big bang rather suggests that ultra-strong fields are governed by the equations. This aspect has physical significance, so we explore the assumption by formulating the gauge field version of Heaviside’s theory. We compare with recent linearized gravity formulations and discuss the significance of differences.