A New Formulation of Maxwell’s Equations in Clifford Algebra

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.

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A New Formulation of Maxwell’s Equations in Clifford Algebra

Abstract: A new unification of the Maxwell equations is given in the domain of Clifford algebras with

Cited by 2 publications

References 10 publications

Solutions of Inhomogeneous Perturbed Generalized Moisil–Teodorescu System and Maxwell’s Equations in Euclidean Space

Solutions of Inhomogeneous Perturbed Generalized Moisil–Teodorescu System and Maxwell’s Equations in Euclidean Space

Gauge Formulation of Heaviside’s Equations

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