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Doran, C. and Lasenby, A. (2003) Geometric Algebra for Physicists. Cambridge University Press.

has been cited by the following article:

• TITLE: The Electromagnetic Field Strength and the Lorentz Force in Geometric Algebra Cl3,0

  AUTHORS: Jesús Sánchez

  KEYWORDS: Geometric Algebra, Covariant Formulation of Classical Electromagnetism, Electromagnetic Field Strength, Lorentz Force, Electromagnetic Trivector

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.13 No.6, June 18, 2025

  ABSTRACT: In this paper, it will be calculated the electromagnetic field strength and the Lorentz force in Geometric Algebra Cl3,0. And it will be compared with their equivalent in the tensor covariant formalism. Also, four extra equations not appearing in the classical formalism will be obtained and its meaning will be explained. In the same way, the electromagnetic Field strength elements and the velocity multivector of the particle will be expanded. New equations and new elements appearing will be explained, being the most important one, the Electromagnetic trivector B xyz . A field to be added to the magnetic (bivector-like) and electric (vector-like) fields. Lastly, an insight of the possible implications of these learnings in the Dirac Equation will be commented.