Dimensional scaffolding of electromagnetism using geometric algebra

DOI10.1088/1361-6404/abaf62zbMath1520.78008arXiv2004.06655OpenAlexW3017351337MaRDI QIDQ6105729

Unnamed Author, Jorge Mira

Publication date: 9 June 2023

Published in: European Journal of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.06655

zbMATH Keywords

geometric calculusgeometric algebraelectromagnetismspacetime dimensionsalgebraic dimensions

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Clifford algebras, spinors (15A66) Exterior algebra, Grassmann algebras (15A75) Foundations in optics and electromagnetic theory (78A02) Applications of Clifford algebras to physics, etc. (15A67)

Related Items (2)

Relativistic velocity addition from the geometry of momentum space ⋮ Light propagation in ( 2+1 )-dimensional electrodynamics: the case of nonlinear constitutive laws

Cites Work

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• Clifford algebra to geometric calculus. A unified language for mathematics and physics
• A survey of geometric algebra and geometric calculus
• The construction of spinors in geometric algebra
• Multivector calculus
• Complex representation theory of the electromagnetic field
• Historical roots of gauge invariance
• Significance of Electromagnetic Potentials in the Quantum Theory
• Distributions and Operators
• Archimedes meets Einstein: a millennial geometric bridge
• The role of the Riemann–Silberstein vector in classical and quantum theories of electromagnetism
• Conformal Geometry, Euclidean Space and Geometric Algebra
• The geometry of Minkowski spacetime. An introduction to the mathematics of the special theory of relativity
• Foundations of classical electrodynamics. Charge, flux, and metric

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