Octonionic Electrodynamics

2005/12/31 by Merab Gogberashvili · 6 citations
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Noncommutative and Quantum Gravity Theories #Quantum Mechanics and Applications #gr-qc #hep-th #math-ph #math.MP #math.RA

paper · pdf · doi:10.1088/0305-4470/39/22/020

published as J.Phys.A39:7099-7104,2006 · The version accepted by J. Phys. A

arxiv created 2006/04/13 · openalex publication_date 2006/05/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

Dirac's operator and Maxwell's equations in vacuum are derived in the algebra of split octonions. The approximations are given which lead to classical Maxwell-Heaviside equations from full octonionic equations. The non-existence of magnetic monopoles in classical electrodynamics is connected with the using of associativity limit.

Citations

• Relativity in space-times with short-distance structure governed by an observer-independent (Planckian) length scale

Cited by

• Toy Models of a Nonassociative Quantum Mechanics
• Generalized Octonion Electrodynamics
• The Third Order Jacobsthal Octonions: Some Combinatorial Properties
• Rotations in the Space of Split Octonions
• Split quaternions and particles in (2+1)-space
• Split-octonion [wikipedia]