2006/01/11 by José B. Almeida, Jose B. Almeida, Almeida, Jose B.
Mathematics · Physics and Astronomy · #81Q99 #83D05 #Algebraic and Geometric Analysis #FOS: Physical sciences #General Physics (physics.gen-ph) #Noncommutative and Quantum Gravity Theories #Relativity and Gravitational Theory #msc:81Q99 #msc:83D05 #physics.gen-ph
paper · pdf · doi:10.48550/arxiv.physics/0601078
13 pages
arxiv created 2006/01/11 · openalex publication_date 2006/01/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Monogenic functions are functions of null vector derivative and are here analysed in the geometric algebra of 5-dimensional spacetime, G(4,1), in order to derive several laws of fundamental physics. The paper introduces the working algebra and the definition of monogenic functions, showing that these generate two 4-dimensional spaces, one with Euclidean signature and the other one with Minkowski signature. The equivalence conditions between the two spaces are studied and relativistic dynamics, not entirely coincident with Einstein's general theory of relativity, is demonstrated. The monogenic condition is then shown to produce Maxwell's equations and electrodynamics both classical and quantized.