dorsal/arxiv
View SchemaMonogenic functions in 5-dimensional spacetime used as first principle: gravitational dynamics, electromagnetism and quantum mechanics
| Authors | Jose B. Almeida |
|---|---|
| Categories | |
| ArXiv ID | physics/0601078 |
| URL | https://arxiv.org/abs/physics/0601078 |
Abstract
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.
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"abstract": "Monogenic functions are functions of null vector derivative and are here\nanalysed in the geometric algebra of 5-dimensional spacetime, G(4,1), in order\nto derive several laws of fundamental physics. The paper introduces the working\nalgebra and the definition of monogenic functions, showing that these generate\ntwo 4-dimensional spaces, one with Euclidean signature and the other one with\nMinkowski signature. The equivalence conditions between the two spaces are\nstudied and relativistic dynamics, not entirely coincident with Einstein\u0027s\ngeneral theory of relativity, is demonstrated. The monogenic condition is then\nshown to produce Maxwell\u0027s equations and electrodynamics both classical and\nquantized.",
"arxiv_id": "physics/0601078",
"authors": [
"Jose B. Almeida"
],
"categories": [
"physics.gen-ph"
],
"title": "Monogenic functions in 5-dimensional spacetime used as first principle: gravitational dynamics, electromagnetism and quantum mechanics",
"url": "https://arxiv.org/abs/physics/0601078"
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