dorsal/arxiv
View SchemaChoice of the best geometry to explain physics
| Authors | Jose B. Almeida |
|---|---|
| Categories | |
| ArXiv ID | physics/0510179 |
| URL | https://arxiv.org/abs/physics/0510179 |
Abstract
Choosing the appropriate geometry in which to express the equations of fundamental physics can have a determinant effect on the simplicity of those equations and on the way they are perceived. The point of departure in this paper is the geometry of 5-dimensional spacetime, where monogenic functions are studied. Monogenic functions verify a very simple first order differential equation and the paper demonstrates how they generate the line interval of special relativity, as well as the Dirac equation of quantum mechanics. Monogenic functions act as a unifying principle between those two areas of physics, which is in itself very significant for the perception one has of them. Another consequence is the possibility of studying the same phenomena in Euclidean 4-dimensional space, providing a different point of view to physics, from which one has an unusual and enriching perspective.
{
"annotation_id": "d89c7fec-d278-4a2f-a260-746a5aaabee3",
"date_created": "2026-03-02T18:01:04.344000Z",
"date_modified": "2026-03-02T18:01:04.344000Z",
"file_hash": "9846536cabd050d2ee18f1bef086e2c09259fa71b7cd6c3db14fd25ed2522881",
"private": false,
"record": {
"abstract": "Choosing the appropriate geometry in which to express the equations of\nfundamental physics can have a determinant effect on the simplicity of those\nequations and on the way they are perceived. The point of departure in this\npaper is the geometry of 5-dimensional spacetime, where monogenic functions are\nstudied. Monogenic functions verify a very simple first order differential\nequation and the paper demonstrates how they generate the line interval of\nspecial relativity, as well as the Dirac equation of quantum mechanics.\nMonogenic functions act as a unifying principle between those two areas of\nphysics, which is in itself very significant for the perception one has of\nthem. Another consequence is the possibility of studying the same phenomena in\nEuclidean 4-dimensional space, providing a different point of view to physics,\nfrom which one has an unusual and enriching perspective.",
"arxiv_id": "physics/0510179",
"authors": [
"Jose B. Almeida"
],
"categories": [
"physics.gen-ph"
],
"title": "Choice of the best geometry to explain physics",
"url": "https://arxiv.org/abs/physics/0510179"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "92204543-34a6-483a-9f9c-ec36a0274e92",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}