Choice of the best geometry to explain physics
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 5dimensional 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 4dimensional space, providing a different point of view to physics, from which one has an unusual and enriching perspective.
 Publication:

arXiv eprints
 Pub Date:
 October 2005
 DOI:
 10.48550/arXiv.physics/0510179
 arXiv:
 arXiv:physics/0510179
 Bibcode:
 2005physics..10179A
 Keywords:

 Physics  General Physics
 EPrint:
 4 pages