Mathematical Physics

   

Deformed Lie Products in a 4D Space Isotropic Electromagnetic Fields

Authors: Thierry L. A. Periat

In a previous work, the simplest decomposition without residual part of a generic deformed Lie product f has been interpreted as the representation of a (2, 0) version of some EM field in M(4, C). This document (in the French language) is precising the conditions of validity for this interpretation. It proves: (i) that isotropic EM fields are compatible with it; (ii) again, the existence of Lie algebras; (iii) that the passage between the simplest decomposition of f and the antisymmetric decomposition of (f o f) (both without residual part) is an EM transition involving isotropic EM fields presumably linked with natural electromagnetic oscillations in Maxwell's vacuum. Since their effective nature remains to be identified, one is pushed to propose a new interpretation for f involving the dual representation of any EM field.Key words: representations of the EM fields, Lie algebras, evolution.

Comments: 44 Pages. In the French language

Download: PDF

Submission history

[v1] 2025-07-31 15:50:58

Unique-IP document downloads: 144 times

Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.

comments powered by Disqus