High Energy Particle Physics

   

On the Coupling Constants, Geometric Probability and Complex Domains

Authors: Carlos Castro

By recurring to Geometric Probability methods it is shown that the coupling constants, αEM, αW, αC, associated with the electromagnetic, weak and strong (color) force are given by the ratios of measures of the sphere S2 and the Shilov boundaries Q3 = S2 x RP1, squashed S5, respectively, with respect to the Wyler measure ΩWyler[Q4] of the Shilov boundary Q4 = S3 x RP1 of the poly-disc D4 (8 real dimensions). The latter measure ΩWyler[Q4] is linked to the geometric coupling strength αG associated to the gravitational force. In the conclusion we discuss briefly other approaches to the determination of the physical constants, in particular, a program based on the Mersenne primes p-adic hierarchy. The most important conclusion of this work is the role played by higher dimensions in the determination of the coupling constants from pure geometry and topology alone and which does not require to invoke the anthropic principle.

Comments: 9 pages, This article appeared in Progress in Physics vol. 2 April (2006) 46-53

Download: PDF

Submission history

[v1] 3 Sep 2009

Unique-IP document downloads: 293 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