Mathematical Physics

    

Gauge Invariance in Counting and Combinatorics

Authors: Koustubh Kabe

There is perhaps no part of mathematics that is more intimately connected with everyday experiences than probability theory and statistics. The element of chance dominates the physical world. Probability is the heart of physics, in particular — quantum physics. At the probability theory lies combinatorics. We make an observation in the combination of n objects taken r objects at a time. We find a sort of combinatorial gauge invariance hidden there in that the combination of �� objects taken �� at a time or �� − �� at a time is the same. It has been argued that the Pauli Exclusion Principle is not a principle or cause at all; rather it is an effect of the combinatorics which essentially delivers the Fermi Dirac Statistics. We explore the consequent applications in quantum mechanics and field theory with particle statistics.

Comments: 7 Pages. This paper explores a new kind of gauge invariance that makes its appearance in counting and combinatorics.

Download: PDF

Submission history

[v1] 2023-06-10 16:17:32

Unique-IP document downloads: 123 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