From: Basil Hiley
Date: Mon, Dec 19, 2022 at 6:06 AM
Subject: Re: squaring zero is noncommutative for the Dirac Operator?
Thank you for the Kauffman and Connes references. Just looked at Connes talk, very interesting! It shows how the non-commutative geometry produces discrete energy level structure. One day we will be able to obtain the rest mass spectrum of the ‘elementary’ particles using these ideas?
Always interested in Lou Kauffman’s work. I have been studying section 17 of his book “Knots and Physics”. He writes “With this interpretation of covariant derivative and parallel transport via Wilson loop, we can recover the gauge theoretical analog of curvature via parallel transport round a small loop”. That arises from the twist in the path which I have shown corresponds to the Coriolis energy hidden in Feynman paths! I haven’t yet been able to link it to gravitational entropy.
p. 23
thanks Professor Basil J. Hiley!!