Non-Commutative Worlds and Classical Constraints
Abstract
This paper reviews results about discrete physics and non-commutative worlds and explores further the structure and consequences of constraints linking classical calculus and discrete calculus formulated via commutators. In particular we review how the formalism of generalized non-commutative electromagnetism follows from a first order constraint and how, via the Kilmister equation, relationships with general relativity follow from a second order constraint. It is remarkable that a second order constraint, based on interlacing the commutative and non-commutative worlds, leads to an equivalent tensor equation at the pole of geodesic coordinates for general relativity.
Cite
@article{arxiv.1109.1085,
title = {Non-Commutative Worlds and Classical Constraints},
author = {Louis H. Kauffman},
journal= {arXiv preprint arXiv:1109.1085},
year = {2018}
}
Comments
LaTeX document, 30 pages. arXiv admin note: text overlap with arXiv:quant-ph/0503198, arXiv:quant-ph/0303058, arXiv:quant-ph/0403012