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Entropy, Vol. 20, Pages 483: Non-Commutative Worlds and Classical Constraints

Entropy, Vol. 20, Pages 483: Non-Commutative Worlds and Classical Constraints

Entropy doi: 10.3390/e20070483

Authors: Louis H. Kauffman

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.

Authors:   Kauffman, Louis H.
Journal:   Entropy
Volume:   20
edition:   7
Year:   2018
Pages:   483
DOI:   10.3390/e20070483
Publication date:   21-Jun-2018
Facts, background information, dossiers
  • relativity
  • entropy
  • paper
  • electromagnetism
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