Non-Commutative Worlds and Classical Constraints

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. View Full-Text / Download Paper

By Louis H. Kauffman

This abstract belongs to an article of the Special Issue "Emergent Quantum Mechanics – David Bohm Centennial Perspectives"

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