Non-commutativeworlds and classical constraints

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

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.

Original languageEnglish
Article number483
Pages (from-to)1-25
Number of pages25
JournalEntropy
Volume20
Issue number7
DOIs
Publication statusPublished - 1 Jul 2018

Keywords

  • Bianchi identity
  • Commutator
  • Constraints
  • Curvature tensor
  • Diffusion constant
  • Discrete calculus
  • Iterant
  • Kilmister equation
  • Levi-Civita connection
  • MAXWELL EQUATIONS
  • diffusion constant
  • iterant
  • TIME
  • constraints
  • commutator
  • SPACE
  • discrete calculus
  • FEYNMANS PROOF
  • DISCRETE PHYSICS
  • QUANTUM-MECHANICS
  • curvature tensor

Fingerprint Dive into the research topics of 'Non-commutativeworlds and classical constraints'. Together they form a unique fingerprint.

Cite this