Noncommutativity and discrete physics.

DOI10.1016/S0167-2789(98)00049-9zbMath1040.81529arXivq-alg/9709012MaRDI QIDQ1586911

Louis H. Kauffman

Publication date: 20 November 2000

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/q-alg/9709012

zbMATH Keywords

Poisson bracketLeibniz ruleCommutatorSpin network

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Noncommutative geometry methods in quantum field theory (81T75) Topological field theories in quantum mechanics (81T45) Noncommutative geometry in quantum theory (81R60) General topics in optics and electromagnetic theory (78A99)

Related Items (8)

Glafka-2004: non-commutative worlds ⋮ Space–time geometry and the velocity of light ⋮ Space and momentum space noncommutativity: monopoles ⋮ Generalised uncertainty relations from superpositions of geometries ⋮ On extracting physical information from mathematical models of chaotic and complex systems ⋮ Lorenz-type controlled pendulum ⋮ Discrete systems of controlled pendulum type ⋮ Optimal chaos control and discretization algorithms

Cites Work

• Quantum field theory and the Jones polynomial
• Relativistic generalization and extension to the non-abelian gauge theory of Feynman's proof of the Maxwell equations
• Digital mechanics. An information process based on reversible universal cellular automata
• Discrete physics and the derivation of electromagnetism from the formalism of quantum mechanics
• State-Sum Invariants of 4-Manifolds
• Weaving a classical metric with quantum threads
• Clock and category: Is quantum gravity algebraic?
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