Noncommutativity and Discrete Physics

Details Noncommutativity and Discrete Physics Noncommutativity and Discrete Physics

1997-09-07

arxiv.org/abs/q-alg/9709012v1

Mathematics

Quantum Algebra

LaTeX, 23 pages, no figures

Scientific paper

10.1016/S0167-2789(98)00049-9

The purpose of this paper is to present an introduction to a point of view for discrete foundations of physics. In taking a discrete stance, we find that the initial expression of physical theory must occur in a context of noncommutative algebra and noncommutative vector analysis. In this way the formalism of quantum mechanics occurs first, but not necessarily with the usual interpretations. The basis for this work is a non-commutative discrete calculus and the observation that it takes one tick of the discrete clock to measure momentum.

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