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Exclusion Principles as Restricted Permutation Symmetries

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Abstract

We give a derivation of exclusion principles for the elementary particles of the standard model, using simple mathematical principles arising from a set theory of identical particles. We apply the theory of permutation group actions, stating some theorems which are proven elsewhere, and interpreting the results as a heuristic derivation of Pauli's Exclusion Principle (PEP) which dictates the formation of elements in the periodic table and the stability of matter, and also a derivation of quark confinement. We arrive at these properties by using a symmetry property of collections of the particles themselves as compared for example to the symmetry property of their wave function under interchange of two particles.

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  1. School of Mathematical Sciences, Queen Mary, University of London, Mile End Road, London, E1 4NS, United Kingdom

    S. Tarzi

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Tarzi, S. Exclusion Principles as Restricted Permutation Symmetries. Foundations of Physics 33, 955–979 (2003). https://doi.org/10.1023/A:1025669511908

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