Nilpotent Fuzz
arXiv:0708.1557 · doi:10.1016/S0034-4877(08)80011-0
Abstract
We present a construction of the formalism where fundamental variables are nilpotent, but in contrast to the supermathematics, commutative. This gives another possibility to realize classically the Pauli exclusion principle. We sketch the relevant formalism and discuss simple model of the nilpotent oscillator to illustrate the generalized nilpotent mechanics.
arXiv comment10 pages, no figures, talk given at the XVIth International Colloquium on Integrable Systems and Quantum symmetries (ISQS-16), Prague 2007. New references added. Properties of the first order nilpotent curves given
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