| viXra.org > High Energy Particle Physics > viXra:1604.0382 |
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| viXra.org > High Energy Particle Physics > viXra:1604.0382 |
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High Energy Particle Physics |
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Authors: Vladimir Dzhunushaliev
Small nonassociative corrections for the SUSY operators $Q_{a, \dot a}$ are considered. The smallness is controlled by the ratio of the Planck length and a characteristic length $\ell_0 = \Lambda^{-1/2}$. Corresponding corrections of the momentum operator arising from the anticommutator of the SUSY operators are considered. The momentum operator corrections are defined via the anticommutator of the unperturbed SUSY operators $Q_{a, \dot a}$ and nonassociative corrections $Q_{1, a, \dot a}$. Choosing different anticommutators, one can obtain either a modified or $q$ -- deformed commutator of position $x^\mu$ and momentum operators $P_\nu$.
Comments: 4 Pages.
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[v1] 2016-04-29 23:55:14
[v2] 2016-08-17 04:18:18
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