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Particle velocity in noncommutative space-time

Takashi Tamaki·Tomohiro Harada·Umpei Miyamoto·Takashi Torii
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Abstract

We investigate a particle velocity in the $κ$-Minkowski space-time, which is one of the realization of a noncommutative space-time. We emphasize that arrival time analyses by high-energy $γ$-rays or neutrinos, which have been considered as powerful tools to restrict the violation of Lorentz invariance, are not effective to detect space-time noncommutativity. In contrast with these examples, we point out a possibility that {\it low-energy massive particles} play an important role to detect it.

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Takashi Tamaki, Tomohiro Harada, Umpei Miyamoto, Takashi Torii. 2002-09-11. Particle velocity in noncommutative space-time. https://doi.org/10.1103/physrevd.66.105003

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