Abstract
The Very Special Relativity (VSR) introduced by Cohen and Glashow [16] has a robust mathematical realization on noncommutative space-time, in particular on noncommutative Moyal plane, with light-like noncommutativity [35]. The realization is essentially connected to the twisted Poincaré algebra and its role as symmetry of noncommutative space-time and the corresponding quantum field theories [11, 12]. In our setting the VSR invariant theories are specified with a single deformation parameter, the noncommutativity scale\(\Lambda_{NC}\) Preliminary analysis with the available data leads to \(\Lambda_{NC} \geq 1 - 10\) Te V
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Sheikh-Jabbari, M.M., Tureanu, A. (2011). Very Special Relativity and Noncommutative Space-Time. In: Odintsov, S., SĂ¡ez-GĂ³mez, D., XambĂ³-Descamps, S. (eds) Cosmology, Quantum Vacuum and Zeta Functions. Springer Proceedings in Physics, vol 137. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-19760-4_28
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