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Faculty of Science, University of Split, Rudjera Boškovića 33, 21000 Split, Croatia

Stjepan Meljanac

https://orcid.org/0000-0002-8601-6577

Rudjer Bošković Institute, Theoretical Physics Division, Bijenička c. 54, HR 10002 Zagreb, Croatia

E-mail Address: meljanac@irb.hr

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Salvatore Mignemi

https://orcid.org/0000-0002-0683-0078

Dipartimento di Matematica, Università di Cagliari via Ospedale 72, 09124 Cagliari, Italy

INFN, Sezione di Cagliari, Cittadella Universitaria, 09042 Monserrato, Italy

E-mail Address: smignemi@unica.it

Corresponding author.

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https://doi.org/10.1142/S0217751X25500277Cited by:0 (Source: Crossref)

Abstract

Triply Special Relativity is a deformation of Special Relativity based on three fundamental parameters that describes a noncommutative geometry on a curved space–time, preserving the Lorentz invariance and the principle of relativity. Its symmetries are generated by a 14-parameter nonlinear algebra. In this paper, we discuss a generalization of the original model and construct its realizations on a canonical phase space. We also investigate in more detail its classical limit, obtained by replacing the commutators by Poisson brackets.

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