From Snyder space-times to doubly κ-dependent Yang quantum phase spaces and their generalizations

Lukierski, Jerzy; Meljanac, Stjepan; Mignemi, Salvatore; Pachoł, Anna; Woronowicz, Mariusz (2024) From Snyder space-times to doubly κ-dependent Yang quantum phase spaces and their generalizations. Physics Letters B, 854 . ISSN 03702693

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Abstract

We propose the doubly K-dependent Yang quantum phase space which describes the generalization of D = 4 Yang model. We postulate that such model is covariant under the generalized Born map, what permits to derive this new model from the earlier proposed K-Snyder model. Our model of D = 4 relativistic Yang quantum phase space depends on five deformation parameters which form two Born map-related dimensionful pairs: (M, R) specifying the standard Yang model and (K, K) characterizing the Born-dual K-dependence of quantum spacetime and quantum fourmomenta sectors; fifth parameter p is dimensionless and Born-selfdual. In the last section, we propose the Kaluza-Klein generalization of D = 4 Yang model and the new quantum Yang models described algebraically by quantum-deformed & ocirc;(1, 5) algebras.

Item Type:	Article
Uncontrolled Keywords:	noncommutative geometry; poincare
Subjects:	NATURAL SCIENCES > Physics NATURAL SCIENCES > Physics > Astronomy and Astrophysics
Divisions:	Theoretical Physics Division
Depositing User:	Ema Buhin Šaler
Date Deposited:	16 Apr 2026 08:16
URI:	http://fulir.irb.hr/id/eprint/11726
DOI:	10.1016/j.physletb.2024.138729

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