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arXiv · 0903.5251

Classical basis for kappa-Poincare algebra and doubly special relativity theories

A. Borowiec·A. Pachol
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Abstract

Several issues concerning quantum kappa-Poincare algebra are discussed and reconsidered here. We propose two different formulations of kappa-Poincare quantum algebra. Firstly we present a complete Hopf algebra formulae of kappa-Poincare in classical Poincare basis. Further by adding one extra generator, which modifies the classical structure of Poincare algebra, we eliminate non polynomial functions in the kappa-parameter. Hilbert space representations of such algebras make Doubly Special Relativity (DSR) similar to the Stueckelberg's version of (proper-time) relativistic Quantum Mechanics.

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A. Borowiec, A. Pachol. 2010-01-07. Classical basis for kappa-Poincare algebra and doubly special relativity theories. https://doi.org/10.1088/1751-8113/43/4/045203

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