Distance Measurement and $κ$-Deformed Propagation of Light and Heavy Probes

Details Distance Measurement and $κ$-Deformed Propagation of Light and Heavy Probes Distance Measurement and $κ$-Deformed Propagation of Light and Heavy Probes

1999-03-17

arxiv.org/abs/gr-qc/9903066v1

Int.J.Mod.Phys. A14 (1999) 4575-4588

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages, Latex, to appear in Int. J. Mod. Phys. A

Scientific paper

10.1142/S0217751X99002141

We investigate the implications for the measurability of distances of a covariant dimensionful ``$\kappa$'' deformation of D=4 relativistic symmetries, with quantum time coordinate and modified Heisenberg algebra. We show that the structure of the deformed mass-shell condition has significant implications for measurement procedures relying on light probes, whereas in the case of heavy probes the most sizeable effect is due to the nontrivial commutation relation between three-momenta and quantum time coordinate. We argue that these findings might indicate that $\kappa$-Poincar\'e symmetries capture some aspects of the physics of the Quantum-Gravity vacuum.

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