Speaker
Description
Quantum gravity and quantum information both call for a generalization of reference frame transformations. In quantum gravity, quantum groups naturally implement such generalization in some noncommutative spacetimes. In quantum mechanics, the concept of quantum reference frame emerged when linking reference frames to quantum systems. The connection between quantum groups and quantum reference frame transformations could then provide a deeper understanding of the relation between the quantization of observers and the quantization of spacetime.
In this talk, I will present the correspondence between quantum reference frame transformations and transformations generated by a quantum deformation of the Galilei Lie group with commutative time, at first order in the quantum deformation parameter. This correspondence is made explicit once the quantum group noncommutative transformation parameters are represented on the phase space of a quantum particle, provided that the quantum deformation parameter is inversely proportional to the mass of the particle serving as the quantum reference frame.
| Working Group | WG5 - Connection between low-energy and high-energy quantum gravity |
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