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- Title
Quantum Euler angles and agency-dependent space-time.
- Authors
Amelino-Camelia, G; D'Esposito, V; Fabiano, G; Frattulillo, D; Höhn, P A; Mercati, F
- Abstract
Quantum gravity is expected to introduce quantum aspects into the description of reference frames. Here we begin exploring how quantum gravity induced deformations of classical symmetries could modify the transformation laws among reference frames in an effective regime. We invoke the quantum group SU q (2) as a description of deformed spatial rotations and interpret states of a representation of its algebra as describing the relative orientation between two reference frames. This leads to a quantization of one of the Euler angles and to an aspect of agency dependence : space is reconstructed as a collection of fuzzy points, exclusive to each agent, which depends on their choice of reference frame. Each agent can choose only one direction in which points can be sharp, while points in all other directions become fuzzy in a way that depends on this choice. Two agents making different choices will thus observe the same points with different degrees of fuzziness.
- Subjects
EULER angles; SPACETIME; QUANTUM groups; REPRESENTATIONS of algebras; QUANTUM gravity
- Publication
Progress of Theoretical & Experimental Physics: PTEP, 2024, Vol 2024, Issue 3, p1
- ISSN
2050-3911
- Publication type
Article
- DOI
10.1093/ptep/ptae015