Localization and observers in $\varrho$-Minkowski spacetime

Fedele Lizzi; Luca Scala; Patrizia Vitale

Localization and observers in $\varrho$-Minkowski spacetime

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arxiv 2205.10862 v2 pith:GPCXQHPS submitted 2022-05-22 hep-th math-phmath.MPmath.QA

Fedele Lizzi , Luca Scala , Patrizia Vitale This is my paper · ORCID

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keywords quantumvarrhominkowskiobserversspacetimeanalyseangleazimuthal

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abstract

We consider the $\varrho$-Minkowski spacetime, a model with linear noncommutativity involving the time and the azimuthal angle. We study its quantum symmetries, the $\varrho$-Poincar\'e quantum group, and analyse the concepts of localizability and quantum observers.

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Doubly Quantum Mechanics
quant-ph 2024-12 conditional novelty 6.0 of 10

Replacing SU(2) with SU_q(2) turns measurement probabilities into operators and makes reference-frame alignment between two observers fundamentally imprecise even in the limit of infinitely many exchanged spins.

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