Localizability in $\kappa$-Minkowski Spacetime

Fedele Lizzi; Flavio Mercati; Mattia Manfredonia

Localizability in $\kappa$-Minkowski Spacetime

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arxiv 1912.07098 v1 pith:RXJUTIZL submitted 2019-12-15 hep-th gr-qcmath-phmath.MPquant-ph

Fedele Lizzi , Mattia Manfredonia , Flavio Mercati This is my paper · ORCID

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abstract

Using the methods of ordinary quantum mechanics we study $\kappa$-Minkowski space as a quantum space described by noncommuting self-adjoint operators, following and enlarging arXiv:1811.08409. We see how the role of Fourier transforms is played in this case by Mellin transforms. We briefly discuss the role of transformations and 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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