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Noncommutative geometry of the quantum clock |
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| Authors: | S Mignemi N Uras |
| Institution: | 1. Dipartimento di Matematica e Informatica, Università di Cagliari, viale Merello 92, 09123 Cagliari, Italy;2. INFN, Sezione di Cagliari, Cittadella Universitaria, 09042 Monserrato, Italy |
| Abstract: | We introduce a model of noncommutative geometry that gives rise to the uncertainty relations recently derived from the discussion of a quantum clock. We investigate the dynamics of a free particle in this model from the point of view of doubly special relativity and discuss the geodesic motion in a Schwarzschild background. |
| Keywords: | Generalized uncertainty relations Doubly special relativity Noncommutative geometry |
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