Manfredonia, Mattia (2020) Observers and Momenta in κ-Minkowski space-time. [Tesi di dottorato]
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| Tipologia del documento: | Tesi di dottorato |
|---|---|
| Lingua: | English |
| Titolo: | Observers and Momenta in κ-Minkowski space-time |
| Autori: | Autore Email Manfredonia, Mattia mattia.manfredonia91@gmail.com |
| Data: | 11 Marzo 2020 |
| Numero di pagine: | 114 |
| Istituzione: | Università degli Studi di Napoli Federico II |
| Dipartimento: | Fisica |
| Dottorato: | Fisica |
| Ciclo di dottorato: | 32 |
| Coordinatore del Corso di dottorato: | nome email Capozziello, Salvatore salvatore.capozziello@unina.it |
| Tutor: | nome email Lizzi, Fedele [non definito] Mercati, Flavio [non definito] |
| Data: | 11 Marzo 2020 |
| Numero di pagine: | 114 |
| Parole chiave: | k-Minkowski; quantum Groups; Hopf Algebras; k-Poincaré; Quantum Gravity; Physics; High Energy Physics; Theoretical Physics |
| Settori scientifico-disciplinari del MIUR: | Area 02 - Scienze fisiche > FIS/02 - Fisica teorica, modelli e metodi matematici |
| Depositato il: | 31 Mar 2020 16:14 |
| Ultima modifica: | 10 Nov 2021 09:49 |
| URI: | http://www.fedoa.unina.it/id/eprint/13085 |
Abstract
We study the limits to the localizability and the role of observers in κ-Minkowski quantum spacetime. Inspired by Quantum Mechanincs, we develop an interpretations of the non-commutativity in coordinates and of the deformations of transformation between observers. Space-time coordinates are operators on a Hilbert space. The transformation between the complete sets is realized by Mellin transform. Transformation rules between inertial observers are described by the quantum κ-Poincaré group. There are restrictions on the observer possibility to localize events. We also discuss the geometry of the curved momentum space dual to k-Minkowski coordinates, which turns out to be not unique. It can have any signature: Euclidean, Lorentzian, and (+,+,-,-), as well as degenerate cases. For any choice of a four dimensional metric there is a quantum group of symmetries of κ-Minkowski preserving it. We associate a momentum space to each nondegenerate choice of such metric. These momentum spaces are all maximally symmetric, and the isotropy subgroup of their isometries coincides with the homogeneous part of the quantum group. We also discuss the degenerate cases."
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