Fuzzy Schwarzschild (2+1)-spacetime
| Autor: | David Viennot |
|---|---|
| Přispěvatelé: | Univers, Transport, Interfaces, Nanostructures, Atmosphère et environnement, Molécules (UMR 6213) (UTINAM), Université de Franche-Comté (UFC), Université Bourgogne Franche-Comté [COMUE] (UBFC)-Université Bourgogne Franche-Comté [COMUE] (UBFC)-Centre National de la Recherche Scientifique (CNRS)-Institut national des sciences de l'Univers (INSU - CNRS) |
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
High Energy Physics - Theory
dimension: 3 toy model FOS: Physical sciences space: noncommutative General Relativity and Quantum Cosmology (gr-qc) fermion: interaction space: internal General Relativity and Quantum Cosmology horizon time: quantization structure Mathematical Physics tunneling: quantum effect: decoherence [PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th] coherent state deformation Statistical and Nonlinear Physics Schwarzschild space-time: fuzzy High Energy Physics - Theory (hep-th) black hole: fuzzy wormhole [PHYS.GRQC]Physics [physics]/General Relativity and Quantum Cosmology [gr-qc] Einstein |
| Popis: | We present a toy model of a fuzzy Schwarzschild space slice (as a noncommutative manifold), in which quantum mean values and quantum quasi-coherent states (states minimizing the quantum uncertainties) have properties close to the classical slice of ( r, θ) Schwarzschild coordinates (the so-called Flamm’s paraboloid). This fuzzy Schwarzschild slice is built as a deformation of the noncommutative plane. Quantum time observables are introduced to add a time quantization in the model. We study the structure of the quasi-coherent state of the fuzzy Schwarzschild slice with respect to the quasi-coherent state and the deformation states of the noncommutative plane. The quantum dynamics of a fermion interacting with a fuzzy black hole described by the present model is studied. In particular, we study the decoherence effects appearing in the neighborhood of the fuzzy event horizon. An extension of the model to describe a quantum wormhole is also proposed, where we show that fermions cross the wormhole not by traveling by its internal space but by quantum tunneling, in accordance with the non-traversable character of classical Einstein–Rosen bridges. |
| Databáze: | OpenAIRE |
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