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Title: | On the Unruh effect in an effective Kleinian geometry |
Authors: | Filgueiras, Cleverson Brito, Luiz Cleber Tavares de Brito, Luiz Cleber Tavares de Búfalo, Rodrigo Santos Moraes, Fernando Jorge Sampaio |
Keywords: | Efeito Unruh Espaço Kleiniano Geometria não Lorentziana Unruh effect Kleinian space Non-Lorentzian geometry |
Issue Date: | 11-Aug-2022 |
Publisher: | Universidade Federal de Lavras |
Citation: | SANTOS, R. M. On the Unruh effect in an effective Kleinian geometry. 2022. 60 p. Dissertação (Mestrado em Física) - Universidade Federal de Lavras, Lavras, 2022. |
Abstract: | Direct experimental verification of the Unruh effect has eluded physicists for a long time. However, this scenario may be changing. Metamaterial analog systems may provide promising alternatives for the obser- vation of the Unruh effect. Furthermore, photons, in some of these systems, behave as if they were in a spacetime endowed with a Kleinian signature (+ +−−) — a Kleinian space. In this work, the Unruh effect in an effective geometry with a Kleinian signature arising from an anisotropic medium, such as a hyperbolic metamaterial, is investigated. The path integral approach to the Unruh effect is applied in the context of a background space with Kleinian signature, where problems arise. It is noted that any metamaterial analog system might be, in fact, mimicking a known physical phenomenon but in an exotic space-time where some established physical properties may break down. In the case of this work, an analog accelerated frame in Kleinian space is derived and an induced compactification of a timelike dimension as well as the absence of “wedges”, in contrast to what occurs in Rindler space, are observed. Although an analog Unruh effect in Kleinian space is not shown, some perspectives and alternatives are discussed. |
URI: | http://repositorio.ufla.br/jspui/handle/1/50929 |
Appears in Collections: | Física - Mestrado (Dissertações) |
Files in This Item:
File | Description | Size | Format | |
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DISSERTAÇÃO_On the Unruh effect in an effective Kleinian geometry.pdf | 708,96 kB | Adobe PDF | View/Open |
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