Möbius mirrors

Michael R.R. Good; Eric V. Linder

doi:10.1088/1361-6382/ac60c3

Möbius mirrors

Michael R.R. Good
, Eric V. Linder

Nazarbayev University
Lawrence Berkeley National Laboratory

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

An accelerating boundary (mirror) acts as a horizon and black hole analog, radiating energy with some particle spectrum. We demonstrate that a Möbius transformation on the null coordinate advanced time mirror trajectory uniquely keeps invariant not only the energy flux but the particle spectrum. We clarify how the geometric entanglement entropy is also invariant. The transform allows generation of families of dynamically distinct trajectories, including PT -symmetric ones, mapping from the eternally thermal mirror to the de Sitter horizon, and different boundary motions corresponding to Kerr or Schwarzschild black holes.

Original language	English
Article number	105003
Journal	Classical and Quantum Gravity
Volume	39
Issue number	10
DOIs	https://doi.org/10.1088/1361-6382/ac60c3
Publication status	Published - May 19 2022

Funding

MG acknowledges funding from the state-targeted program ‘Center of Excellence for Fundamental and Applied Physics’ (BR05236454) by the Ministry of Education and Science of the Republic of Kazakhstan, and the FY2021-SGP-1-STMM Faculty Development Competitive Research Grant No. 021220FD3951 at Nazarbayev University. This work is supported in part by the Energetic Cosmos Laboratory. EL is supported in part by the US Department of Energy, Office of Science, Office of High Energy Physics, under Contract No. DE-AC02-05CH11231.

Funders	Funder number
Energetic Cosmos Laboratory Project Group
U.S. Department of Energy, Office of Science
U.S. Department of Energy, Office of Science
Institute for High Energy Physics	DE-AC02-05CH11231
Ministry of Education and Science of the Republic of Kazakhstan	021220FD3951
Nazarbayev University

Keywords

dynamical Casimir effect
Hawking radiation
moving mirrors

ASJC Scopus subject areas

Physics and Astronomy (miscellaneous)

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10.1088/1361-6382/ac60c3

Cite this

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AB - An accelerating boundary (mirror) acts as a horizon and black hole analog, radiating energy with some particle spectrum. We demonstrate that a Möbius transformation on the null coordinate advanced time mirror trajectory uniquely keeps invariant not only the energy flux but the particle spectrum. We clarify how the geometric entanglement entropy is also invariant. The transform allows generation of families of dynamically distinct trajectories, including PT -symmetric ones, mapping from the eternally thermal mirror to the de Sitter horizon, and different boundary motions corresponding to Kerr or Schwarzschild black holes.

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KW - Hawking radiation

KW - moving mirrors

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UR - https://www.scopus.com/pages/publications/85130745865#tab=citedBy

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Möbius mirrors

Abstract

Funding

Keywords

ASJC Scopus subject areas

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