Möbius mirrors


Good M.R.R. Linder E.V.
19 May 2022Institute of Physics

Classical and Quantum Gravity
2022#39Issue 10

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.

dynamical Casimir effect , Hawking radiation , moving mirrors

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Physics Department, Nazarbayev University, Nur-Sultan, 010000, Kazakhstan
Energetic Cosmos Laboratory, Nazarbayev University, Nur-Sultan, 010000, Kazakhstan
Berkeley Center for Cosmological Physics, Berkeley Lab, University of California, Berkeley, 94720, CA, United States

Physics Department
Energetic Cosmos Laboratory
Berkeley Center for Cosmological Physics

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