Möbius Mirrors
arXiv:2108.07451 · doi:10.1088/1361-6382/ac60c3
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 -symmetric ones, mapping from the eternally thermal mirror to the de Sitter horizon, and different boundary motions corresponding to Kerr or Schwarzschild black holes.
10 pages, 4 figures, appendix
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Cited by in corpus (7)
- Accelerated electron thermometer: observation of 1D Planck radiation
- Relativistic quantum information as radiation reaction: entanglement entropy and self-force of a moving mirror analog to the CGHS black hole
- Extreme electron acceleration with fixed radiation energy
- Thermal Larmor radiation
- Upon the horizon's verge: Thermal particle creation between and approaching horizons
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- Through the Looking-Glass, and What AdS Found There: quantum particle production with a Whittaker spectrum