There and Back Again: Quantum Radiation from Round-trip Flying Mirrors

Fuente: arXiv
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Bibliographic Details
Main Authors: Mujtaba, Ahsan, Ievlev, Evgenii, Gorban, Matthew J., Good, Michael R. R.
Format: Preprint
Published: 2024
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author Mujtaba, Ahsan
Ievlev, Evgenii
Gorban, Matthew J.
Good, Michael R. R.
author_facet Mujtaba, Ahsan
Ievlev, Evgenii
Gorban, Matthew J.
Good, Michael R. R.
contents Erasing a black hole leaves spacetime flat, so light passing through the region before any star forms and after black hole's evaporation shows no time delay, just like a flying mirror that returns to its initial starting point. Quantum radiation from a round-trip flying mirror has not been solved despite the model's mathematical simplicity and physical clarity. Here, we solve the particle creation from worldlines that asymptotically start and stop at the same spot, resulting in interesting spectra and symmetries, including the time dependence of thermal radiance associated with Bose-Einstein and Fermi-Dirac Bogolubov coefficients. Fourier analysis, intrinsically linked to the Bogolubov mechanism, shows that a thermal Bogolubov distribution does not describe the spin statistics of the quantum field.
format Preprint
id arxiv_https___arxiv_org_abs_2411_03521
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle There and Back Again: Quantum Radiation from Round-trip Flying Mirrors
Mujtaba, Ahsan
Ievlev, Evgenii
Gorban, Matthew J.
Good, Michael R. R.
Quantum Physics
General Relativity and Quantum Cosmology
High Energy Physics - Theory
Erasing a black hole leaves spacetime flat, so light passing through the region before any star forms and after black hole's evaporation shows no time delay, just like a flying mirror that returns to its initial starting point. Quantum radiation from a round-trip flying mirror has not been solved despite the model's mathematical simplicity and physical clarity. Here, we solve the particle creation from worldlines that asymptotically start and stop at the same spot, resulting in interesting spectra and symmetries, including the time dependence of thermal radiance associated with Bose-Einstein and Fermi-Dirac Bogolubov coefficients. Fourier analysis, intrinsically linked to the Bogolubov mechanism, shows that a thermal Bogolubov distribution does not describe the spin statistics of the quantum field.
title There and Back Again: Quantum Radiation from Round-trip Flying Mirrors
topic Quantum Physics
General Relativity and Quantum Cosmology
High Energy Physics - Theory
url https://arxiv.org/abs/2411.03521