Hawking radiation and Unruh radiation are physically equivalent phenomena.
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REFUTED
the evidence says no
refutedsupported
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Peer-reviewed literature demonstrates that detailed comparisons of Unruh and Hawking effects reveal discrepancies in their behaviors and measurements, indicating they are not physically equivalent phenomena.
We compare the response function of an Unruh-DeWitt detector for different space-times and different vacua and show that there is a detailed violation of the equivalence principle. In particular comparing the response of an accelerating detector to a detector at rest in a Schwarzschild space-time we find that both detectors register thermal radiation, but for a given, equivalent acceleration the fixed detector in the Schwarzschild space-time measures a higher temperature. This allows one to locally distinguish the two cases. As one approaches the horizon the two temperatures have the same limit so that the equivalence principle is restored at the horizon.
Abstract
The physical observables of quantum theory can be described by perturbation theory, which is often given by diverging power series. This divergence is connected to the existence of non-perturbative phenomena, where resurgence allows us to study this connection. Applying this idea to the WKB expansion, the exact WKB analysis gives a clear connection to non-perturbative phenomena. In this paper, we apply the exact WKB analysis to the Unruh effect and Hawking radiation. The mechanism we found in this paper is similar to the Schwinger effect of a constant electric field, where the background is static but the Stokes phenomenon appears in the temporal part. Comparing this with a sonic black hole, our calculations show a clear discrepancy between them. Then, we briefly explain how quantum backreactions can be included in the exact WKB formalism.
The Exact WKB analysis and the Stokes phenomena of the Unruh effect and Hawking radiation | Journal of High Energy Physics | Springer Nature Link Skip to main content Advertisement The Exact WKB analysis and the Stokes phenomena of the Unruh effect and Hawking radiation Regular Article - Theoretical Physics Open access Published: 07 December 2022 Volume 2022 , article number 37 ( 2022 ) Cite this article You have full access to this open access article Download PDF Save article View saved research Journal of High Energy Physics Aims and scope Submit manuscript The Exact WKB analysis and the Stokes phenomena of the Unruh effect and Hawking radiation Download PDF A bstract The physical observables of quantum theory can be described by perturbation theory, which is often given by diverging power series.
This divergence is connected to the existence of non-perturbative phenomena, where resurgence allows us to study this connection. Applying this idea to the WKB expansion, the exact WKB analysis gives a clear connection to non-perturbative phenomena. In this paper, we apply the exact WKB analysis to the Unruh effect and Hawking radiation. The mechanism we found in this paper is similar to the Schwinger effect of a constant electric field, where the background is static but the Stokes phenomenon appears in the temporal part. Comparing this with a sonic black hole, our calculations show a clear discrepancy between them.
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A r X iv e P rint : 2203.04501 Rights and permissions Open Access . This article is distributed under the terms of the Creative Commons Attribution License ( CC-BY 4.0 ), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Reprints and permissions About this article Cite this article Enomoto, S., Matsuda, T. The Exact WKB analysis and the Stokes phenomena of the Unruh effect and Hawking radiation. J. High Energ. Phys. 2022 , 37 (2022).
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