# Analogous Hawking Radiation in Butterfly Effect

### Submission summary

 As Contributors: Takeshi Morita Preprint link: scipost_202010_00029v2 Date accepted: 2020-12-29 Date submitted: 2020-12-16 17:15 Submitted by: Morita, Takeshi Submitted to: SciPost Physics Proceedings Proceedings issue: 4th International Conference on Holography, String Theory and Discrete Approach in Hanoi Academic field: Physics Specialties: High-Energy Physics - Theory Approach: Theoretical

### Abstract

We propose that Hawking radiation-like phenomena may be observed in systems that show butterfly effects. Suppose that a classical dynamical system has a Lyapunov exponent $\lambda_L$, and is deterministic and non-thermal ($T=0$). We argue that, if we quantize this system, the quantum fluctuations may imitate thermal fluctuations with temperature $T \sim \hbar \lambda_L/2 \pi$ in a semi-classical regime, and it may cause analogous Hawking radiation. We also discuss that our proposal may provide an intuitive explanation of the existence of the bound of chaos proposed by Maldacena, Shenker and Stanford.

Published as SciPost Phys. Proc. 4, 007 (2021)

Dear Referee,

I would like to thank the referee for reading my manuscript and giving valuable comments. As the referee pointed out, my result is consistent with Ref.[9]. I added footnote 8 about this interesting relation to Ref.[9] at the end of section 3.2.

Sincerely,

Takeshi Morita

### List of changes

I added footnote 8 about the relation to Ref.[9] at the end of section 3.2.

### Submission & Refereeing History

Resubmission scipost_202010_00029v2 on 16 December 2020
Submission scipost_202010_00029v1 on 31 October 2020

## Reports on this Submission

### Report

Since the author has addressed all my comments in the second version of his paper, I am happy to recommend the paper for publication.

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