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An Infalling Observer and Behind the Horizon Cutoff

by Amin Akhavan and Mohsen Alishahiha

Submission summary

As Contributors: Mohsen Alishahiha
Preprint link: scipost_201910_00014v2
Date accepted: 2019-11-22
Date submitted: 2019-11-01
Submitted by: Alishahiha, Mohsen
Submitted to: SciPost Physics
Discipline: Physics
Subject area: High-Energy Physics - Theory
Approach: Theoretical

Abstract

Using Papadodimas and Raju construction of operators describing the interior of a black hole, we present a general relation between partition functions of operators describing inside and outside the black hole horizon. In particular for an eternal black hole the partition function of the interior modes may be given in terms those partition functions associated with the modes of left and right exteriors. By making use of this relation we observe that setting a finite UV cutoff will enforce us to have a cutoff behind the horizon whose value is fixed by the UV cutoff. The resultant cutoff is in agreement with what obtained in the context of holographic complexity.

Ontology / Topics

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Black holes Cosmological horizon Holography

Published as SciPost Phys. 7, 073 (2019)



Author comments upon resubmission

Following the referee's comments we have revised our paper.

List of changes

To address the comments, two footnotes are added. footnote 3 and 5. Two papers are also added in the list of references. Ref[27] and Ref[28].

Submission & Refereeing History

Resubmission scipost_201910_00014v2 on 1 November 2019
Submission scipost_201910_00014v1 on 14 October 2019

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