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Title: What is the entropy in entropic gravity?

Abstract

We explore theories in which gravity arises as a consequence of entropy. We distinguish between two approaches to this idea: holographic gravity, in which Einstein’s equation arises from keeping entropy stationary in equilibrium under variations of the geometry and quantum state of a small region, and thermodynamic gravity, in which Einstein’s equation emerges as a local equation of state from constraints on the area of a dynamical light sheet in a fixed spacetime background. Examining holographic gravity, we argue that its underlying assumptions can be justified in part using recent results on the form of the modular energy in quantum field theory. For thermodynamic gravity, on the other hand, we find that it is difficult to formulate a self-consistent definition of the entropy, which represents an obstacle for this approach. Our investigation points the way forward in understanding the connections between gravity and entanglement.

Authors:
 [1];  [1]
  1. California Institute of Technology (CalTech), Pasadena, CA (United States)
Publication Date:
Research Org.:
California Institute of Technology (CalTech), Pasadena, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25); Gordon and Betty Moore Foundation
OSTI Identifier:
1600671
Alternate Identifier(s):
OSTI ID: 1258721
Grant/Contract Number:  
SC0011632; DGE-1144469
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 93; Journal Issue: 12; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 79 ASTRONOMY AND ASTROPHYSICS

Citation Formats

Carroll, Sean M., and Remmen, Grant N. What is the entropy in entropic gravity?. United States: N. p., 2016. Web. doi:10.1103/PhysRevD.93.124052.
Carroll, Sean M., & Remmen, Grant N. What is the entropy in entropic gravity?. United States. doi:10.1103/PhysRevD.93.124052.
Carroll, Sean M., and Remmen, Grant N. Tue . "What is the entropy in entropic gravity?". United States. doi:10.1103/PhysRevD.93.124052. https://www.osti.gov/servlets/purl/1600671.
@article{osti_1600671,
title = {What is the entropy in entropic gravity?},
author = {Carroll, Sean M. and Remmen, Grant N.},
abstractNote = {We explore theories in which gravity arises as a consequence of entropy. We distinguish between two approaches to this idea: holographic gravity, in which Einstein’s equation arises from keeping entropy stationary in equilibrium under variations of the geometry and quantum state of a small region, and thermodynamic gravity, in which Einstein’s equation emerges as a local equation of state from constraints on the area of a dynamical light sheet in a fixed spacetime background. Examining holographic gravity, we argue that its underlying assumptions can be justified in part using recent results on the form of the modular energy in quantum field theory. For thermodynamic gravity, on the other hand, we find that it is difficult to formulate a self-consistent definition of the entropy, which represents an obstacle for this approach. Our investigation points the way forward in understanding the connections between gravity and entanglement.},
doi = {10.1103/PhysRevD.93.124052},
journal = {Physical Review D},
number = 12,
volume = 93,
place = {United States},
year = {2016},
month = {6}
}

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Cited by: 6 works
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    Works referencing / citing this record:

    Entanglement entropy, scale-dependent dimensions and the origin of gravity
    journal, October 2017

    • Arzano, Michele; Calcagni, Gianluca
    • International Journal of Modern Physics D, Vol. 26, Issue 12
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