What is the entropy in entropic gravity?

Carroll, Sean M.; Remmen, Grant N.

doi:10.1103/PhysRevD.93.124052

What is the entropy in entropic gravity?

Journal Article · Tue Jun 21 00:00:00 EDT 2016 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.93.124052· OSTI ID:1600671

Carroll, Sean M. ^[1]; Remmen, Grant N. ^[2]

California Institute of Technology (CalTech), Pasadena, CA (United States); Caltech
California Institute of Technology (CalTech), Pasadena, CA (United States)

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.

View Accepted Manuscript (DOE)

Research Organization:: California Institute of Technology (CalTech), Pasadena, CA (United States)

Sponsoring Organization:: Gordon and Betty Moore Foundation; USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)

Grant/Contract Number:: SC0011632

OSTI ID:: 1600671

Alternate ID(s):: OSTI ID: 1258721

Journal Information:: Physical Review D, Journal Name: Physical Review D Journal Issue: 12 Vol. 93; ISSN PRVDAQ; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Entropy theorems in classical mechanics, general relativity, and the gravitational two-body problem Oltean, Marius; Bonetti, Luca; Spallicci, Alessandro D. A. M. Physical Review D, Vol. 94, Issue 6 https://doi.org/10.1103/physrevd.94.064049	journal	September 2016
Space from Hilbert space: Recovering geometry from bulk entanglement Cao, ChunJun; Carroll, Sean M.; Michalakis, Spyridon Physical Review D, Vol. 95, Issue 2 https://doi.org/10.1103/physrevd.95.024031	journal	January 2017
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Bulk entanglement gravity without a boundary: Towards finding Einstein’s equation in Hilbert space Cao, ChunJun; Carroll, Sean M. Physical Review D, Vol. 97, Issue 8 https://doi.org/10.1103/physrevd.97.086003	journal	April 2018
Entanglement entropy, scale-dependent dimensions and the origin of gravity Arzano, Michele; Calcagni, Gianluca International Journal of Modern Physics D, Vol. 26, Issue 12 https://doi.org/10.1142/s0218271817430301	journal	October 2017
Space from Hilbert Space: Recovering Geometry from Bulk Entanglement Cao, ChunJun; Carroll, Sean M.; Michalakis, Spyridon arXiv https://doi.org/10.48550/arxiv.1606.08444	text	January 2016
Cosmic Equilibration: A Holographic No-Hair Theorem from the Generalized Second Law Carroll, Sean M.; Chatwin-Davies, Aidan arXiv https://doi.org/10.48550/arxiv.1703.09241	text	January 2017
Bulk Entanglement Gravity without a Boundary: Towards Finding Einstein's Equation in Hilbert Space Cao, ChunJun; Carroll, Sean M. arXiv https://doi.org/10.48550/arxiv.1712.02803	text	January 2017

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