What is the Entropy in Entropic Gravity? - INSPIRE

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What is the Entropy in Entropic Gravity?

Sean M. Carroll
(
- Caltech
)
,
Grant N. Remmen
(
- Caltech
)

Jan 27, 2016

13 pages

Published in:

Phys.Rev.D 93 (2016) 12, 124052

Published: Jun 21, 2016

e-Print:

1601.07558 [hep-th]

DOI:

10.1103/PhysRevD.93.124052

Report number:

CALT-TH-2015-038

View in:

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Abstract: (APS)

We investigate 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. This investigation points the way forward in understanding the connections between gravity and entanglement.

Note:

25 pages, 4 figures

gravitation: holography
force: entropy
space-time: background
Einstein equation
thermodynamical
field theory
equation of state
entanglement
geometry
modular

References(46)

Figures(4)

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