What is the entropy in entropic gravity?
- 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.
- Research Organization:
- California Institute of Technology (CalTech), Pasadena, CA (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC), High Energy Physics (HEP); Gordon and Betty Moore Foundation
- Grant/Contract Number:
- SC0011632; DGE-1144469
- OSTI ID:
- 1600671
- Alternate ID(s):
- OSTI ID: 1258721
- Journal Information:
- Physical Review D, Vol. 93, Issue 12; ISSN 2470-0010
- Publisher:
- American Physical Society (APS)Copyright Statement
- Country of Publication:
- United States
- Language:
- English
Web of Science
Cosmic equilibration: A holographic no-hair theorem from the generalized second law
|
journal | February 2018 |
Entropy theorems in classical mechanics, general relativity, and the gravitational two-body problem
|
journal | September 2016 |
Entanglement entropy, scale-dependent dimensions and the origin of gravity
|
journal | October 2017 |
| Space from Hilbert Space: Recovering Geometry from Bulk Entanglement | text | January 2016 |
| Cosmic Equilibration: A Holographic No-Hair Theorem from the Generalized Second Law | text | January 2017 |
| Bulk Entanglement Gravity without a Boundary: Towards Finding Einstein's Equation in Hilbert Space | text | January 2017 |
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