Emergent gravity from relatively local Hamiltonians and a possible resolution of the black hole information puzzle

@article{Lee2018EmergentGF,
  title={Emergent gravity from relatively local Hamiltonians and a possible resolution of the black hole information puzzle},
  author={Sung-Sik Lee},
  journal={Journal of High Energy Physics},
  year={2018},
  volume={2018},
  pages={1-56}
}
  • Sung-Sik Lee
  • Published 1 March 2018
  • Physics
  • Journal of High Energy Physics
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References

SHOWING 1-10 OF 151 REFERENCES
A covariant holographic entanglement entropy proposal
With an aim towards understanding the time-dependence of entanglement entropy in generic quantum field theories, we propose a covariant generalization of the holographic entanglement entropy proposal
Exact holographic mapping and emergent space-time geometry
In this paper, we propose an {\it exact holographic mapping} which is a unitary mapping from the Hilbert space of a lattice system in flat space (boundary) to that of another lattice system in one
Quantum Gravity at a Lifshitz Point
We present a candidate quantum field theory of gravity with dynamical critical exponent equal to $z=3$ in the UV. (As in condensed-matter systems, $z$ measures the degree of anisotropy between space
Wormholes in spacetime.
  • Hawking
  • Physics
    Physical review. D, Particles and fields
  • 1988
TLDR
The possible quantum states of these closed universes, which correspond to wormholes which connect two asymptotically Euclidean regions, are described.
General covariance from the quantum renormalization group
The Quantum renormalization group (QRG) is a realisation of holography through a coarse graining prescription that maps the beta functions of a quantum field theory thought to live on the `boundary'
Dynamical Structure and Definition of Energy in General Relativity
The problem of the dynamical structure and definition of energy for the classical general theory of relativity is considered on a formal level. As in a previous paper, the technique used is the
Background independent holographic description: from matrix field theory to quantum gravity
A bstractWe propose a local renormalization group procedure where length scale is changed in spacetime dependent way. Combining this scheme with an earlier observation that high energy modes in
Generalized gravitational entropy
A bstractWe consider classical Euclidean gravity solutions with a boundary. The boundary contains a non-contractible circle. These solutions can be interpreted as computing the trace of a density
Horizon as critical phenomenon
A bstractWe show that renormalization group flow can be viewed as a gradual wave function collapse, where a quantum state associated with the action of field theory evolves toward a final state that
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