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Holographic Space-Time: The Takeaway
TL;DR: The theory of holographic space-time (HST) generalizes both string theory and quantum field theory as mentioned in this paper, and it provides a geometric rationale for supersymmetry (SUSY) and a formalism in which super-Poincare invariance follows from Poincare-invariant invariance.
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Abstract: The theory of holographic space-time (HST) generalizes both string theory and quantum field theory. It provides a geometric rationale for supersymmetry (SUSY) and a formalism in which super-Poincare invariance follows from Poincare invariance. HST unifies particles and black holes, realizing both as excitations of non-commutative geometrical variables on a holographic screen. Compact extra dimensions are interpreted as finite dimensional unitary representations of super-algebras, and have no moduli. Full field theoretic Fock spaces, and continuous moduli are both emergent phenomena of super-Poincare invariant limits in which the number of holographic degrees of freedom goes to infinity. Finite radius de Sitter (dS) spaces have no moduli, and break SUSY with a gravitino mass scaling like $\Lambda^{1/4}$. We present a holographic theory of inflation and fluctuations. The inflaton field is an emergent concept, describing the geometry of an underlying HST model, rather than "a field associated with a microscopic string theory". We argue that the phrase in quotes is meaningless in the HST formalism.
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Citations
Emergent Gravity and the Dark Universe
Erik Verlinde
- 16 May 2017
TL;DR: In this article, it was shown that the entropy of the de Sitter states does not thermalise at sub-Hubble scales: they exhibit memory effects in the form of an entropy displacement caused by matter, and the emergent laws of gravity contain an additional 'dark' gravitational force describing the "elastic response due to the entropy displacement".
Quantum Computation vs. Firewalls
Daniel Harlow,Patrick Hayden +1 more
TL;DR: In this paper, the authors discuss quantum computational restrictions on the types of thought experiments recently used by Almheiri, Marolf, Polchinski, and Sully to argue against the smoothness of black hole horizons.
305
Unitarity and the Holographic S-Matrix
A. Liam Fitzpatrick,Jared Kaplan +1 more
TL;DR: In this article, it was shown that the unitarity of the S-Matrix can be derived by studying the behavior of the OPE and the conformal block decomposition in the flat space limit of AdS/CFT.
Space from Hilbert Space: Recovering Geometry from Bulk Entanglement
TL;DR: In this article, the authors construct a spatial manifold and its geometry from the entanglement structure of an abstract quantum state in Hilbert space by using mutual information to define a distance measure on the graph and then extracting the best-fit spatial dimensionality of the emergent geometry.
265
De sitter musings
TL;DR: In this paper, a review of basic notions such as the geometry of Schwarzschild-de Sitter black hole, the Nariai limit and quantum field theory in a fixed de Sitter background are discussed.
189
References
•Posted Content
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TL;DR: In this paper, the authors identify a correlator whose large-N limit is the flat spacetime S-matrix, and they show that in the large N limit of d=4, N=4 gauge theory becomes flat.
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The Gravitational S-matrix
TL;DR: In this article, the authors investigate the hypothesized existence of an S matrix for gravity and some of its expected general properties, including those of infrared divergences and description of asymptotic states.
Holography in the Flat Space Limit
TL;DR: In this article, the authors consider the nature of this limit and show that the holographic mapping becomes completely nonlocal as the number of degrees of freedom of a system goes to infinity, which corresponds to the growth of D0-brane bound states with N.
Non-Commutative Geometry
Alain Connes
- 01 Jan 1988
TL;DR: For purely mathematical reasons, it is necessary to consider spaces which cannot be represented as point set sand where the coordinates describing the space do not commute as mentioned in this paper, i.e., spaces which are described by algebras of coordinates which are not commutative.