The trouble with de Sitter space

By N. Goheer, Matthew Kleban, L. Susskind. 2002

302 citations recorded by the source corpus.

In this paper we assume the de Sitter space version of black hole Complementarity which states that a single causal patch of de Sitter space is described as an isolated finite temperature cavity bounded by a horizon which allows no loss of information. We discuss the how the symmetries of de Sitter space should be implemented. Then we prove a no go theorem for implementing the symmetries if the entropy is finite. Thus we must either give up the finiteness of de Sitter space entropy or the exact symmetry of the classical space. Each has interesting implications for the very long time behavior. We argue that the lifetime of a de Sitter phase can not exceed the Poincar? recurrence time. This is supported by recent results of Kachru, Kallosh, Linde and Trivedi.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/f27acf1c19d94e2d0abe0f2163c8d92e956ad1c5

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. Andrei Linde
2. D. Stanford
3. J. Maldacena
4. D. Harlow
5. R. Kallosh
6. L. Susskind
7. E. Silverstein
8. V. Hubeny

In Nuclear and High Energy Physics

1. Andrei Linde
2. D. Stanford
3. D. Harlow
4. J. Maldacena
5. R. Kallosh
6. S. Shenker
7. L. Susskind
8. E. Witten

In Statistical and Nonlinear Physics

1. D. Stanford
2. Thomas Hartman
3. S. Shenker
4. Phil Saad
5. V. Hubeny
6. E. Witten
7. D. Harlow
8. J. Maldacena

Citations in the corpus

• A semiclassical ramp in SYK and in gravity (2018, background): “However, discrete sums of oscillating terms like f(T ) cannot decay to zero at late time [2, 4, 5, 6].”
• Higher spin realization of the DS/CFT correspondence (2011, background): “encounters imaginaryconformalweights, imaginaryfluxes, and negativeenergy or ghost fields in the bulk. 2 the de Sitter entropy is naturally associated to a static patch observer in de Sitter space (see [30, 31, 32, 33, 34]), whose worldline only intersects I+ at a single point. In this paper, we will ”
• Inflation, Cosmic Perturbations and Non-Gaussianities (2013, background): “It is argued that, like the black hole complementary [84], de Sitter space may have complementary as well [85].”
• Late Time Correlation Functions, Baby Universes, and ETH in JT Gravity (2019, methodology): “However, using the AdS/CFT duality with a boundary field theory on a compact space with a discrete spectrum, one may see that this decay cannot last forever [1, 3, 4, 5].”
• What if string theory has no de Sitter vacua? (2018, background): “It is commonly accepted that dS vacua in string theory can be at best meta-stable [189], hence one would expect that similar to AdS, there are no holographic descriptions of dS space.”
• Sinks in the landscape, Boltzmann brains and the cosmological constant problem (2006, background): “[28], and, simultaneously, as a resolution of the paradox formulated there [57].”
• The black hole singularity in AdS/CFT (2003, background): “A complete description of eternal inflation [17] probably requires an understanding of the many “universes” behind the de Sitter horizon of a single inflating patch [18,19, 20 ].”
• The Annular Report on Non-Critical String Theory (2003, methodology): “It would be interesting to understand the relation between the arguments of [45, 46, 47] and the construction of quantum de Sitter space in two dimensions that we have presented here.”
• Building a better racetrack (2004, unknown): “April 2004 & Louis Michel Professor”
• Three-Dimensional Gravity Revisited (2007, background): “Currently, there is some suspicion (for example, see [17]) that quantum gravity with Λ > 0 does not exist nonperturbatively, in any dimension.”
• DE SITTER MUSINGS (2012, background): “There are also other non-perturbative issues that arise such as Poincare recurrences [118, 119] and the nucleation of bubbles which can be interpreted solely from the perspective of the static patch [128].”
• Ekpyrotic and cyclic cosmology (2008, background): “7 Theorems about past-incompleteness [15] as well as entropy bounds [37] do not apply, because of the singular crunch/bang transitions [96].”
• The cosmological Higgstory of the vacuum instability (2015, background): “The difficulties with dS quantum gravity have been argued from various perspectives [64, 65].”
• De Sitter vacua in string theory (2003, methodology): “(35) A similar thermodynamic approach was recently developed in a series of papers by Susskind et al [8].”