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The entropy of a de Sitter horizon was derived long ago by Gibbons and Hawking via a gravitational partition function. Since there is no boundary at which to define the temperature or energy of the ensemble, the statistical foundation of…

High Energy Physics - Theory · Physics 2022-07-14 Batoul Banihashemi , Ted Jacobson

The activation temperature $T$ in the de Sitter environment is twice larger than the Gibbons-Hawking temperature, related to the cosmological horizon. We consider the activation temperature as the local temperature of the de Sitter vacuum,…

General Relativity and Quantum Cosmology · Physics 2023-07-18 G. E. Volovik

We analyze the asymptotic behavior of quantum fields and perturbative quantum gravity in de Sitter space. We show that the necessary and sufficient condition for the existence of a de Sitter invariant vacuum state in the free theory is if…

High Energy Physics - Theory · Physics 2025-03-27 Jonah Kudler-Flam , Kartik Prabhu , Gautam Satishchandran

The one-state statement for closed universes has sparked considerable discussion. In this paper, we examine its physical meaning in the context of the Hartle-Hawking state and de Sitter space. We argue that the one-state property of closed…

High Energy Physics - Theory · Physics 2026-02-10 Ying Zhao

A deSitter brane-world bounding regions of anti-deSitter space has a macroscopic entropy given by one-quarter the area of the observer horizon. A proposed variant of the AdS/CFT correspondence gives a dual description of this cosmology as…

High Energy Physics - Theory · Physics 2009-10-31 Stephen Hawking , Juan Maldacena , Andrew Strominger

We calculate Sorkin's manifestly covariant entanglement entropy $\mathcal{S}$ for a massive and massless minimally coupled free Gaussian scalar field for the de Sitter horizon and Schwarzschild de Sitter horizons respectively in $d > 2$. In…

General Relativity and Quantum Cosmology · Physics 2022-01-25 Abhishek Mathur , Sumati Surya , Nomaan X

We present a mathematical formulation of black hole complementarity based on recent rules for including the observer in quantum cosmology. We argue that this provides a self-consistent treatment of the interior of an evaporating black hole…

High Energy Physics - Theory · Physics 2025-07-09 Netta Engelhardt , Elliott Gesteau , Daniel Harlow

I discuss black hole evaporation in two different coordinate systems and argue that the results of the two are compatible once one takes the holographic principle into account. de Sitter space is then discussed along similar lines. Finally…

High Energy Physics - Theory · Physics 2010-07-26 Tom Banks

These lecture notes provide an overview of different aspects of de Sitter space and their plausible holographic interpretations. We start with a general description of the classical spacetime. We note the existence of a cosmological horizon…

High Energy Physics - Theory · Physics 2023-12-14 Damian A. Galante

We formulate the information paradox in de Sitter space in terms of the no-cloning principle of quantum mechanics. We show that energy conservation puts an upper bound on the maximum entropy available to any de Sitter observer. Combined…

High Energy Physics - Theory · Physics 2008-11-26 Maulik K. Parikh , Jan Pieter van der Schaar

In the paper, the temperature associated with a dynamical spherically symmetric black hole or with a cosmological horizon is investigated from the point of view of a point-like detector. First, we briefly review the Hamilton-Jacobi…

High Energy Physics - Theory · Physics 2011-01-28 G. Acquaviva , R. Di Criscienzo , L. Vanzo , S. Zerbini

We generalize the de Sitter static patch holographic proposal and the bilayer holographic entanglement entropy prescription to de Sitter geometries containing a bubble of smaller positive or vanishing cosmological constant. When the causal…

High Energy Physics - Theory · Physics 2026-03-27 Anastasios Irakleous , François Rondeau , Nicolaos Toumbas

We study the algebra of observables in a time band on the boundary of anti-de Sitter space in a theory of quantum gravity. Strictly speaking this algebra does not have a commutant because products of operators within the time band give rise…

High Energy Physics - Theory · Physics 2025-02-25 Kristan Jensen , Suvrat Raju , Antony J. Speranza

Euclidean continuation of several Lorentzian spacetimes with horizons requires treating the Euclidean time coordinate to be periodic with some period $\beta$. Such spacetimes (Schwarzschild, deSitter,Rindler .....) allow a temperature…

General Relativity and Quantum Cosmology · Physics 2016-08-31 T. Padmanabhan

Quantum coherence in curved spacetime offers a fresh window into the interplay between gravity, thermality, and quantum resources. While previous work has shown that Markovian evolution can generate entanglement and other nonclassical…

General Relativity and Quantum Cosmology · Physics 2025-10-06 Samira Elghaayda , Atta ur Rahman , Mostafa Mansour

In a QFT on de Sitter background, one can study correlators between fields pushed to the future and past horizons of a comoving observer. This is a neat probe of the physics in the observer's causal diamond (known as the static patch). We…

High Energy Physics - Theory · Physics 2023-06-22 Mehrdad Mirbabayi , Flavio Riccardi

It is found that there is no period in the imaginary Beltrami-time of the de Sitter spacetime with Beltrami metric and that the `surface-gravity' in view of inertial observers in de Sitter spacetime is zero! They show that the horizon might…

High Energy Physics - Theory · Physics 2009-11-10 Han-Ying Guo , Chao-Guang Huang , Bin Zhou

We discuss the difference between the thermodynamics of black holes and thermodynamics of the de Sitter expansion. Both systems experience the Hawking radiation, but its impact on thermodynamics is different. As distinct from the…

General Relativity and Quantum Cosmology · Physics 2026-04-07 G. E. Volovik

We compute the entanglement entropy for some quantum field theories on de Sitter space. We consider a superhorizon size spherical surface that divides the spatial slice into two regions, with the field theory in the standard vacuum state.…

High Energy Physics - Theory · Physics 2015-06-11 Juan Maldacena , Guilherme L. Pimentel

In the light of recent interest in quantum gravity in de Sitter space, we investigate semi-classical aspects of 4-dimensional Schwarzschild-de Sitter space-time using the method of complex paths. The standard semi-classical techniques (such…

General Relativity and Quantum Cosmology · Physics 2009-11-10 S. Shankaranarayanan