scholarly journals De Sitter Holography: Fluctuations, Anomalous Symmetry, and Wormholes

Universe ◽  
2021 ◽  
Vol 7 (12) ◽  
pp. 464
Author(s):  
Leonard Susskind

The Goheer–Kleban–Susskind no-go theorem says that the symmetry of de Sitter space is incompatible with finite entropy. The meaning and consequences of the theorem are discussed in light of recent developments in holography and gravitational path integrals. The relation between the GKS theorem, Boltzmann fluctuations, wormholes, and exponentially suppressed non-perturbative phenomena suggests that the classical symmetry between different static patches is broken and that eternal de Sitter space—if it exists at all—is an ensemble average.

2017 ◽  
Vol 119 (7) ◽  
Author(s):  
Pawel Caputa ◽  
Nilay Kundu ◽  
Masamichi Miyaji ◽  
Tadashi Takayanagi ◽  
Kento Watanabe

2003 ◽  
Vol 44 (1) ◽  
pp. 146-155
Author(s):  
A. V. Grinchuk ◽  
E. A. Ushakov

2012 ◽  
Vol 29 (19) ◽  
pp. 194002 ◽  
Author(s):  
Óscar J C Dias ◽  
Gary T Horowitz ◽  
Jorge E Santos
Keyword(s):  

2020 ◽  
Vol 80 (8) ◽  
Author(s):  
Samim Akhtar ◽  
Sayantan Choudhury ◽  
Satyaki Chowdhury ◽  
Debopam Goswami ◽  
Sudhakar Panda ◽  
...  

Abstract In this work, our prime objective is to study non-locality and long range effect of two body correlation using quantum entanglement from various information theoretic measure in the static patch of de Sitter space using a two body Open Quantum System (OQS). The OQS is described by a system of two entangled atoms, surrounded by a thermal bath, which is modelled by a massless probe scalar field. Firstly, we partially trace over the bath field and construct the Gorini Kossakowski Sudarshan Lindblad (GSKL) master equation, which describes the time evolution of the reduced subsystem density matrix. This GSKL master equation is characterized by two components, these are-Spin chain interaction Hamiltonian and the Lindbladian. To fix the form of both of them, we compute the Wightman functions for probe massless scalar field. Using this result alongwith the large time equilibrium behaviour we obtain the analytical solution for reduced density matrix. Further using this solution we evaluate various entanglement measures, namely Von-Neumann entropy, R$$e'$$e′nyi entropy, logarithmic negativity, entanglement of formation, concurrence and quantum discord for the two atomic subsystem on the static patch of De-Sitter space. Finally, we have studied violation of Bell-CHSH inequality, which is the key ingredient to study non-locality in primordial cosmology.


2014 ◽  
Vol 351 ◽  
pp. 872-899 ◽  
Author(s):  
Jun Feng ◽  
Yao-Zhong Zhang ◽  
Mark D. Gould ◽  
Heng Fan ◽  
Cheng-Yi Sun ◽  
...  

1980 ◽  
Vol 96 (1-2) ◽  
pp. 105-109 ◽  
Author(s):  
A. Chakrabarti ◽  
A. Comtet ◽  
K.S. Viswanathan

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