de Sitter entropy as entanglement

Abstract

We describe connected timelike codim-2 extremal surfaces stretching between the future and the past boundaries in the static patch coordinatization of de Sitter space. These are analogous to rotated versions of certain surfaces in the $AdS$ black hole. The existence of these surfaces via the $dS/CFT$ framework suggests the speculation that $d{S}_4$ is dual to two copies of ghost-like CFTs in a thermofield-double-type entangled state. In studies of entanglement in ghost systems and "ghost-spin" chains, we show that similar entangled states in two copies of ghost-spin ensembles always have positive norm and positive entanglement.

4pgs+refs, Essay received honorable mention in the Gravity Research Foundation 2019 Awards

References in corpus (7)

• Surface/State Correspondence as a Generalized Holography
• de Sitter extremal surfaces
• On extremal surfaces and de Sitter entropy
• Comments on Entanglement Entropy in the dS/CFT Correspondence
• Ghost-spin chains, entanglement and $bc$-ghost CFTs
• Entangled spins and ghost-spins
• N-level ghost-spins and entanglement

Cited by in corpus (12)

• Sewing spacetime with Lorentzian threads: complexity and the emergence of time in quantum gravity
• Non-local Entanglement and Fast Scrambling in De-Sitter Holography
• On de Sitter future-past extremal surfaces and the "entanglement wedge"
• General Relativistic Wormhole Connections from Planck-Scales and the ER = EPR Conjecture
• Logarithmic Corrections, Entanglement Entropy, and UV Cutoffs in de Sitter Spacetime
• Evolution of thermodynamic quantities on cosmological horizon in $\Lambda (t)$ model
• Schwarzschild de Sitter and extremal surfaces
• The Cosmological OTOC: A New Proposal for Quantifying Auto-Correlated Random Non-Chaotic Primordial Fluctuations
• Modular Hamiltonian for de Sitter diamonds
• Horizon thermodynamics and cosmological equations: A holographic-like connection between thermostatistical quantities on a cosmological horizon and in the bulk
• Entropy-area law and temperature of de Sitter horizons from modular theory
• $dS$ extremal surfaces, replicas, boundary Renyi entropies in $dS/CFT$ and time entanglement