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De Sitter Space and Entanglement

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arxiv 1901.04554 v4 pith:WF6D6QB4 submitted 2019-01-14 hep-th gr-qc

Cesar Arias , Felipe Diaz , Per Sundell This is my paper
classification hep-thgr-qc
keywords entanglementdisconnectedarisesboundariesbulkcausallyentropyholographic
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We argue that the notion of entanglement in de Sitter space arises naturally from the non-trivial Lorentzian geometry of the spacetime manifold, which consists of two disconnected boundaries and a causally disconnected interior. In four bulk dimensions, we propose an holographic description of an inertial observer in terms of a thermofield double state in the tensor product of the two boundaries Hilbert spaces, whereby the Gibbons--Hawking formula arises as the holographic entanglement entropy between the past and future conformal infinities. When considering the bulk entanglement between the two causally disconnected Rindler wedges, we show that the corresponding entanglement entropy is given by one quarter of the area of the pair of codimension two minimal surfaces that define the set of fixed points of the dS$_4/\mathbb Z_q$ orbifold.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Universality of pseudoentropy for deformed spheres in dS/CFT

    hep-th 2025-12 conditional novelty 6.0 of 10

    The quadratic shape-deformation correction to pseudoentropy in dS/CFT is controlled by the analytically continued stress-tensor coefficient C_T, making the sphere a local extremum across Einstein and quadratic-curvatu...

  2. Microstate counting from defects in de Sitter

    hep-th 2025-11 conditional novelty 6.0 of 10

    Counting defect microstates via Lorentzian wormholes reproduces the de Sitter and Schwarzschild-de Sitter entropy area laws.

  3. Cosmological correlators in gravitationally-constrained de Sitter states

    hep-th 2025-07 conditional novelty 6.0 of 10

    Cosmological correlators in gravitationally constrained de Sitter states are conformally invariant and differ from QFT vacuum correlators, but relational observables with a heavy background state can reproduce QFT results.

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