An outsider’s perspective on information recovery in de Sitter space

Aalsma, Lars; Aguilar-Gutierrez, Sergio E.; Sybesma, Watse

doi:10.1007/jhep01(2023)129

Cited by 15 publications

(8 citation statements)

References 67 publications

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“…In addition, beyond some finite time, that we quantified analytically in D = 4 and D = 5, either the interior or the exterior spacelike geodesic disappears and one expects a phase transition that introduces complex geodesics (labeled by complex E) connecting static sphere observers. We expect this to play an important role in a geodesic approximation to the correlator [32,37,40].…”

Section: Jcap05(2024)118mentioning

confidence: 96%

“…times) on the two poles. Instead, as shown in [37,40], one needs to introduce complex geodesics in order to connect symmetric points on the north and south pole lying that are not located at τ = 0. This ends our introduction.…”

Section: Jcap05(2024)118mentioning

confidence: 99%

“…And no symmetric radial spacelike geodesics exist between two conjugate static sphere observers beyond the maximum of the two temporal windows. Presumably, as for the AdS black hole [32] and in pure de Sitter [37,40], one should instead consider complex geodesics for static sphere times outside the temporal windows (related to complex values of the conserved quantity E). In five dimensions this point coincides for interior (black hole) and exterior (de Sitter) geodesics, but in four dimensions one first crosses the exterior temporal window before reaching the interior temporal boundary.…”

Section: Jcap05(2024)118mentioning

confidence: 99%

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Static sphere observers and geodesics in Schwarzschild-de Sitter spacetime

Faruk,

Morvan,

van der Schaar

2024

J. Cosmol. Astropart. Phys.

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We analyze null- and spacelike radial geodesics in Schwarzschild-de Sitter spacetime connecting two conjugate static sphere observers, i.e. free-falling observers at a fixed radius in between the two horizons. We explicitly determine the changes in the causal structure with respect to these natural observers as a result of the inward bending of the black hole singularity, as well as the outward bending of asymptotic infinity. Notably, the inward and outward bending changes as a function of the black hole mass, first increasing towards a maximum and then decreasing to vanish in the extreme Nariai limit. For a generic mass of the black hole this implies the existence of finite size (temporal) windows for the presence of symmetric radial geodesics between the static sphere observers probing the interior region of the black hole, as well as the exterior de Sitter region. We determine the size of the interior (black hole) and exterior (de Sitter) temporal windows in 4, 5 and 6 spacetime dimensions, finding that they are equal in D = 5, and compute the proper lengths of the symmetric radial geodesics. We comment on the implications for information exchange and the potential role of the symmetric radial geodesics in a geodesic approximation of static sphere correlators in Schwarzschild-de Sitter spacetime.

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Section: Jcap05(2024)118mentioning

confidence: 96%

Section: Jcap05(2024)118mentioning

confidence: 99%

Section: Jcap05(2024)118mentioning

confidence: 99%

See 1 more Smart Citation

Static sphere observers and geodesics in Schwarzschild-de Sitter spacetime

Faruk,

Morvan,

van der Schaar

2024

J. Cosmol. Astropart. Phys.

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“…See other recent proposals in [118][119][120][121][122]. Quantum extremal surfaces in the context of dS have also been actively studied recently [123][124][125][126][127][128][129], but it is fair to say that compared to the black hole case (see [130] for current state of affairs), the case of the cosmological horizon is still pretty much under development.…”

Section: Pos(modave2022)003mentioning

confidence: 99%

Modave lectures on de Sitter space & holography

Galante¹

2023

Proceedings of Modave Summer School in Mathematical Physics — PoS(Modave2022)

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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 and its associated thermodynamic quantities, such as the Gibbons-Hawking entropy. We discuss geodesics and shockwave solutions, that might play a role in a holographic description of de Sitter. Finally, we discuss different approaches to quantum theories of de Sitter space, with an emphasis on recent developments in static patch holography.

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“…Further studies on entanglement islands in cosmological settings include[105][106][107][108][109][110][111][112] 10. More precisely, this transition was later understood to diagnose the mass gap, rather than a true confinement-deconfinement transition[114].…”

mentioning

confidence: 99%

Entangled universes in dS wedge holography

Aguilar-Gutierrez,

Patra,

Pedraza

2023

J. High Energ. Phys.

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We develop a new setting in the framework of braneworld holography to describe a pair of coupled and entangled uniformly accelerated universes. The model consists of two branes embedded into AdS space capping off the UV and IR regions, giving rise to a notion of dS wedge holography. Specializing in a three-dimensional bulk, we show that dS JT gravity can emerge as an effective braneworld theory, provided that fluctuations transverse to the branes are included. We study the holographic entanglement entropy between the branes as well as the holographic complexity within the ‘complexity=anything’ proposal. We reproduce a Page curve with respect to an observer collecting radiation on the UV brane, as long as we take the limit where gravity decouples in that universe, thus acting as a non-gravitating bath. The Page curve emerges due to momentum-space (UV/IR) entanglement and can be understood as analogous to the ‘confinement-deconfinement’ transition in theories with a mass gap. Moreover, the analysis of complexity shows that the hyperfast growth phenomenon is displayed within a set of proposals, while late-time linear growth can be recovered for a different set. Our framework thus provides new test grounds for understanding quantum information concepts in dS space and dS holography.

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An outsider’s perspective on information recovery in de Sitter space

Cited by 15 publications

References 67 publications

Static sphere observers and geodesics in Schwarzschild-de Sitter spacetime

Static sphere observers and geodesics in Schwarzschild-de Sitter spacetime

Modave lectures on de Sitter space & holography

Entangled universes in dS wedge holography

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