Stochastic inflation and entropy bound in de Sitter spacetime
Abstract: We investigate the entropy dynamics of de Sitter spacetime during the inflationary phase. The cosmological horizon in de Sitter spacetime, which limits the causally accessible region for an observer, exhibits thermal properties similar to a black hole event horizon. According to holographic principles, the entropy within a causally connected region is bounded by its surface area. However, this entropy bound is violated during the eternal phase of inflation. To address these violations from a quantum information perspective, we adopt a stochastic approach to cosmic inflation. Specifically, we analyze the Shannon entropy of the inflaton field's probability distribution, which mirrors the behavior of the entanglement entropy of a Hubble-sized region in stochastic inflation. Using the volume-weighted probability distribution for the inflaton field, we demonstrate a significant entropy behavior in de Sitter spacetime.
- J. D. Bekenstein, A Universal Upper Bound on the Entropy to Energy Ratio for Bounded Systems, Phys. Rev. D 23, 287 (1981).
- R. Bousso, A Covariant entropy conjecture, JHEP 07, 004, arXiv:hep-th/9905177 .
- S. W. Hawking, Particle Creation by Black Holes, Commun. Math. Phys. 43, 199 (1975), [Erratum: Commun.Math.Phys. 46, 206 (1976)].
- J. Kames-King, E. M. H. Verheijden, and E. P. Verlinde, No Page curves for the de Sitter horizon, JHEP 03, 040, arXiv:2108.09318 [hep-th] .
- H. Geng, Y. Nomura, and H.-Y. Sun, Information paradox and its resolution in de Sitter holography, Phys. Rev. D 103, 126004 (2021), arXiv:2103.07477 [hep-th] .
- D. N. Page, Information in black hole radiation, Phys. Rev. Lett. 71, 3743 (1993), arXiv:hep-th/9306083 .
- G. Penington, Entanglement Wedge Reconstruction and the Information Paradox, JHEP 09, 002, arXiv:1905.08255 [hep-th] .
- V. Balasubramanian, A. Kar, and T. Ugajin, Islands in de Sitter space, JHEP 02, 072, arXiv:2008.05275 [hep-th] .
- Y. Chen, V. Gorbenko, and J. Maldacena, Bra-ket wormholes in gravitationally prepared states, JHEP 02, 009, arXiv:2007.16091 [hep-th] .
- D. Teresi, Islands and the de Sitter entropy bound, JHEP 10, 179, arXiv:2112.03922 [hep-th] .
- S.-J. Rey, Dynamics of Inflationary Phase Transition, Nucl. Phys. B 284, 706 (1987).
- A. Vilenkin, Birth of inflationary universes, Phys. Rev. D 27, 2848 (1983).
- Y. Nambu, Quantum to classical transition of density fluctuations in the inflationary model, Phys. Lett. B 276, 11 (1992).
- K.-i. Nakao, Y. Nambu, and M. Sasaki, Stochastic Dynamics of New Inflation, Prog. Theor. Phys. 80, 1041 (1988).
- Y. Nambu and K. Yamaguchi, Entanglement partners and monogamy in de Sitter universes, Phys. Rev. D 108, 045002 (2023), arXiv:2305.18662 .
- M. Sasaki, Y. Nambu, and K.-i. Nakao, Classical Behavior of a Scalar Field in the Inflationary Universe, Nucl. Phys. B 308, 868 (1988).
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