6–8 Nov 2024
KEK Tsukuba campus.
Asia/Tokyo timezone

Stochastic inflation and entropy bound in de Sitter spacetime

8 Nov 2024, 11:40
20m
Seminar Hall (KEK Tsukuba campus.)

Seminar Hall

KEK Tsukuba campus.

Bldg. 3(San-Go- Kan), 1F, K03

Speaker

Hiromasa Tajima

Description

We analyze the entropy behavior of the de Sitter spacetime during the inflationary phase. A cosmological horizon in de Sitter spacetime that constrains the causally accessible region of an observer exhibits thermal properties analogous to the event horizon of a black hole. According to the principles of holography, the entropy within a causally connected region for an observer is limited by its boundary. This entropy bound is violated during the late inflation stage. To address the issue of entropy bound violations from a quantum information perspective, we adopted a stochastic approach to cosmic inflation. We consider Shannon entropy of the probability distribution of the inflaton field, which shows the same behavior as the entanglement entropy of a Hubble-size region in stochastic inflation. Adopting the volume-weighted probability distribution for the inflaton field, we show a meaningful entropy behavior in the de Sitter spacetime.

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