Kavli Affiliate: Yasunori Nomura
| First 5 Authors: Hao Geng, Yasunori Nomura, Hao-Yu Sun, ,
| Summary:
We formulate a version of the information paradox in de Sitter spacetime and
show that it is solved by the emergence of entanglement islands in the context
of the DS/dS correspondence; in particular, the entanglement entropy of a
subregion obeys a time-dependent Page curve. Our construction works in general
spacetime dimensions and keeps the graviton massless. We interpret the
resulting behavior of the entanglement entropy using double holography. It
suggests that the spatial distribution of microscopic degrees of freedom
depends on descriptions, as in the case of a black hole. In the static
(distant) description of de Sitter (black hole) spacetime, these degrees of
freedom represent microstates associated with the Gibbons-Hawking
(Bekenstein-Hawking) entropy and are localized toward the horizon. On the other
hand, in a global (effective two-sided) description, which is obtained by the
quantum analog of analytic continuation and is intrinsically semiclassical,
they are distributed uniformly and in a unique semiclassical de Sitter (black
hole) vacuum state.
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