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• W4319599929 abstract "We describe an algebra of observables for a static patch in de Sitter space, with operators gravitationally dressed to the worldline of an observer. The algebra is a von Neumann algebra of Type II$_1$. There is a natural notion of entropy for a state of such an algebra. There is a maximum entropy state, which corresponds to empty de Sitter space, and the entropy of any semiclassical state of the Type II$_1$ algebras agrees, up to an additive constant independent of the state, with the expected generalized entropy $S_{text{gen}}=(A/4G_N)+S_{text{out}}$. An arbitrary additive constant is present because of the renormalization that is involved in defining entropy for a Type II$_1$ algebra." @default.
• W4319599929 created "2023-02-09" @default.
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• W4319599929 date "2023-02-07" @default.
• W4319599929 modified "2023-10-14" @default.
• W4319599929 title "An algebra of observables for de Sitter space" @default.
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• W4319599929 doi "https://doi.org/10.1007/jhep02(2023)082" @default.
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