An algebra of observables for de Sitter space

Jun 21, 2022
56 pages
Published in:
  • JHEP 02 (2023) 082
  • Published: Feb 7, 2023
e-Print:

Citations per year

20202021202220232024020406080100
Abstract: (Springer)
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 II1_{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 II1_{1} algebras agrees, up to an additive constant independent of the state, with the expected generalized entropy Sgen_{gen} = (A/4GN_{N}) + Sout_{out}. An arbitrary additive constant is present because of the renormalization that is involved in defining entropy for a Type II1_{1} algebra.
Note:
  • 54 pages, v2: added references, v3,v4: minor corrections, v5: correction at end of section 2.4
  • Cosmological models
  • de Sitter space
  • space: de Sitter
  • algebra: von Neumann
  • entropy
  • semiclassical
  • gravitation
  • renormalization