Defines a Type II₁ algebra of gravitationally dressed observables in de Sitter static patch whose entropy matches generalized entropy up to a state-independent additive constant.
Towards a quantum theory of de Sitter space
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abstract
We describe progress towards constructing a quantum theory of de Sitter space in four dimensions. In particular we indicate how both particle states and Schwarzschild de Sitter black holes can arise as excitations in a theory of a finite number of fermionic oscillators. The results about particle states depend on a conjecture about algebras of Grassmann variables, which we state, but do not prove.
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Using two timelike boundaries and a nearly maximally entangled thermofield double state from dressed de Sitter Hamiltonian theories, the authors construct wavefunctions for extended cosmological spacetimes that include the future wedge and resolve entanglement entropy issues via 3D constrained path
A finite-dimensional quantum model with commensurable energy eigenvalues and minimum-entropy initial condition yields exact periodicity and a distinguished entropy minimum that may represent the Big Bang while suppressing Boltzmann Brains.
De Sitter space modeled as a finite quantum system yields ambiguous theories, with local experiments accessing only a tiny fraction of its total information content.
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An Algebra of Observables for de Sitter Space
Defines a Type II₁ algebra of gravitationally dressed observables in de Sitter static patch whose entropy matches generalized entropy up to a state-independent additive constant.