Gravitational null rays are quantized in a diffeomorphism-covariant way using the gravitational dressing time as quantum reference frame, producing a Virasoro crossed-product algebra of gauge-invariant observables.
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Semiclassical crossed product constructions extend the algebraic reconstruction theorem to type III algebras and yield an algebraic Ryu-Takayanagi formula for holographic duality.
A mutually-commuting von Neumann algebra model is constructed for arbitrary quantum networks, yielding Bell-type inequalities whose violation depends on specific algebraic structural conditions of the observables.
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Gravitational null rays: Covariant Quantization and the Dressing Time
Gravitational null rays are quantized in a diffeomorphism-covariant way using the gravitational dressing time as quantum reference frame, producing a Virasoro crossed-product algebra of gauge-invariant observables.
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Semiclassical algebraic reconstruction for type III algebras
Semiclassical crossed product constructions extend the algebraic reconstruction theorem to type III algebras and yield an algebraic Ryu-Takayanagi formula for holographic duality.
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Mutually-commuting von Neumann algebra models of quantum networks and violation of Bell-type inequalities
A mutually-commuting von Neumann algebra model is constructed for arbitrary quantum networks, yielding Bell-type inequalities whose violation depends on specific algebraic structural conditions of the observables.