Correlations across horizons in quantum cosmology
arXiv:1410.2543 · doi:10.1103/PhysRevD.90.124074
Abstract
Different spacetime regions separated by horizons are not related to each other. We know that this statement holds for classical spacetimes. In this paper we carry out a canonical quantization of a Kantowski-Sachs minisuperspace model whose classical solutions exhibit both an event horizon and a cosmological horizon in order to check whether the above statement also holds from the quantum gravitational point of view. Our analysis shows that in fact this is not the case: Quantum gravitational states with support in spacetime configurations that exclusively describe either the region between horizons or outside them are not consistent in the sense that there exist unitary operators describing a natural notion of evolution that connect them. In other words, unitarity is only preserved in this quantization when dealing with the whole spacetime and not in each region separately.
10 pages, 5 figures
References in corpus (32)
- Dumb Holes and the Effects of High Frequencies on Black Hole Evaporation
- Quantum Nature of the Big Bang: An Analytical and Numerical Investigation
- Geometrodynamics of Schwarzschild Black Holes
- Loop quantization of the Schwarzschild black hole
- Black Hole Evaporation in the Presence of a Short Distance Cutoff
- Hybrid Quantum Gowdy Cosmology: Combining Loop and Fock Quantizations
- Hybrid quantization of an inflationary universe
- Can the Universe Create Itself?
- Quantum correlations through event horizons: Fermionic versus bosonic entanglement
- Cosmological perturbations in Hybrid Loop Quantum Cosmology: Mukhanov-Sasaki variables
- Hybrid quantization of an inflationary model: The flat case
- An algebraic extension of Dirac quantization: Examples
- Quantum state of the multiverse
- New "Bigs" in cosmology
- Conditional Symmetries and the Canonical Quantization of Constrained Minisuperspace Actions: the Schwarzschild case
- Ringholes and closed timelike curves
- Interacting universes and the cosmological constant
- Hilbert space of wormholes
- The trans-Planckian problem as a guiding principle
- Observing other universe through ringholes and Klein-bottle holes
- Inflationary Perturbations in Anisotropic, Shear-Free Universes
- Maximally extended, explicit and regular coverings of the Schwarzschild - de Sitter vacua in arbitrary dimension
- Image of another universe being observed through a wormhole throat
- Is the Exponential of the Chern-Simons Action a Normalizable Physical State?
- Observable effects from spacetime tunneling
- Reality Conditions in Nonperturbative Quantum Cosmology
- Influence of Rotation on the Amount of Phantom Matter around wormholes
- Wormholes as Basis for the Hilbert Space in Lorentzian Gravity
- Local quanta, unitary inequivalence, and vacuum entanglement
- Perdurance of multiply connected de Sitter space
- Decoherence in an accelerated universe
- Beyond the Horizon
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- Vacuum decay in an interacting multiverse
- Conceptual Challenges on the Road to the Multiverse
- Multi-partite analysis of average-subsystem entropies
- Time-covariant Schrödinger equation and invariant decay probability: The -Kantowski-Sachs universe