Classical versus quantum completeness

Abstract

The notion of quantum-mechanical completeness is adapted to situations where the only adequate description is in terms of quantum field theory in curved space-times. It is then shown that Schwarzschild black holes, although geodesically incomplete, are quantum complete.

5 pages

References in corpus (5)

• Quantum Probes of Spacetime Singularities
• Dynamics in Non-Globally-Hyperbolic Static Spacetimes II: General Analysis of Prescriptions for Dynamics
• Who's Afraid of Naked Singularities?
• Quantum singularity of Levi-Civita spacetimes
• The Stress-Energy Operator

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• Non-Gaussian ground-state deformations near a black-hole singularity
• Quantum probing of null-singularities
• Quantum space and quantum completeness
• Quantum Populations near Black-Hole Singularities
• Probing cosmological singularities with quantum fields: Open and closed FLRW universes
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• Geometric flavours of Quantum Field theory on a Cauchy hypersurface. Part II: Methods of quantization and evolution
• Geometric flavours of Quantum Field theory on a Cauchy hypersurface. Part I: Gaussian analysis and other Mathematical aspects
• A local diagnostic program for unitary evolution in general space-times
• Space-like Singularities of General Relativity: A Phantom menace?