Classical versus quantum completeness
Stefan Hofmann, Marc Schneider
TL;DR
This paper explores the concept of quantum completeness in curved space-times, demonstrating that Schwarzschild black holes are quantum complete despite being geodesically incomplete.
Contribution
It adapts quantum-mechanical completeness to quantum field theory in curved space-times and shows Schwarzschild black holes are quantum complete.
Findings
Schwarzschild black holes are quantum complete.
Quantum completeness differs from geodesic completeness in curved space-times.
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.
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