On the Hilbert Space of Quantum Gravity from the Gravitational Path Integral - Luca Iliesiu
Автор: Institute for Advanced Study
Загружено: 2025-12-03
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Workshop on Quantum Aspects of Black Holes and Spacetime
Topic: On the Hilbert Space of Quantum Gravity from the Gravitational Path Integral
Speaker: Luca Iliesiu
Affiliation: University of California, Berkeley
Date: December 3, 2025
Wolfensohn Hall
Does the gravitational path integral define a valid Hilbert space for open and closed universes? In this talk, I will review the positivity criteria that the gravitational path integral has to satisfy in order for all open and closed universe states to have positive norm. Although the positivity criteria appear to be highly constraining, I will describe several cases in which they are miraculously satisfied. This leads to a well defined Hilbert space where we can meaningfully discuss transition probabilities among different closed and open universe states. Using the no-boundary state as a case study, I will explain how to compute transition probabilities from this state when properly accounting for non-perturbative corrections in the gravitational path integral. Surprisingly, the resulting probabilities drastically differ from the traditional approach of Hartle and Hawking.
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