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Explore advanced concepts in quantum gravity and cosmology through this 43-minute conference talk examining the Hartle-Hawking wavefunction in the context of de Sitter black holes. Delve into the Schwarzschild-de Sitter solution and learn how it enables computation of the Hartle-Hawking wavefunction of the universe on a spatial circle times a sphere. Discover how the wavefunction's norm can be evaluated in the semiclassical limit and compared to the on-shell action of the Euclidean Nariai geometry. Examine new findings that clarify the crucial role quantum corrections to the wavefunction play in this theoretical framework. Investigate the calculation of the path integral phase on Nariai geometry to determine whether it can be interpreted as a norm at the quantum level. Master a simple formula for calculating the phase of the path integral on any solution of pure gravity. Learn about ongoing research exploring an alternative interpretation of Nariai geometry as a tool for computing the nucleation rate of black holes in de Sitter spacetime, providing insights into fundamental questions about quantum aspects of black holes and the nature of spacetime itself.
