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Explore a General Relativity seminar presentation that delves into the intricate relationship between Euclidean black hole 1-loop determinants and renormalized thermal canonical partition functions for free fields in Lorentzian signature. Learn how quasinormal mode (QNM) characters play a crucial role in computing spectral densities of single-particle Hamiltonians, with specific focus on applications in de Sitter space static patches. Discover new insights into QNM characters, including their connections to local density of states in Klein-Gordon equation quantum mechanics and thermal correlators of free fields. Examine potential implications for extending these concepts to interacting theories, bridging fundamental aspects of horizon thermodynamics with real-time observables in theoretical physics.
