Entropies for Gravitational Systems from Simplicial Lorentzian Path Integrals
Dublin Institute for Advanced Studies DIAS via YouTube
Overview
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Explore advanced theoretical physics concepts in this conference talk examining how gravitational entropies can be computed using Lorentzian path integrals rather than problematic Euclidean methods. Learn about recent developments that address the conformal factor problem in Euclidean geometry path integrals and discover how real-time path integrals can recover de Sitter horizon entropy by computing Hilbert space dimensions for spatial regions. Investigate the application of these methods to black hole physics, particularly the computation of swap entropy in evaporating black holes, which is crucial for understanding the replica paradigm resolution of the black hole information paradox. Examine Quantum Regge Calculus as a lattice-based approach to quantum gravity that enables concrete implementations of these theoretical scenarios, providing insights that extend beyond traditional continuum methods. Understand how this perspective clarifies fundamental aspects of gravitational path integrals and explore its potential implications for related approaches including causal dynamical triangulations and spin foams, where Regge-like formulations serve essential roles in quantum gravity research.
Syllabus
Entropies for Gravitational Systems from Simplicial Lorentzian Path Integrals
Taught by
Dublin Institute for Advanced Studies DIAS