Local Thermodynamics and Rényi Bounds on Black Hole Mergers
This paper demonstrates that while Rényi entropy inequalities can theoretically strengthen the black hole merger area bound by accounting for initial correlations beyond local thermodynamics, these stronger constraints reduce to the standard area bound for equal Schwarzschild--AdS holes at leading semiclassical order, indicating that inferring tighter limits requires knowledge of initial correlations rather than yielding new dynamical instabilities or lighter remnants.