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General Relativity and Quantum Cosmology, gr-qc
Abstract:
We describe the black hole evaporation process driven by the dynamical
evolution of the quantum gravitational degrees of freedom resident at the
horizon, as identified by the Loop Quantum Gravity kinematics. Using a parallel
with the Brownian motion, we interpret the first law of quantum dynamical
horizon in terms of a fluctuation-dissipation relation applied to this
fundamental discrete structure. In this way, the horizon evolution is described
in terms of relaxation to an equilibrium state balanced by the excitation of
Planck scale constituents of the horizon. We investigate the final stage of the
evaporation process and show how, from this setting, the emergence of several
conservative scenarios for the information paradox can be microscopically
derived. Namely, the leakage of part of the horizon quantum geometry
information prior to the Planckian phase and the stabilization of the hole
surface shrinkage forming a massive remnant, which can eventually decay, are
described.