Séminaire de Physique ThéoriquePlanck scale arithmetic geometry of AdS2 BH horizons
Emmanuel Floratos (Democritos Nucl. Res. Ctr. & Athens U.)
Monday 04 November 2019 14:00 - Tours - Salle 1180 (Bât E2)
We present and study in detail the construction of a discrete and finite arithmetic geometry AdS2[N] and show that an appropriate scaling limit exists, as N→∞, that can be identified with the universal AdS2 radial and time near horizon geometry of extremal black holes. The AdS2[N] geometry has been proposed as a toy model for describing the nonlocal and chaotic dynamics of the horizon microscopic degrees of freedom, that carry the finite black hole entropy. In particular, it supports exact quantum mechanical bulk-boundary holography for single-particle wave packet probes, that possess an N−dimensional Hilbert space of states. This construction amounts, in fact, to a compression of the information about the continuous AdS2 geometry and it provides an example of a framework for the study of quantum complexity of spacetime geometries.