Black Hole's Information Group

TL;DR

This paper introduces a group-theoretic framework for understanding black hole properties, using the SO(2N+1) symmetry group to model black hole states, evaporation, and entanglement dynamics.

Contribution

It proposes a novel group-theoretic model for black holes, linking symmetry groups to black hole entropy, evaporation, and entanglement mechanisms.

Findings

Group SO(2N+1) models black hole states and entropy.

Evaporation corresponds to symmetry breaking SO(2N+1) to smaller groups.

Provides insights into Page's and scrambling times.

Abstract

We suggest a group-theoretic approach to black holes, which is remotely analogous to the eightfold-way for mesons. As the black hole symmetry group we single out the group SO(2N+1) with N the black hole entropy. The Hilbert space is identified with the spinor irrep of SO(2N+1). Evaporation processes of m-quanta are associated to the breaking SO(2N+1) to SO(2(N-m)+1) X SO(2m). Under these assumptions we get a group-theoretic understanding of the evaporation process and of some typical time scales of black holes, such as Page's and scrambling times. We also discuss from the group theory point of view the mechanism of generation of entanglement both between the black hole and the radiated quanta as well as among the black hole constituents themselves.