Holographic Charge Excitations on Horizontal Boundary

TL;DR

This paper explores how matter and Hawking radiation can excite nontrivial horizontal charge states on a BTZ black hole horizon, providing insights into black hole information and entropy through quantum horizontal symmetry.

Contribution

It demonstrates that matter can excite horizontal charges without breaking integrability, linking horizon states to information imprinting and black hole entropy.

Findings

Matter excites horizontal charges on the horizon.

Horizontal charges remain integrable despite matter effects.

Black hole states fluctuate ergodically in thermal equilibrium.

Abstract

We argue that states with nontrivial horizontal charges of BTZ black hole can be excited by ordinary falling matter including Hawking radiation. The matter effect does not break the integrability condition of the charges on the horizon. Thus we are able to trace the proccesses in which the matter imprints the information on the horizon by use of the charged states. It is naturally expected that in the thermal equilibrium with the Hawking radiation the black hole wanders ergodically through different horizontal states due to thermal fluctuation of incoming matter. This fact strengthens plausibility of the basic part of Carlip's idea. We also discuss some aspects of the quantum horizontal symmetry and conjecture how the precise black hole entropy will be given from our point of view.