Routing (electronic design automation)

Quantum mechanics

Micro black hole

Theoretical physics

Gravitation

Mathematical physics

Quantum gravity

Entropy (arrow of time)

Computer science

Semiclassical physics

Black hole information paradox

Black hole thermodynamics

Computer network

Routing protocol

Physics

Quantum entanglement

Hawking radiation

Mathematics

Optics

Link-state routing protocol

Geometry

Quantum

Black hole (networking)

Wedge (geometry)

Journal of High Energy Physics

A bstract We consider a gravity theory coupled to matter, where the matter has a higher-dimensional holographic dual. In such a theory, finding quantum extremal surfaces becomes equivalent to finding the RT/HRT surfaces in the higher-dimensional theory. Using this we compute the entropy of Hawking radiation and argue that it follows the Page curve, as suggested by recent computations of the entropy and entanglement wedges for old black holes. The higher-dimensional geometry connects the radiation to the black hole interior in the spirit of ER=EPR. The black hole interior then becomes part of the entanglement wedge of the radiation. Inspired by this, we propose a new rule for computing the entropy of quantum systems entangled with gravitational systems which involves searching for “islands” in determining the entanglement wedge.

The Page curve of Hawking radiation from semiclassical geometry