Dark Energy Stars, AdS/CFT, and High Tc

TL;DR

This paper explores the analogy between the physics near black hole horizons and high-temperature superconductors, using AdS/CFT correspondence and superfluid critical behavior to provide new insights into space-time and condensed matter physics.

Contribution

It introduces a geometric interpretation of critical behavior near horizons via AdS space and links it to high Tc superconductor models with strong spin-orbit interactions.

Findings

Critical behavior near horizons can be modeled by superfluid critical points.

A layered conductor model explains the connection between space-time and high Tc superconductors.

Geometrical interpretation of horizon physics via AdS space enhances understanding of black hole thermodynamics.

Abstract

As developed previously the physical behavior of space-time near to an event horizon can be surmised from the behavior of a superfluid near to a critical point where the speed of sound vanishes. In this talk we note that this critical behavior can be given a geometrical interpretation by regarding the tuning parameter as a radial coordinate for anti-de Sitter space. We also draw attention to a mathematical model for a layered conductor with strong spin-orbit interactions which provides a physical explanation for why the behavior of space-time near an event horizon is related to the behavior of high Tc superconductors.