Dark Energy Stars and AdS/CFT

TL;DR

This paper explores how dark energy stars can be modeled using geometries similar to anti-de-Sitter space, linking quantum criticality with gravitational and astrophysical phenomena through the AdS/CFT correspondence.

Contribution

It proposes a geometrical interpretation of matter near quantum critical phase transitions as an AdS-like space, connecting astrophysics with quantum criticality and holography.

Findings

Geometry inside and outside the horizon resembles 5D AdS space.

AdS/CFT correspondence applies to the surface of compact objects.

Superfluid transition in chiron gas may model quantum criticality in space-time.

Abstract

The theory of dark energy stars illustrates how the behavior of matter near to certain kinds of quantum critical phase transitions can be given a geometrical interpretation by regarding the criticality tuning parameter as an extra dimension. In the case of a superfluid with vanishing speed of sound, the implied geometry resembles 5-dimensional anti-de-Sitter. In a dark energy star this geometry applies both inside and outside the horizon radius, so the AdS-CFT correspondence is consistent with the idea that the surface of a compact astrophysical object represents a quantum critical phase transition of space-time. The superfluid transition in a chiron gas, which was originally proposed as a theory of high temperature superconductivity, may provide an exact theory of this transition.