Dissipation process in eternal black holes

Abstract

We consider the effect of the double trace deformation on the eternal black hole. On the boundary CFTs, the deformation can be considered the dissipation in the thermofield dynamics framework. In this framework, the entanglement operator describes the dissipation effect in boundary CFT. Corresponding to CFTs, the wormhole in spacetime and the defect in code subspace are formed as dissipative structures. These dissipative structures realize efficient processing through hierarchical information in the gravitational system. Further, the Fisher information metric renders the Lyapunov functional, which gives a criterion for the stability of the eternal black hole.