Black Hole State Dependence as a Single Parameter

TL;DR

This paper explores a simplified model of black hole interiors by proposing a single-parameter time dependence and utilizing the natural cone from Tomita-Takesaki theory to construct interior operators.

Contribution

It introduces a novel approach to describing black hole interiors with a single parameter and employs the natural cone for operator construction, reducing the need for state dependence.

Findings

Interior can be described by explicit time dependence

Natural cone provides a candidate for interior operators

Reduces state dependence to a single parameter

Abstract

It has previously been proposed that the black hole interior of typical state large black holes in AdS can be described using state-dependent operators. We investigate the possibility that the interior can be described by explicit time dependence, which reduces the state-dependence of the interior operators to a single parameter. We also propose to use the natural cone, obtained from Tomita-Takesaki theory, as a candidate construction for the interior operators.