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.
Highlights
The quantum mechanical behavior of black holes is an ongoing topic started by Hawking [1]
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 investigate whether the natural cone together with explicit time dependence is enough to describe the interior operators of most typical states
Summary
The quantum mechanical behavior of black holes is an ongoing topic started by Hawking [1]. The Firewall paradoxes of AMPS [2,3,4] have formalized the problems surrounding the quantum mechanics of black holes These problems persist for large black holes in AdS. We explore whether something similar can happen for typical pure state large black holes in AdS, i.e. whether explicit time dependence is enough to avoid the firewall paradoxes. This paper is organized as follows: In section 2, we will discuss explicit time dependence in the case of the thermofield double state, the basics of Tomita-Takesaki theory, and the construction of the state-dependent interior operators called the mirror operators.
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