Binary Black Hole Information Loss Paradox and Future Prospects.

Ayan Mitra,Vasilios Zarikas,Pritam Chattopadhyay,Goutam Paul

doi:10.3390/e22121387

Abstract

Various techniques to tackle the black hole information paradox have been proposed. A new way out to tackle the paradox is via the use of a pseudo-density operator. This approach has successfully dealt with the problem with a two-qubit entangle system for a single black hole. In this paper, we present the interaction with a binary black hole system by using an arrangement of the three-qubit system of Greenberger–Horne–Zeilinger (GHZ) state. We show that our results are in excellent agreement with the theoretical value. We have also studied the interaction between the two black holes by considering the correlation between the qubits in the binary black hole system. The results depict a complete agreement with the proposed model. In addition to the verification, we also propose how modern detection of gravitational waves can be used on our optical setup as an input source, thus bridging the gap with the gravitational wave’s observational resources in terms of studying black hole properties with respect to quantum information and entanglement.

Highlights

At the turn of the 20th century, Einstein formulated the general theory of relativity (GR) [1].With its development, our basic understanding of the fabric of the Universe became mathematically more clear
We do not need this term for our analysis here, but from the point of view of gravitational wave propagation, the evolution of background cosmology is governed by an FLRW universe, and for completeness, we presented the Einstein equation with the cosmological constant term)
We will present a work, based on similar principles, where we will apply this formalism in a binary black hole system and show it can be successfully analyzed with a three-qubit system for binary black hole system and measurements of this generates pseudo-random state operators which are in excellent agreement with the theoretical values

Summary

Introduction

At the turn of the 20th century, Einstein formulated the general theory of relativity (GR) [1]. In their paper [24], they have proposed a new approach to tackle this problem while not disturbing the existing framework of the black hole information paradox, of the violation of monogamy principle and the black hole evaporation process occurring simultaneously Instead, they applied a pseudo-density operator (PDO) to account for temporal and spatial entanglement between maximally entangled particles inside and outside of the black hole event horizon. We will present a work, based on similar principles, where we will apply this formalism in a binary black hole system and show it can be successfully analyzed with a three-qubit system for binary black hole system and measurements of this generates pseudo-random state operators which are in excellent agreement with the theoretical values.

Background

Analysis

Method

Gravitational Waves as a Context

Conclusions and Discussions