Deformed Density Matrix and Quantum Entropy of the Black Hole

TL;DR

This paper applies a density matrix deformation approach to black hole quantum theory, exploring the information paradox, black hole entropy after evaporation, and holographic principle consistency.

Contribution

It introduces a novel application of density matrix deformation to black hole physics, addressing entropy and information paradox issues.

Findings

Analysis of black hole entropy using density matrix deformation

Insights into the information paradox and black hole remnants

Discussion on holographic principle consistency

Abstract

In the present work the approach - density matrix deformation - earlier developed by the author to study a quantum theory of the Early Universe (Planck's scales) is applied to study a quantum theory of black holes. On this basis the author investigates the information paradox problem, entropy of the black hole remainders after evaporation, and consistency with the holographic principle. The possibility for application of the proposed approach to the calculation of quantum entropy of a black hole is considered.