Validity of black hole complementarity in the context of generalized uncertainty principle

TL;DR

This paper examines how the generalized uncertainty principle affects black hole thermodynamics and confirms that black hole complementarity remains valid, as the energy needed to clone information exceeds the black hole's mass.

Contribution

It provides a detailed analysis of temperature corrections and energy requirements for information duplication under various GUP forms, reaffirming the no-cloning theorem.

Findings

Required energy to duplicate information exceeds black hole mass

GUP corrections do not violate black hole complementarity

No-cloning theorem remains valid under GUP modifications

Abstract

Recently, Elias C. Vagenas et al and Yongwan Gim et al studied the validity of the no-cloning theorem in the context of generalized uncertainty principle (GUP), but they came to conflicting conclusions. With this in mind, we investigate the corrections to the temperature for Schwarzschild black hole in the context of different forms of GUP, and obtain the required energy to duplicate information for the Schwarzschild black hole, it shows that the required energy is greater than the mass of black hole, i.e. the no-cloning theorem in the present of GUP is safe.