No Existence of Black Holes at LHC Due to Minimal Length in Quantum Gravity

TL;DR

This paper argues that due to the minimal length implied by the Generalized Uncertainty Principle, mini black holes cannot be produced at LHC energies, aligning with recent experimental non-detections.

Contribution

It demonstrates that quantum gravity effects impose a minimum black hole mass above LHC energies, explaining the absence of black hole detection at the collider.

Findings

Black hole formation requires energies higher than LHC capabilities.

GUP predicts a minimum black hole mass above current collider energies.

Results align with recent LHC experimental non-observations.

Abstract

We investigate the impact of the Generalized Uncertainty Principle (GUP), proposed by some approaches to quantum gravity such as String Theory and Doubly Special Relativity Theories (DSR) on the production of mini black holes, and show that the minimum black hole mass is formed at energies higher than the energy scales of LHC which possibly agrees with the recent experimental results of LHC [arXiv:1012.3375, arXiv:1206.5663] .