A Possible Quantum Effect of Gravitation

TL;DR

This paper proposes a quantum gravity model based on the ADM formulation, predicting an upper energy limit for particles near horizons, which aligns with observed cosmic ray energies.

Contribution

It introduces a novel quantum gravity model that predicts an upper energy bound for particles, connecting black hole thermodynamics with high-energy cosmic rays.

Findings

Predicts an energy upper bound for protons (~1.1×10^{21} eV)

Aligns the energy bound with the highest cosmic ray energies

Extends black-hole thermodynamics to quantum gravity context

Abstract

Beginning from the standard Arnowitt-Deser-Misner (ADM) formulation of general relativity we construct a tentative model of quantum gravity from the point of view of an observer with constant proper acceleration, just outside of a horizon of spacetime. In addition of producing the standard results of black-hole thermodynamics, our model makes an entirely new prediction that there is a certain upper bound for the energies of massive particles. For protons, for instance, this upper bound is around $1.1\times 10^{21}eV$. The result is interesting, because this energy is roughly of the same order of magnitude as are the highest energies ever measured for protons in cosmic rays.