Black hole graviton and quantum gravity

TL;DR

This paper proposes that virtual gravitons with high momentum can create black hole geometries, leading to a vanishing propagator and potentially enabling a finite quantum gravity theory in four dimensions.

Contribution

It introduces a novel hypothesis linking high-momentum virtual gravitons to black hole formation, impacting quantum gravity formulations.

Findings

High-momentum virtual gravitons may form black holes.

Graviton propagator vanishes beyond a threshold, simplifying calculations.

Supports the development of ultraviolet-finite quantum gravity theories.

Abstract

Drawing from a thought experiment that we conduct, we propose that a virtual graviton gives rise to a black hole geometry when its momentum surpasses a certain threshold value on the Planck scale. This hypothesis implies that the propagator of a virtual graviton, that possesses momentum surpassing this threshold, vanishes. Consequently, a Feynman diagram containing this type of graviton propagator does not add to the overall amplitude. This mechanism suggests the feasibility of formulating an ultraviolet-finite four-dimensional quantum gravitational theory. The elementary particles including the gravitons are treated as point particles in this formulation.