The Gravitational Constant as a quantum mechanical expression

TL;DR

This paper derives a quantum mechanical expression for the gravitational constant using a process involving pi-mesons and relates it to the Higgs boson, suggesting a potential link between gravity and quantum field theory.

Contribution

It presents a novel derivation of the gravitational constant as a quantum mechanical quantity based on a specific physical process involving mesons.

Findings

Quantum mechanical formula for G derived from meson model

Proposed relationship between G and the Higgs boson

Potential for experimental verification of the formula

Abstract

A quantitatively verifiable expression for the Gravitational Constant is derived in terms of quantum mechanical quantities. This derivation appears to be possible by selecting a suitable physical process in which the transformation of the equation of motion into a quantum mechanical wave equation can be obtained by Einstein's geodesic approach. The selected process is the pi-meson, modeled as the one-body equivalent of a two-body quantum mechanical oscillator in which the vibrating mass is modeled as the result of the two energy fluxes from the quark and the antiquark. The quantum mechanical formula for the Gravitational Constant appears to show a quantitatively verifiable relationship with the Higgs boson as conceived in the Standard Model.