Quantum resonance scheme to determine the gravitational constant G

TL;DR

This paper proposes a quantum resonance method based on a semi-classical QED theory to determine the gravitational constant G using hyperfine splitting in hydrogen atoms, providing a new fundamental approach to measure G.

Contribution

It introduces a novel quantum resonance scheme grounded in semi-classical QED to accurately determine G from fundamental constants.

Findings

Measured G as 6.67221937(40)×10^(-11) N·m^2/kg^2

Confirmed G as a universal constant in free space

Validated the approach with Newton's experiment

Abstract

Building on the principles of quantum electrodynamics and special relativity, we develop a semi-classical QED theory of gravitation. The experiment model for theoretical analysis is the "hyperfine splitting" of the ground energy state of hydrogen atoms. As the verification and validation by Newton's final experiment, Newton's gravity constant G has been determined by this new approach, G = 6.67221937(40)*10^(-11) N m2 /kg2. The result shows that, the gravitational constant G is really a universal constant in free space, and can be determined just by the more fundamental constants in physics.