Newton's Constant from Spectral Geometry: Deriving G from the \(S^3\) Dirac Spectrum and Heat-Kernel Asymptotics
Year: 2026
Type: preprint
Abstract: This paper is the final paper of Series III within the Spectral Bifurcation Cosmology (SBC) research suite. Based on the compact three-sphere spectral geometry established in the previous three companion papers, we rigorously derive Newton’s gravitational constant G from the Dirac operator heat-kernel asymptotics without any free fitting parameters. The derived theoretical value matches CODATA 2018 measured data within 0.1% error. This work completes the full geometric derivation chain covering the cosmological constant, cosmic expansion, Standard Model gauge symmetry, and gravitational constant, forming a unified zero-parameter theoretical framework of spacetime and particle physics.
Author: Zhao, Qian
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7171873170
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