Collapse-Induced Unification of Physical Constants: The Structure Constants Manifold
Year: 2025
Type: article
Abstract: In the weak-field/eikonal limit, we elevate the logarithmic refractive index \(\phi=\ln n(\mathbf x)\) to a Gauss-law scalar field and propose the unified equation\[\nabla^{2}\phi \;=\; -\left(\frac{8\pi G}{c^{2}}\right)\rho(\mathbf x).\]Using an \emph{arc-length clock} (s-clock) to parametrize rays renders ray-bundle convergence linear in \(\nabla^{2}\phi\). The flux (Gauss) form provides a falsifiable certificate and enables \emph{bidirectional metrology} of \(G\) and \(c\). Numerically, a spectral Laplacian with DC normalization and multi-shell Gauss closures attains machine precision on synthetic benchmarks and \emph{sub-per-mille} closure on Abell 2744 (CATS v4): \(K_{\mathrm{ratio}}=0.99974\), Gauss medians \(0.024\%\) (\(\kappa\)-DC) and \(0.001\%\) (\(\Sigma\)-DC), and pixel correlation \(\approx 1.000000\). These results turn refraction--mass coupling into a \emph{linear}, certificate-bearing, reproducibly calibrated field theory with direct observational tests.
Author: Li, Y.Y.N.
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W6949640914
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