Paper 82: Directional Fine-Structure Constant from Polyhedral Tiling Anisotropy in the Holosphere Lattice
Year: 2025
Type: article
Abstract: This paper explores how the geometry of nature’s “tiling” at the smallest scales may subtly shape one of physics’ most famous constants — the fine-structure constant (alpha). Building on the boundary–bulk recursion model from Paper 81, we show that while alpha stays globally fixed, the inevitable topological defects in spherical tilings (like pentagons in a hexagonal grid) create tiny, directional variations (delta alpha over alpha of n-hat). We test four distinct geometries — icosahedral hexagonal, cubic square, tetrahedral triangular, and quasicrystalline — and find each leaves a unique “fingerprint” in the sky, expressed as symmetry-specific peaks in the multipole spectrum (ell = 6, ell = 4, ell = 3, and a suppressed low-ell spread, respectively). Numerical simulations predict variation levels of 10^-9 to 10^-11, potentially within reach of cutting-edge spectroscopy and atomic clock experiments. The same patterns are expected to appear in the cosmic microwave background (CMB) through a shared strain field, meaning a laboratory detection could directly link particle physics and cosmology. This gives us a rare, testable bridge between the deep geometry of the universe and one of its most precisely measured numbers.
Author: Sarnowski, Michael
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W6912373833
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