Cosmic Crystallization: How Icosahedral Geometry Wrote the CMB

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Authors: Clifford Keeble
Cited by: 2
References: 2

Abstract

We show that cosmic recombination parameters emerge from icosahedral geometry with remarkable precision. The binding threshold 53 = E + F + D gives recombination temperature T_rec = 2979 K (99.3% match). The face-vertex difference F − V = 8 gives redshift z_rec = 8/α = 1098 (99.4% match). The face fraction (F−1)/F = 19/20 gives cosmic age t₀ = 13.75 Gyr (99.8% match). All three parameters derive from icosahedral constants V = 12, E = 30, F = 20, D = 3. The dimensional constant D = 3 plays dual roles: mod 3 locks IN color confinement at recombination, while mod 5 locks OUT further particle creation. The gap 55 − 53 = 2 = χ (Euler characteristic) is derived from the icosahedron's triangular face structure. Prime products confirm the boundaries with factor 3 at e^142 and factor 15 at e^184. Version 2.0 adds the dual modular lock framework, references to the Digit Gaps and Icosahedral Digital Boundary papers, timeline of crystallization, and prime product evidence.

Fields of Study & Subjects

Galaxies: Formation Evolution Phenomena Cosmology and Gravitation Theories Advanced Mathematical Theories and Applications

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
29 January 2026
Document type
Preprint