A Unified Generative Theory of Crystal Formation via Pivot–Hole Geometry and D-Modules
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Abstract
This paper presents a unified generative theory of crystal formation integrating pivot–hole geometry, D-modules, torsion, Frobenius angles, and derived layering, reconstructing band structures as spectral data and formalizing crystal generation as a derived functorial process.
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View paper (DOI)Open access versionOpenAlexZenodo (CERN European Organization for Nuclear Research)Published 2026-08-25
Authors: Shin Tamaki