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Theoretical analysis uncovers a unified generative model for crystal formation, demonstrating band structure reconstruction via derived functorial processes.
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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Shin Tamaki (2026) studied this question.
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