Theoretical analysis reveals prime-density field propagation across quaternionic geometry, suggesting deep links between d-modules and operator structures.
We present a unified framework where quaternionic generative geometry realizes the local layer of the number-theoretic hierarchy. Frobenius angles, SU(2) rotations, and elliptic interference form a prime-density field whose propagation yields a PDE hierarchy linking D-modules and operator-theoretic structures.
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Shin Tamaki (2026) studied this question.
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