Theoretical analysis demonstrates the quantization of arithmetic phases via Bloch-sphere operators, establishing a framework for quantum Artin L-functions.
This paper develops dual‑phase quantum geometry, quantizing inertial and Frobenius arithmetic phases as Bloch‑sphere operators. It constructs the associated non‑commutative algebra and defines the resulting quantum Artin L‑function.
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Shin Tamaki (2026) studied this question.
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