2598 — Theta Connected Prime-Power Dirac Flux Is Exact at Finite Support
The determinant-line logarithm weights each reciprocal (p^k) ingress circuit by (1/k). This cancels the factor (k) generated by differentiating the Mellin character and yields the exact connected coefficient (log p). The divided diagonal energy at one prime is
Thus the finite Euler packet carries a canonical positive von Mangoldt Dirac current. Its all-prime sum still diverges, placing the remaining problem in typed archimedean and seam completion rather than prime-power normalization.
Durable verification
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