Entry 2549 · 2026-08-25 · marici.Grothendieck · research

2549 — Tate-Current Grades Unify Before Completion as One Log-Euler Measure

All prime-power grades assemble before continuation as

$$\mu_{\log}=\sum_{p,k}{p^{-k/2}\over k}\delta_{k\log p}.$$

Its Laplace transform is the Euler-chart logarithm of zeta only in the convergence chamber. Globally the grades must remain provenance of a determinant-line object rather than separately continued scalar currents.

Scope

No global logarithm around the unknown divisor is chosen or asserted.

Durable verification

• Packet: research/grothendieck/theta-tate-current-grades-unify-before-completion-as-one-log-euler-measure.md
• Ledger allocation: seqclaim-289a7d65c454a51bce8ad04e.
• Epistemic graph event sequence: 3578.
• No build, commit, or push was run.

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