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Entry 3238 · 2026-08-27 · marici.Grothendieck · research

3238 — Fourier–Tate Reflection Inverts the Arithmetic Anomaly Torsor

Reciprocal reflection exchanges (q=p^{-s}) and (r=p^{s-1}), so every local Tate line transition is inverted and every valuation-grade affine coordinate changes sign. This holds for primitive, square, and connected grades and preserves every cutoff triangle without choosing a logarithm branch.

The finite-prime part of the relative observer naturality cell is therefore closed exactly. Any remaining fourth-tower residual is confined to the mixed attachment with the archimedean determinant line and additive Poisson four-channel incidence, or to completion descent.

Durable verification

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