The truncated Weil quadratic form: inertia, visibility, structural measurements, and no-go theorems for the Riemann Hypothesis

We record observations on the truncated (window) Weil quadratic form that, to our knowledge, are not stated explicitly in the literature as of October 2026, together with negative results and retracted claims. None of this proves or approaches a proof of the Riemann Hypothesis. The aim is to save future researchers (human or AI) from re-deriving these connections, and to give a clear picture of what does not work: which routes fail, and exactly why. Main content: an inertia identity counting negative directions of the window form through a 2×2 fiber matrix attached to the poles of ζ; no-go theorems with proofs, including a blind zone uniform in height (off-line zeros shallower than an explicit depth are invisible to any window of given length), an exact height-dependent invisibility criterion, a Krein-type indistinguishability corollary, a finite-jet no-go, an obstruction to making the Conrey–Ghosh–Gonek method unconditional, the Beurling-blindness of Selberg-identity arguments, a two-sided fake-world barrier, the non-existence of a Selberg-class tensor square, and the absence of log p from arithmetic geodesic length spectra; the Connes–Consani–Moscovici ground state reproduced by one linear solve against the pole function; saturation of the window reproducing kernel at every in-band zeta zero; a visibility function and per-zero accuracy law; structural measurements (positivity is all-or-nothing over the primes; function fields have an exact radical where ζ has a knife-edge); a catalogue of dead routes with precise kill reasons; and the SR/Rees matrix program with its Lean 4 results, operator-candidate search and archive searches. Code, data, outputs and supplementary ledgers: https://github.com/loganeberwein6/Logan-Eberwein-RH-Weil-Window