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Engineering Record · Semantic Revision v0.8 2026-07-25 LOWER_PROFILE_OBSTRUCTION_VANISHES

Zero-Count Coefficient Semantic Bridge

Zero-Count Semantics Bridge v0.8 — Uses an exact two-point counterexample to prove that the implicit usage in v0.2–v0.7, "the counting lower bound can be multiplied by any probability measure," is itself a false proposition; after switching to truly valid lower bound coefficients, the same obstruction convergently vanishes from 2.67 to 0.13 as the Galerkin dimension increases.

RH_CLAIM = False — The document in the package explicitly states, "The patch at height approx 20.4 is only for a prototype; Platt–Trudgian have already verified RH up to 3·10¹² using rigorous interval computation," so this synthetic target rectangle was never an unresolved actual ζ off-axis target to begin with, reproduced exactly as is.

Connections

This package corrects the coefficient direction issue discovered in the previous package, quoting its counterexample exactly as is.

"The zero-counting lower bound Lⱼ only unconditionally gives Σ H(γ) ≥ Lⱼ inf H(x). It cannot be multiplied by an arbitrarily chosen dual probability measure. The suite includes an exact two-point counterexample and a rank-one operator co-lower bound counterexample." — Excerpted from Core Conclusion II of this package's README.

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Technical Notes

Main Document — Step-by-step validity check of five semantic transfers, exact counterexample construction, re-optimization under the lower bound contour, Galerkin convergence to obstacle disappearance, and retrospective corrections to the previous six versions.

Theorem

From THEORY.md in the package.

Result Data

Validity table of five semantic transfers, five-band floating-point upper and lower bound candidates, and the Galerkin convergence sequence of the lower bound contour, from RESULTS.md within the package.

Trust Boundaries

From TRUST_BOUNDARY.md within the package.

Files

Download Complete Package (63.5 KB)

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