Property 6 as written has no truth value: holding the sigma-band fixed at [0.7, 0.9] and changing only the height window flips DISTINGUISHES versus VACUOUS, and every repair that still distinguishes collapses to RH itself or the Euler product.
hunts/gate5_p6_c (Record 19 of 98 in chronological sequence)
Guiding Question
Does gate-5 property 6 (no zeros of the completed function in a box strictly off the critical line) distinguish zeta from the three battery rivals, or is it vacuous?
Method & Verification
Parameters were preregistered at c29c876 before any winding number was computed; holding sigma in [0.7, 0.9] and changing only the height window flipped the Davenport-Heilbronn verdict, and the Epstein arm on the two high boxes was declared out of budget.
Lineage & Relationships
Primary Sources (at pin 8fa46e134)
Editorial Notes
RESULTS status is settled in the sense that matters, and explicitly not settled in one arm. Disposition is qualified for that split. The well-posedness finding is retained. dps was changed from the preregistered 20 to a height-dependent rule and recorded as a deviation; that is a method fact, not a silent upgrade.
Date Provenance
commit c1b16df1570dc45d75f816e934d298c606292adf, hunts/gate5_p6_c/RESULTS.md, author 2026-08-14T03:24:41Z