The Measure Cannot See the Sheet: Measure-Theoretic Requirements and Paper #235's Second Door

Works paper #235's Door two (item D-220-237-64, grade B) at its Wave 21 surviving shape -- clauses (a)-(e) -- by the second horn: an exhaustion of a newly stated class. Gates reproduce, digit-for-digit and in order, paper #235's printed exhibits, packet #509's orbitwise exhaustion (128 admitted-orbit sets, 16 excluding all three P2 discards, 0 exceptions), packet #518's relational exhibits (pair condition 22 of 128 with 6 unbounded satisfiers and all 98 mixed sets violating; ordering condition 8 of 128, the kept spectrum not among them), packet #527's Casimir-and-multiplicity exhibits (72 profiles, 32 flip-fixed, 48 twin pairs, 120 of 120, m-squared >= 0 at 64 sets with 48 of 64), and packet #534's topological exhibits (24 profiles, 120 of 120, no-whole-line member at 64 sets with 48 of 64). The new class M is the requirements whose satisfaction depends only on the Lebesgue measure of the admitted orbits' energy supports. The reflection of the energy line preserves Lebesgue measure, so the sheet-flip preserves every class-M profile: the 128 sets collapse to 14 distinct profiles, and every particle-containing set shares its fibre with a negative-admitting spectrum and with a tachyon-admitting spectrum (120 of 120, each way) -- class M performs neither half of P2's joint discard, where the Casimir and topological classes each performed the tachyonic half. The spectrum P2 returns has a 20-set fibre: 16 admit a negative class, 10 admit the tachyon, 1 (itself) excludes all three discards. The class's strongest member, 'every admitted support has finite measure', satisfies 2 sets and no particle spectrum. The class cannot state boundedness-below, so clause (c) is passed for free and buys nothing. Disposition: strengthened in pricing a sixth time, not closed; clauses (a)-(e) unchanged; the exhausted classes now stand at five; the count of three postulated inputs, zero derivations stands unchanged. Quantum gravity NOT SOLVED; vacuum catastrophe NOT SOLVED.