The Asymmetry Cannot See the Line: Spectral-Asymmetry Requirements and Paper #235's Second Door

Works paper #235's Door two (item D-220-237-64, grade B) at its surviving shape -- clauses (a)-(e) -- by the second horn: an exhaustion of a newly stated seventh class. Gates reproduce, digit-for-digit and in order, paper #235's printed exhibits, paper #509's orbitwise exhaustion (128 admitted-orbit sets, 16 excluding all three P2 discards, 0 exceptions), paper #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), paper #527's Casimir-and-multiplicity exhibits (72 profiles, 32 flip-fixed, 48 twin pairs, 120 of 120), paper #534's topological exhibits (24 profiles, 120 of 120), paper #540's measure-theoretic exhibits (14 profiles, the actual spectrum's 20-set fibre, 120 of 120 each way), and paper #552's spectral exhibits (36 profiles, the actual spectrum's 8-set fibre at 6 negative-admitting / 2 tachyon-admitting / 1 excluding, 120 of 120 on the negative half and 92 of 120 on the tachyonic half). The new class E is the requirements whose satisfaction depends only on the admitted spectrum's signed heat trace -- equivalently its eta data, equivalently the phase of its regularised determinant; the determinant's modulus is paper #552's unsigned-trace datum and is expressly split off. The signed integrand is odd, so the sheet pairs carry opposite signed traces, the tachyonic orbit's signed trace vanishes identically, and the vacuum's vanishes with it: the 128 sets collapse to 12 distinct profiles (signed counts x in -1..1, y in -1..2, recovered from the trace exactly). The actual spectrum's fibre is 4 sets -- 0 negative-admitting, 2 tachyon-admitting, 2 excluding -- so the negative half of the joint discard is performed at the spectrum P2 returns, the first half-performance there in the line, while the tachyonic half is performable nowhere (120 of 120 particle-containing sets share their fibre with a tachyon-admitting spectrum, by toggling the tachyonic orbit). The class has no clean profile at all. Disposition: strengthened in pricing an eighth time, not closed; clauses (a)-(e) unchanged; the exhausted classes now stand at seven; the count of three postulated inputs, zero derivations stands unchanged. Quantum gravity NOT SOLVED; vacuum catastrophe NOT SOLVED.