Celestial wp5e measure decision
v520_celestial_wp5e_measure_decision.py · frontier
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CELEST.WP5E.MEASURE.01: the WP5e BCOV measure question DECIDED at probe level (delta-1e + delta-1f consolidated, v518 style) -- 'single-valuedness is derived, the completion reading wins': which of the two exact, contradictory measures on PT/Z4 is the true BCOV measure, (A) the DECLARED completion reading (v516) or (B) the DERIVED chiral measure (v518)? ERFOLG-A on the decision layer (39 checks, ~20 s). [E] INVARIANT SUBSPACE: dim_Q {v: rho(T) v = v, rho(S) v = v} = 8 = 4 x 2 in the dressed 16-component Weil system, EVERY kernel vector in the Q(zeta_8)-span of {e_H, e_H'} (the two Lagrangian gluings, both theta = E4, level-1 quartic = Q^(0) = the unphased trace); strict trivial-character solutions at (m, k) = (0, 0): ZERO for every dressing (11 combinations). [E] SOURCE 1 (F-LEMMA): the only strict chiral families chi_4 (dims (3,3)) and chi_10 (dims (1,1)) carry nontrivial T-characters exactly; pointwise covariance of the canonical column member certified (3.9e-16, |G| >= 59.6); exact change of variables => fundamental-domain independence forces int = 0 for EVERY chiral integrand -- the v518 route was never a well-defined nonvanishing moduli integral (kill sharpened). [E] SOURCE 2 (QUILLEN PAIRING): |t conj(t) - 1| < 8.3e-40 on all 15 pairs/both generators; |chi_4|^2 = 1 exact vs one-sided chi_4^2 = e(2/3) != 1 (T-fixed: 640 != 0 mod 960, 15/15 defective); the doubled 256-dim hol x antihol system closes strictly at trivial character and physical weight (nullspaces (28, 17) >= 11), contains the unphased diagonal (~2e-15) AND the physical columns w_b (x) conj(w_b) (sigma 4.9e-16/8.3e-16); negative control hol (x) hol: empty nullspace (0, 0). [E] CONSISTENCY CLOSURE: the forced unphased numerator in the v518 scaffold reproduces sum_m V prop (1, 2, 1, 0, 0) = <x,x>^2 exactly on every level n <= 8; J-weighted spreads ~5e-41, T5/T3 ~7e-42, zero negative cells; psi(skeleton) = +0.2302 = -psi(contact), the J-weighted mirror image of psi(A_fix) = +64 / psi(contact) = -64; linearity 4.6e-41 -- the circle to v516 is closed. [E] D3 Z2/EH ANCHOR: only the declared reading hits (9<x,x>^2 = (1/4) x 36, psi = -8, scale tooth c = 1/2 = |Z2| h^(A1)); all three derived instantiations fail (spreads 1.12/0.895/0.516, psi sign wrong). [E] D1 COLUMN CANONICALISATION: the physical AB column sum_m i^(bm) e_(m,m) is EXACTLY contained in the chi_4 family (sigma 1.8e-16/1.7e-16, one scalar per orbit -- canonicalises the (N1, N2) freedom); the canonical member still fails all testers. [E] NEGATIVE CONTROLS: SO(16)/D8 (T5 = 20/T3 = -40 exact, mu_2-only), wrong form (|Gauss|^2 = 64), wrong weight (dev 0.78), shuffle (T5 = -14/T3 = 36), planted family detected (1.5e-16), hol (x) hol empty. [C] TYPED PREMISES (the mandatory fence): TP-1 (F-independent moduli integral), TP-2 (nonvanishing -- must source psi = 64), TP-3 (v518 kernel convention), TP-4 (Quillen structure of BCOV F1). [O] the constructive BCOV derivation of the w_m normalisation itself. VERDICT: ERFOLG-A per the preregistered criteria (both sources independent, the consistency closure carries); the [O] question 'which is the true BCOV measure' is DECIDED at probe level in favour of (A) under TP-1..TP-4. SEAM.EQUIV.TWISTOR.01 stays Open; NO marker moves.
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