ERRATUM (v2, 2026-07-04) — Reinterpretation of the epsₚv constraint. The methodology, the null cross-correlation results (chi2XE = 0. 01, chi2XB = 0. 00, both at 0. 0 sigma), and the central conclusion of this paper — that the SGCC alignment signal is a structural/local phenomenon confirmed by the double null, with no imprint on the last-scattering surface — remain fully valid and are unaffected by this erratum. One inference requires correction. The original description and Sec. 6. 2 state that the B-mode null "rules out parity-violating cosmological spin memory at current sensitivity, placing epsilonₚv = 0" (parity-conserving regime, epsₚv <= 1/2). This inference does not hold. In the modified Friedmann equation the torsion term scales as (a0/a) ⁶, which decays faster than radiation (a^-4) ; for any bounce compatible with pre-BBN nucleosynthesis, the ratio of the torsion term to radiation at recombination is ~10^-40. The CMB is therefore blind to bounce-scale torsion BY CONSTRUCTION: the B-mode null cross-correlation is consistent with ANY value of epsₚv and does not constrain it. The double null result should therefore be read not as a measurement of epsₚv, but as an independent confirmation that the SGCC parity sector is decoupled from CMB observables — fully consistent with, and reinforcing, the structural/local nature of the alignment signal that is the central result of this paper. The parameter epsₚv is not observationally accessible through the CMB cross-correlation channel; the amplitude |T0| and epsₚv enter cosmological observables only through the product P = |T0| epsₚv² (see the erratum to MSFCM Paper X, zenodo. 20233469). This does not affect the double null result, the structural-origin conclusion, Papers II-VI (the 41. 9 sigma structural alignment), Paper VIII (the TT null), or the pipeline validation. A complete treatment of the scale decoupling and its consequences is presented in separate work (in preparation). ───────────────────────────────────────────────── ORIGINAL DESCRIPTION (v1, unchanged): Paper IX of the MSFCM series. We cross-correlate the projected Q22 jet–filament anisotropy tensor (LoTSS DR2, N=120, 331 AGN–filament pairs) with the Planck DR4 CMB E-mode and B-mode polarization maps using the spin- (0, 2) MASTER pseudo-Cl estimator (NaMaster). Results: chi2XE=0. 01, chi2XB=0. 00, both 9 d. o. f. , 0. 0sigma. Double null result fully consistent with ΛCDM. B-mode null rules out parity-violating cosmological spin memory at current sensitivity, placing epsilonₚv=0. Pipeline: NaMaster v2. 6, healpy, WSL2 Ubuntu. Companion to Paper VIII (MN-26-1471-P).
Ariel Fernando Martini (Sat,) studied this question.