Erratum confirms no observable impact on SGCC alignment from CMB cross-correlation in cosmology.
ERRATUM (v2, 2026-07-04) — Reinterpretation of the eps_pv constraint. The methodology, the null cross-correlation results (chi2_XE = 0.01, chi2_XB = 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 epsilon_pv = 0" (parity-conserving regime, eps_pv <= 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 eps_pv and does not constrain it. The double null result should therefore be read not as a measurement of eps_pv, 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 eps_pv is not observationally accessible through the CMB cross-correlation channel; the amplitude |T0| and eps_pv enter cosmological observables only through the product P = |T0| eps_pv^2 (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: chi2_XE=0.01, chi2_XB=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 epsilon_pv=0. Pipeline: NaMaster v2.6, healpy, WSL2 Ubuntu. Companion to Paper VIII (MN-26-1471-P).
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Ariel Fernando Martini (2026) studied this question.
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