ERRATUM (2026-06-09). CLXVII-1 (the 'clean zero-parameter 3D test' I3D*kF² = pi (xi*kF) ² vs Ku+2012) is WITHDRAWN, on three independent grounds: (1) dimensional inconsistency (I3D = integral d3r has units length³, so I3D*kF² is a length, not the dimensionless RHS; correct group is I3D*kF³) ; (2) false premise -- it assumes gᵤpdown (r->0) ->0, but the exact Tan relation g2ᵤpdown= (I/16pi²) (1/r² - 2/ar) DIVERGES as 1/r², so the integral is contact-contaminated; (3) Ku+2012 is a thermodynamic EoS measurement with no real-space g (r) to integrate. CLXVII-2 (the 2D dip-only, one-parameter ~15% qualitative support) stands. Files: original paper + erratum. ---- Paper CLXVI proposed the excluded-area sum rule R 1 −gpair (r) d2r = πξ2 for the strongly-interacting Fermi gas, motivated by bulk-channel exclusion of Cooper pairs in the brane-bulk framework. Direct application to the 2D AFQMC data of Daix et al. (2026, PRL 136, 153402; arXiv: 2504. 01885) reveals a subtlety: in 2D, the pair correlation g↑↓ (r →0) diverges logarithmically (as log2 (kF r), following Werner and CLXVII-2 (2D dip region only): Idip ·k2 F ≈π (ξexcl ·kF) 2 restricted to g < 1. Applied to Daix et al. 2026 at crossover η ≡log (kF a2D) = 1. 0–1. 2, the triangular- dip integral evaluates to Idip · k2 F ≈2. 76, matching π (ξkF) 2 ≈2. 77 for ξkF ≈0. 94–1. 0 — qualitative support within ∼15% without any free parameter. The 20–22% BCS violation (pair dip depth) and the location kF r ∼2 are both consistent with bulk-channel exclusion. The clean zero-parameter test requires 3D unitary gas data. Part of the One-Octonion Brane-Bulk Framework series. Anchor DOI: 10. 5281/zenodo. 19120873. Community: one-octonion-brane-bulk. Author: Bharathi Dasan Jagadeesan, M. D. , University of Minnesota. ORCID: 0000-0002-1143-941X.
Bharathi Jagadeesan (Tue,) studied this question.