Paper CXLVIII: One-Octonion Dual Hyperbolic Infundibula in Cygnus X-1: Orbital Precession of G2 Permutohedra, the 6/49 Jet Efficiency

Prabu et al. (2026, Nature Astronomy, DOI:10.1038/s41550-026-02828-3) re- port multi-epoch VLBA observations of Cygnus X-1 that resolve "dancing" compact radio jets with orbital-phase modulation, a jet speed β = 0.48 ± 0.06 c, and an astrometric centroid drift of +0.53 ± 0.01 mas/orbit (SNR ∼50). We apply the One-Octonion Brane– Bulk Framework (Papers I, V, XXVI, CXXIX, CXXXVIII) to this system and derive three zero-parameter confirmed predictions. (1) The Universal ISCO Theorem (Paper CXXIX): every compact object whose surface gravity exceeds a0 = cH0/2π has κ = −1 at its surface, producing a G2-permutohedron-shaped focal zone we call an infundibulum. Both the black hole (MBH = 21.2 M⊙, rT2∗= 34,739 AU) and the O-supergiant compan- ion (M∗= 40.6 M⊙, rT2∗= 48,074 AU) have infundibula ∼2 × 105 times larger than the orbital separation aorb = 0.2 AU; each body lies fully within the other's κ = −1 zone. (2) The Jet Efficiency Theorem gives ηjet = 6/49 ≈12.24% from two independent derivations (generator counting in the G2 Fano root system, and face counting on the permutohedron). Observed: ∼10% (consistent within uncertainty). (3) The Mass-Ratio Resonance Theo- rem predicts M∗/MBH = 6/π ≈1.9099 for stable dual-permutohedron coupling; observed 40.6/21.2 = 1.9151 (0.27% deviation). The astrometric centroid drift +0.53 mas/orbit follows from Lense-Thirring precession of the primary spin (a∗≈0.998, near-extremal) in the κ = −1 medium, which is gravitomagnetically birefringent. Three formal predictions; zero free parameters. 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.