Paper CCXXIV: Orbital Eccentricity in the Neutron Star–Black Hole Merger GW200105 as a Sump Infundibulum Lense-Thirring Imprint:

We interpret the first measurement of orbital eccentricity in a neutron star–black hole (NSBH) merger, e20 = 0.145+0.007 −0.063 in GW200105 [6], within the One-Octonion Brane-Bulk Framework. The binary formed via gravitational-wave (GW) capture during a hyperbolic encounter within a sump infundibulum—the focal-zone concentration of brane curvature characterising galactic-nuclear environments. The Peters-Mathews invariant C = 2501 km, evaluated at the observed parameters, maps each natal eccentricity e0 ∈[0.80, 0.95] to a unique formation frequency f0 ∈[0.090, 0.787] Hz, placing binary formation in the LISA/DECIGO decihertz band. The sump King radius r0 = σ2/a0 ≃778 pc (for σ = 50 km s−1) exceeds the binary semimajor axis by a factor 3 × 1013, confirming that the encounter occurs deep within the infundibulum coherence volume. The Kerr (Lense-Thirring; LT) field of the black hole (χ1 = 0.06) provides an O(χ1) ≃0.8% correction to the orbital angular momentum at capture, imprinting a retrograde/prograde asymmetry δe20 ≈0.001. Three testable predictions follow. 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.