Paper CCLIX: Distinguishing Lensed Binary Neutron Stars from Hierarchical Mergers in the Gravitational-Wave Mass Gap — A Population-Synthesis Refinement of the Ryczanowski et al. (2025) Follow-up Strategy

Ryczanowski, Lyons, Smith hierarchical 2G+1G peak near 0. 35 ≈ χₑff (aᵣem=0. 69, m₂/mₜotal ≈ 0. 5). Population-synthesis estimates yield 5–20% hierarchical contamination of any null-EM-follow-up mass-gap subset. Five predictions: (P1) 30-60% of null-EM bucket has χₑff > 0. 2; (P2) bimodal χₑff distribution; (P3) joint CCXXXII + CCXLV detection on high-χₑff sub-pop; (P4) lensed-BNS recovery rate consistency check; (P5) 3G+1G stacking required to reach Antonini's χₑff, max ≈ 0. 5. Honest scope: population fractions order-of-magnitude; framework contribution is structural (third channel + two orthogonal observables), not rate-quantitative; requires O5 sensitivity. 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.