Paper CCXXII: Sump Perturbers — Compact Objects as Focal Resonances

Compact perturbers in galactic sumps have coherence radius rT ∗ 2 (M) = p GM/a0; for 106 M⊙: 36.6 pc. The preferred sump-embedded binary mass ratio is q = λ5/λ1 = (2 + √ 3)/(2 − √ 3) = (2 + √ 3)2 = 13.9282032 (Klein ladder levels 5 and 1). v2 correction: v1 wrote 'λ2 5/λ2 1' which gives [(2 + √ 3)/(2 − √ 3)]2 = 194 (wrong). Correct is λ5/λ1 = 13.928. 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.