Paper XXVII of the Brane-Bulk Series The Sump, the Higgs Field, the Equivalence Principle, and the Yukawa Hierarchy B. D. Jagadeesan, MD

Paper XXVI identied the sump mechanism as the constant inward pressure Λₒpp (t) from the ongoing H−extrusion collapse. This paper shows that the same mechanism resolves three deep puzzles of the Standard Model. (1) the Fano Higgs condensation mechanism: the sump pressure creates a standing wave at the brane-bulk interface, selecting a preferred vacuum conguration the Higgs vev v (t) ∝H (t) 7/2. (2) The Equivalence Principle: both gravitational and inertial mass are focal deceleration resistance (Paper V), making them equal by construction. (3) The Yukawa hierarchy: the coupling of each fermion to the Higgs standing wave is proportional to its focal deceleration amplitude divided by v (t0). The top quark couples maximally (deepest focal zone) ; the electron couples minimally (shallowest focal zone). No ne-tuning. 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.