What question did this study set out to answer?

The central aim is to demonstrate how the sump mechanism addresses three significant issues in the Standard Model of particle physics.

June 8, 2026Open Access

Paper XXVII: The Sump, the Higgs Field, the Equivalence Principle, and the Yukawa Hierarchy

Key Points

The central aim is to demonstrate how the sump mechanism addresses three significant issues in the Standard Model of particle physics.
Identified the sump mechanism related to H−extrusion collapse.
Analyzed implications of the sump pressure on Higgs condensation, the Equivalence Principle, and Yukawa hierarchy.
Presented theoretical constructs without requiring fine-tuning.
Demonstrated that the sump pressure leads to a preferred vacuum configuration related to Higgs vev.
Showed the equivalence of gravitational and inertial mass based on construction principles.
Established the Yukawa coupling variations across fermions based on their deceleration amplitudes.

Abstract

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.

Paper XXVII: The Sump, the Higgs Field, the Equivalence Principle, and the Yukawa Hierarchy

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Abstract

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