Geometric Mass Generation: Deriving Yukawa Couplings from Local Spacetime Curvature Boundaries

Author(s)	Mr. Ramesh Date
Country	India
Abstract	Within the framework of the Standard Model, Yukawa couplings (f) dictate fundamental fermion masses but remain arbitrary, free parameters requiring empirical input. This paper introduces a novel, non-minimal geometric mechanism that dynamically derives these couplings from local spacetime curvature boundaries. By defining a localized dimensionless curvature factor (κ), as the direct ratio of a particle's geometric mass radius (Rg=Gmc2) to its quantum Compton localization limit (Rc=mC ) , we eliminate the weak-field Newtonian factor of 2 characteristic of the classical Schwarzschild metric. This framework yields a fundamental mass- bridge: m=mplκ When constrained to the scale of the reduced Planck constant =ħ, this relation evaluates precisely to the physical Higgs boson mass mHiggs125.39GeV and naturally outputs the Higgs self-coupling parameter λ≈0.13 without fine-tuning. Extending this mechanism to the fermion sector, we show that Yukawa couplings are not arbitrary constants, but a direct geometric balance between macroscopic electroweak scale separation and microscopic quantum-gravitational curvature constraints.
Keywords	Yukawa coupling, Spacetime Curvature, Higgs mass, Scale Hierarchy, Non-minimal coupling, Compton-Schwarzschild duality
Field	Physics
Published In	Volume 7, Issue 5, September-October 2026
Published On	2026-09-05
DOI	https://doi.org/10.63363/aijfr.2026.v07i05.7617

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