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Recently, the theory of ratio gravity (RG) has introduced a new descriptionof spacetime curvature and gravity as well as dark energy. This paper proposesa quantization approach through a simple model for RG. By solving the ratiogravity equations in Minkowski spacetime, we found there are two wave solutionscoupled to a symmetry broken scalar field. We postulate the related Lagrangianwith massless fermion doublets coupling a scalar field, and perform the relatedone-loop calculation. The theory provides the non-zero and positive masses forthree generations of three types of massive fermions: apparently as leptons(electron, muon, tau), and quarks (up, charm, top, down, strange, bottom). Thepredicted masses of the top and bottom quarks (181 GeV and 3.5 GeV) are closeto the experimental data. We address the possibility that RG quantization mayoffer mass generation mechanism for fermions.

Quantization of ratio gravity in Minkowski spacetime and mass generation mechanism