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