Quantization of ratio gravity in Minkowski spacetime and mass generation mechanism

TL;DR

This paper introduces a quantization method for ratio gravity in Minkowski spacetime, leading to a model that predicts fermion masses, including top and bottom quarks, aligning with experimental data, and suggests a new mass generation mechanism.

Contribution

It presents a novel quantization approach for ratio gravity and proposes a fermion mass generation mechanism consistent with observed particle masses.

Findings

Derived wave solutions coupled to a symmetry-broken scalar field.

Predicted fermion masses for three generations, matching experimental values.

Proposed ratio gravity quantization as a potential mass generation mechanism.

Abstract

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.