Charged Fermion Spectrum and Quark Mixing from a Reduced Metric-Affine Substrate

We present a framework in which the charged fermion mass spectrum and quark mixing emerge from a reduced metric-affine substrate characterized by coherent configurations and a minimal set of global parameters.

In this approach, particles are interpreted as localized coherent structures (vortons) of an underlying geometric substrate. Mass is not introduced as a fundamental parameter, but arises dynamically from the intrinsic frequency of these configurations, while flavor corresponds to a discrete organization of the configuration space.

We show that the full charged fermion spectrum, spanning more than five orders of magnitude, can be reproduced with good quantitative accuracy using a constrained parameter set. Different functional regimes naturally emerge, including polynomial-logarithmic behavior for leptons, exponential scaling for heavy quarks, and a mixing-dominated structure for light quarks.

Quark mixing and CP violation are interpreted as arising from geometric misalignment and relative phase structure between configuration sectors, without the need for additional arbitrary parameters.

The framework is consistent with General Relativity in the appropriate limit and suggests a unified description of multiple sectors, including electroweak and dark components, within the same geometric setting.

These results indicate that a significant portion of the structure of the Standard Model may be understood as an emergent property of an underlying metric-affine substrate.