Theoretical analysis derives fermion mass hierarchies and unified coupling constants from geometric phase angles, indicating a falsifiable unified framework.
We present the phenomenological completion of the Binary Flow theory, focusing on fermions and coupling constants. Using the phase-geometric framework established in Binary Flow III, we derive the mass hierarchy ofquarks and leptons as combinations of phase numbers (n45, n180), obtaining predictions that match experimental data to within a few percent. We derive all coupling constants (electromagnetic, weak, strong, and gravitational) as projections of a single phase angle θ = arcsin(α), showing that they unify to a common value at high energies. We also predict neutrino masses from the mixing factors ϵi. This work provides a complete, falsifiable description of the fermionic sector, ready for experimental test.
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Costa et al. (2026) studied this question.
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