Published May 3, 2026 | Version v1

The Mass Spectrum in the Cohesion UFT

Description

Mass in the Cohesion Unified Field Theory is not a substance, a field excitation, or a
parameter inserted into equations. It is a geometric consequence of recursion under
pressure. A coherence node is a trapped recursion whose internal recursion rate is
slower than the inherited recursion rate of the substrate. The difference is the mass.
This paper integrates the qualitative geometric structure of the mass spectrum with a
quantitative torsion interval scaling model. The electron is the minimal n = 6 closure;
the muon and tau are higher-order closure modes with increased torsion density. Quarks
are fractional closure states whose masses arise from partial torsion accumulation.
The torsion interval scaling factors λ1 ≈ 206.8 and λ2 ≈ 16.8 are established here
as empirical anchors: the framework predicts that discrete torsion intervals exist and
determines their ordering, but the first-principles geometric derivation of the exact λ
values is the primary open problem identified in this paper. Using the empirical λ
values as inputs, the predicted lepton masses agree with CODATA values to within
3.3% (muon) and 2.2% (tau). This is the first unified particle-level mass derivation in
the Cohesion Unified Field Theory. The exact λ values remain to be derived from the
torsion interval geometry.

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Additional titles

Subtitle (English)
A Unified Geometric and Quantitative Derivation

References

  • Gilbert, D.A., Cohesion: A Unified Field Theory of Matter and Motion, v3, Independent Researcher (2026).
  • Gilbert, D.A., Dissecting Motion: The Foundation of Physics, Independent Researcher (2026).
  • Gilbert, D.A., The Binary Recursion Toggle: Hexpolar and Bipolar States, Independent Researcher (2026).
  • Gilbert, D.A., The Fine-Structure Constant Is the Coupling Between Scales, Independent Researcher (2026).
  • Gilbert, D.A., Matter Formation as Trapped Recursion, Independent Researcher (2026).
  • Gilbert, D.A., Calibrating R(Dst): The Density-Dependent Propagation Function in the Cohesion UFT, Independent Researcher (2026).
  • Gilbert, D.A., Recursive Spin-Field Entanglement, v3, Independent Researcher (2026).