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PDT II

PDT-II: Mass Hierarchy and Sector Amplification

Graham Fincham (Delta Phi IP Ltd); Daniel Hilton (Independent Researcher)

Version
v1.1.1
Published
1 June 2026

Abstract

PDT-II develops the structural mass hierarchy implied by Phase Transport Geometry (PTG) and the finite coherence capacity introduced in PDT-I. The PTG mass functional mim_{i} = m0CiWiLigi2SiTim_{0} \cdot C_{i} \cdot W_{i} \cdot L_{i} \cdot g_{i}^{2} \cdot S_{i} \cdot T_{i} contains contributions from closure, winding, loading, excitation mode, sector symmetry, and return-closure invariants. PDT-II analyses how these factors combine to produce a three-tier structural hierarchy across the singlet, doublet, and triplet sectors. The return-closure invariant T3T_{3} = 9, derived in PDT-MC-1, provides the dominant amplification of the triplet structural mass functional. The hierarchy developed in this paper is the structural hierarchy of stable PTG defects; its relationship to the observed Standard Model particle spectrum is explored in later work.