PhNeX Theory: Foundations A compositional framework for the Standard Model from the primordial triad {γ, ν, X}

PhNeX (Photon-Neutrino-X) is a compositional framework proposing that allStandard Model fermions arise as bound states f (n)α = να · (XBαβ )n of a primordialneutrino seed ν with n insertions of a compositional scalar field XB (SU(3)c triplet,Qem = −1/3). The framework is governed by six postulates P1–P6, organising theprimordial triad {γ, ν, X}, the compositional rule, the discrete parity protecting darkmatter, and (new in v1.9) the confinement of constituents below ΛX ≈ 25.7 TeV andthe chiral asymmetry of the compositional vertex. From the postulates, we derive:the three-generation structure via a Z3 cyclic mass Hamiltonian; the Koide massrelation and Brannen parametrization with phase θK ≈ 128◦; fundamental scales ΛX ,vX ≈ 2 TeV, MV ≈ 3.96 TeV, mF ≈ 2.3 TeV; anomaly cancellation by inheritance;and a compositional Barr–Zee mechanism predicting electron and neutron EDMsin specific windows testable by ACME III and n2EDM. Postulate P5 (new in v1.9)commits the framework to QCD-like confinement of the primordial constituentsbelow ΛX , driven by XB condensation ⟨XB ⟩ = vX via Coleman–Weinberg radiativecorrections. Postulate P6 (new in v1.9) specifies that the compositional vertexcouples only νL to (XB )n, embedding the Sakharov conditions for baryogenesisintrinsically and providing the structural origin of SM left-handed doublet structure.Nine falsifiable predictions (F1–F9) are identified with specific experimental testsat HL-LHC, FCC-hh, ACME, n2EDM, DUNE, CTA, and LISA. The cosmologicalconsequences of P5+P6 are developed in the companion Letter.