Primeon Z-Ladder Field Theory: Amplitude–Phase Dynamics, Chirality, and Sector Stability up to Z(11)

We present a unified field-theoretic framework in which primeonic excitations are organized into a discrete hierarchy of sectors Z(s) for s = 1, . . . , 11. Each Z(s) is characterized by a primeon wavefunction Ψs = Aseiφs whose amplitude As determines curvature (gravitational response) and whose phase φs determines gauge, electromagnetic, or chiral behavior. Odd levels Z(s) correspond to chiral, unstable, or mediatingsectors; even levels produce stable or quasi-stable matter and dark sectors. We construct Lagrangians, propagators, transition operators, and an effective field theory expansion describing the excitation ladder Z(1) → Z(11). Predictions include darksector gauge bosons, hyper-baryonic bound states, Planckian primeon knots, and a natural primeonic dark-energy sector.