Plasma Behavior & Collective Mode Structure in the Equilibrium‑Mode Electron A.8

Add‑On A.8 extends the equilibrium‑mode electron framework into the plasma domain, showing that collective behavior, screening, wave‑family activation, nonlinear deformation, and high‑energy collapse arise directly from the same structural invariants that govern spectroscopy, angular geometry, transition symmetry, multi‑electron compatibility, ionization thresholds, bonding geometry, and scattering deformation. The electron is treated not as a point particle but as an extended oscillatory mode whose polarity boundaries, angular‑radial coupling, stability margins, and phase‑twist symmetry determine how it behaves inside plasma environments. A.8 demonstrates that plasma oscillations, Debye screening, wave‑mode families, resonance activation, and nonlinear behavior emerge from continuous deformation of the internal mode under collective fields. Stability‑margin dynamics regulate ionization, recombination, and wave activation, while phase‑twist symmetry produces helicity‑dependent propagation and anisotropic plasma response. High‑energy environments drive radial‑mode compression and angular collapse, reproducing the deformation‑based scattering behavior of A.7 at collective scales. The resulting formulation provides a unified structural mechanism for plasma behavior across laboratory plasmas, astrophysical plasmas, magnetospheres, and high‑energy environments. A.8 establishes the plasma‑scale extension of the Version 1.0 equilibrium‑mode framework and forms the foundation for Add‑On A.9, which applies these invariants to astrophysical spectra and high‑energy radiative behavior.