ALADIN Plasma Stability Criterion v0.2 Invariant threshold for self-stabilization in current-driven plasma columns

ALADIN v0.8 – Full simulation code and results for the ALADIN Stability Criterion The ALADIN (Axisymmetric Loaded Advanced Dynamics In Nonlinear plasmas) criterion is a scaling-derived law for the suppression of current-driven instabilities (kink, sausage, tearing) in resistive QMHD plasmas with QED pair production/annihilation and relativistic degenerate pair pressure. Core statement: Instabilities are suppressed when Π = μ₀ J₀² R² / (ρ₀ c²) ≳ O(10) with calibrated threshold Π_crit ≈ 8 in high-resolution limit. Corollary for relativistic jets (γ ≫ 1): Π_rel = Π / γ² ≳ 8 / γ² This deposit contains: • aladin_v0.8.py – complete Python simulation code (3D resistive QMHD + QED pairs + Hall term + viscosity + radiation feedback) • 16 publication-ready PNG plots: - 12 astrophysical & diagnostic figures (polarization, light curves, PWN comparisons, GRB decay, theorem proof visual, etc.) - 4 lab/fusion validation figures (Sandia Z-pinch kink suppression, MRX/TREX reconnection, ITER/DEMO runaway-electron regimes) • README.md – project overview, usage, citation guidelines All plots include baked-in captions. The code prints the formal criterion statement and rigorous analytic derivation of Π_crit. Validation domains: • Astrophysical: magnetar flares, GRB jets, PWNe (Crab, Geminga, Vela X, Cass A), SGR 1806-20 • Laboratory: Sandia Z machine, MRX/TREX reconnection experiments • Fusion: ITER disruption RE beams, DEMO high-energy regimes License: MIT (open source) Repository:https://github.com/aladinibz/AladinEquationVinfinity This work demonstrates that the ALADIN law provides a unified stability threshold across cosmic, laboratory, and fusion plasma scales.