MagRot
Active R&D · v2Rotational-Vector Framework for Magnetic Field Dynamics
Overview
MagRot introduces a dimensionless rotational parameter R(x) that encodes the local tendency toward collapse, expansion, or equilibrium in magnetic field configurations. Derived from field-line geometry (curvature, tension, pressure balance) rather than raw magnitudes.
R < 1 → Expanding (outward pressure dominates)
R = 1 → Equilibrium (curvature-driven tension balances pressure)
R > 1 → Contracting (inward tension dominates)
Validation
- Analytic: infinite wire, Z-pinch Bennett, screw pinch, dipole 2D
- Cross-validation: Earth dipole (R=1.0 at equator), Tokamak (ITER-scale)
- 1D (28/33 checks) and full 3D (26/37 checks) validation suites
- Entropy-parameterized Z-pinch converges to R = 1.000000 exactly
v2: Thermodynamic State Flow
Version 2 replaces time-based dynamics with entropy-parameterized state evolution. The evolution parameter is entropy produced (σ), not elapsed time (t), yielding guaranteed convergence via the second law.
Licensing
Split licensing model: AGPLv3 for software and simulators, CC BY 4.0 for framework specifications, validation reports, and generated results. Commercial licensing available.