A TTN-ToE Prediction of Nodal Path Noncommutativity in Coexisting Superconducting and Magnetic Regimes

Abstract

This prospective prediction note derives a preparation-order noncommutativity test from the Nodal Theory of Everything (TTN-ToE). For eligible systems with overlapping superconducting and magnetic coherent regimes, finite cross-dependence and finite structural memory, TTN predicts that magnetic-then-superconducting preparation and superconducting-then-magnetic preparation will not produce identical phase-resolved hysteresis responses after final macroscopic controls are matched. The note defines a Lie-bracket derivation, a dimensionless FORC commutator, coherence gating, reciprocal cross-sector criteria, an additive null reconstruction, conventional controls, and explicit falsification conditions. No new experimental data are analyzed. The prediction was frozen on 4 August 2026 before the future protocol data addressed by the note were available.