A Unified Code for Hall, Caltech Photon, and Young's Slit: With Falsifiable Testing

This work presents a unified, testable coding framework that links three classic setups: Hall transport, Caltech-style photon targets, and Young’s double-slit. The core rule is Y follows Z while X is passive, so the experimental readout is an offset code with two parts: sign (which side) and magnitude (how far it settles). The paper formalizes the T-plane equivalence (Hall T and Caltech T as the same class of phase-step boundary), replaces vague drift language with a measurable offset magnitude, and supplies an operational playbook: flip geometry to flip sign; sweep DeltaT (or phase) to tune magnitude; read with asymmetry or centroid shift. A falsification protocol is provided with explicit pass or fail gates, including mirror-flip sign reversal, nulls at symmetry, monotonic magnitude sweeps, no hysteresis in the intended regime, blinded flips, wavelength checks, T1 transient versus T durability, and an X passive check. The aim is a clear, apparatus-defined path to replication: if Y tracks Z with the predicted sign and magnitude under these gates, the framework holds; if not, it is rejected.