Unified Balance-Line Mapping with Falsifiable Testing Across Magnons, L1/L2, OAM, and SRO/Floquet

To the author’s knowledge, prior work has not presented a single falsifier-first balance-line controller that unifies magnons (SSE near compensation),L1/L2 (Lissajous->halo), optical OAM fingerprints, and SRO/Floquet direct-gap engineering; existing studies treat these domains separately. This record accompanies the manuscript "Unified Balance-Line Mapping with Falsifiable Testing Across Magnons, L1/L2, OAM, and SRO/Floquet." We present a falsifier-first framework that treats diverse two-branch systems with a single balance-line controller. Operation centers on an R~1 plateau using one measurable slope S and an odd->0 centering signal, with preregistered acceptance lines (flatness <=2%, flip-only Z sign reversal, gap open, protocol invariance) and abort criteria (disable-L collapse, gap closure). Mapping A recasts ferrimagnetic spin waves as a bosonic n-p semiconductor and predicts spin-Seebeck rectification. Mapping B expresses the L1/L2 Lissajous->quasi-halo->halo transition and its pitchfork law Az~sqrt(sigma). Mapping C adds an optical OAM fingerprint that provides an even-in-|l| orthogonal check. Mapping D extends to SRO/Floquet direct-gap engineering with domain-wall metrics B, L, 2f, threshold concordance, and Urbach-informed disorder checks. Bridge falsifiers unify the four platforms, and quantified predictions (rectification index Q, zero-line slopes, pitchfork window) enable pass/fail reporting. Raw traces, demod scripts, and preregistration templates are included to support independent replication.