Phenomenological Velocity, Partial Semantics, Selection, and Bell–CHSH

This supplementary paper consolidates and standalone-formats a set of extended appendices (denoted H--P in the associated main manuscript) concerning ``phenomenological velocity'' (PV), exceptional-locus / undefinedness semantics, and their relation to Bell--CHSH. We provide (i) a referee-proof explanation of why PV-style S0/S1/S3/S4 semantics cannot supply an \emph{unconditional} Bell--CHSH counterexample, (ii) an explicit Bell-local measurement-independent \emph{selection} (setting-dependent acceptance) construction reproducing the singlet law $E(a,b)=-\cos(a-b)$ on accepted data, together with an unconditional Rung-0 no-go theorem, and (iii) a microcausal (noncommutative/operator-algebraic) PV-indexed model reproducing $-\cos(a-b)$ \emph{unconditionally} (outside Bell's Kolmogorov hypothesis class). To make this supplement independent, we include minimal prerequisites: Bell-local MI models, selection/acceptance as conditionalization, total-variation geometry, the CHSH inflation bound $S_{\mathrm{obs}}\le 2+2\Delta_Q\le \min\{4,2+6D_Q\}$, and the Tsirelson-scale dispersion necessity $\Delta_Q\ge \sqrt2-1$ for any Bell-local MI selection-based explanation.