TFPT scientific source excerpt Original repository path: documents/archive--paper-latex--tfpt-42/sections/039-subsection-residual-readout-and-interface-refinements.tex Original file SHA-256: 0ceca3e9ae667adc17e9d6c44541f7f4b59a49fc68fcefc1b16b7d164c8bd990 Inclusive original lines: 173-193 Line numbers below refer to the original source. This bounded excerpt is source evidence; it is not a new proof/checker run. Conversation metadata and personal execution details are omitted where indicated. 000173 | $\chiseed$ & primitive seam-even scalar response reconstructed on the primitive layer before geometric reconstruction & Theorem \\ 000174 | $\sigma$ (geometric), $\chigeo$ & local Weyl conformal factor and derived local spectral scale $\chigeo=\Lambda e^\sigma$ on the geometric branch & Theorem \\ 000175 | $\sigmaQCD$ & QCD string tension $\sigmaQCD=\cthree^2\chi_{\QCD}^2$ on the hadronic transport branch (lexically distinct from the Weyl conformal factor and from the standard-deviation $\sigma$ in benchmark tables) & Theorem \\ 000176 | $\APSdomprov$ & provisional APS realization of the geometric anchor used in \Cref{thm:well-posed-primitive-dynamics}; an analytic starting representative & Boundary datum (analytic choice) \\ 000177 | $\APSdom$ & closed-branch APS domain obtained from $\APSdomprov$ by the Calder\'on upgrade \Cref{thm:apsdom-upgrade} & Theorem \\ 000178 | $\APSfam$ & family-pairing data induced canonically on the doubled admissible branch by the master closure roadmap & Theorem (derived) \\ 000179 | $\Pprim$ & primitive admissibility projector built from $\iC$, $\APSdom$, and $D_{\mathrm{rel}}$ alone (\Cref{def:primitive-admissibility-complex}) & Theorem \\ 000180 | $P_{\mathrm{sing}},P_\Theta$ & color-center singlet projector and determinant-sector involution projector available only after carrier and bosonic-index closure & Theorem \\ 000181 | $\mathsf{Adm},\Kadm,\Padm$ & admissibility predicate, positive constraint operator, and full operative selector $\Padm=\Pprim P_{\mathrm{sing}}P_\Theta$ on the admissible branch (\Cref{thm:padm-upgrade}) & Theorem \\ 000182 | $F,\Oadm$ & topological family space and occupancy count after family closure; $\Oadm$ later feeds the closed reading of $\deltatop$ & Theorem \\ 000183 | $[\nabla_F]$ & $SU(3)_F$ conjugacy class of the rigid family local system used as the sole family-connection invariant in \Cref{def:tfpt-rigid-pre-category} & Theorem \\ 000184 | $\delta_{\mathrm{ph}}$ & unique algebraic transport root on the $C_6$ hexagon used on the closed branch & Theorem \\ 000185 | $Q_\Theta$ & determinant-sector involution entering admissibility and the projector $P_\Theta$ & Theorem \\ 000186 | $\Cseam=\mathcal C_\Sigma$ & \emph{sheet-CP symmetry operator only}: $\Cseam:=CP\circ\taudbl$ on the admissible branch & Theorem \\ 000187 | $T$ & transport generator on the family / holonomy side & Theorem \\ 000188 | $\wspin=\varpi_{\mathrm{spin}}$ & spin holonomy weight entering the geometric package & Theorem \\ 000189 | $\Tstar$ & canonical rigid object of \Cref{thm:no-alternatives-tfpt}; endpoint of the theorem chain & Theorem \\ 000190 | $\Ffals(\Tstar)$ & structural falsification map of \Cref{sec:structural-falsification-map} (main text, hard-separated from $\Rcmp$) & Theorem (side card) \\ 000191 | \bottomrule 000192 | \end{tabularx} 000193 | \caption{Symbol guide for theorem-level objects only. Comparison-layer and readout symbols are