Artian A6 Hadamard Center-Sheet Half-Share Theorem
Attar Ali
Abstract
The half-share that fixes the QCD center sheet Concept DOI: 10.5281/zenodo.20744161 Author: Ali Attar Website: quantumtraction.org Main book anchor: Quantum Traction Theory: Main Book v10.01 This paper closes the A6 Hadamard center-sheet half-share used in the QTT string-tension chain. The result is a narrow theorem with large downstream reach: HVP source rails, glueball rows, and QCD center sheets all depend on the same half-share. The local two-side transfer is \[ H_{\mathrm{cap}}= \frac1{\sqrt2} \begin{pmatrix}1&1\\1&-1\end{pmatrix}, \qquad \mathcal S(p)=p^2+(1-p)^2=\frac12+2\left(p-\frac12\right)^2. \] Thus the unique no-preferred-side minimum gives \[ S_{\mathrm{A6}}(k=\pm1)=\frac12, \qquad \sqrt{\sigma_3}^{\mathrm{QTT}}=444.253151\,\mathrm{MeV}. \] Core labels: Σ-A6-HADAMARD-CENTER-SHEET-HALF-SHARE-CLOSED, Σ-SU3-HAAR-RATIO-CERTIFIED, Σ-QCD-SQRT-SIGMA3-SOURCE-CLOSED.