HVP Source-Access Reference Framework

HVP Source-Access Reference Framework Version: 5.0Concept DOI: 10.5281/zenodo.20732034Author: Ali AttarWebsite: quantumtraction.org This paper collects the Quantum Traction Theory (QTT) treatment of hadronic vacuum polarization into a single source-access reference framework. Version 5.0 adds the QTT HVP Laboratory \(R(s)\) Access-Covariance Map Theorem. The source \(R_{\rm src}^{\rm QTT}(s)\) is fixed upstream; laboratory \(R(s)\), \(F_\pi(s)\), lattice, \(e^+e^-\), and \(\tau\) rows are treated as finite access rows with their own correction maps, nuisance directions, binning maps, backgrounds, and covariance objects. The frozen laboratory row packet is \[ \mathfrak D_d^{R(s)} = (\mathbf s_d,\mathbf y_d,\Sigma_d^{\rm lab},\mathsf P_d,\mathsf C_d, \mathsf A_d^{\rm QTT},\mathbf b_d,\Theta_d,H_d). \] The QTT prediction for that row is \[ \mu_d^{\rm QTT}(\theta_d) = \mathsf P_d \!\left[ \mathsf C_d(\theta_d) \mathsf A_d^{\rm QTT} \mathbf R_{\rm src}^{\rm QTT} \right] + \mathbf b_d(\theta_d). \] The row residual and access covariance are \[ \Delta_d = \mathbf y_d-\mu_d^{\rm QTT}(\theta_d^\star), \qquad \theta_d^\star = \arg\min_{\theta_d\in\Theta_d} \Delta_d(\theta_d)^\top (\Sigma_d^{\rm AC})^{-1} \Delta_d(\theta_d), \] \[ \Sigma_d^{\rm AC} = \Sigma_d^{\rm lab} + J_d V_{\theta,d} J_d^\top + \Sigma_d^{\rm miss}. \] The row audit objects are \[ z_d=L_d^{-1}\Delta_d, \qquad \chi_d^2 = \Delta_d^\top (\Sigma_d^{\rm AC})^{-1} \Delta_d, \qquad L_dL_d^\top=\Sigma_d^{\rm AC}. \] For a family of rows, the global access-covariance audit is \[ \chi_{\rm AC}^2 = \Delta^\top (\Sigma^{\rm AC})^{-1} \Delta, \qquad p_{\rm AC} = 1-F_{\chi^2_\nu}(\chi_{\rm AC}^2). \] The compact v5 master equation is \[ \mathcal M_{R(s)}^{\rm AC}: \left( R_{\rm src}^{\rm QTT}, \{\mathfrak D_d^{R(s)}\}_{d=1}^{N} \right) \mapsto \left( \Delta,z,\chi^2_{\rm AC},p_{\rm AC}, \{a_{\mu,d}^{\rm HVP}\}_{d=1}^{N} \right), \qquad D_{\rm obs}R_{\rm src}^{\rm QTT}=0. \] Plainly: the source is fixed first. The access rows, not the source, carry the laboratory covariance. The no-smuggling firewall is \[ \frac{\delta R_{\rm src}^{\rm QTT}}{\delta \mathbf y_d} = \frac{\delta R_{\rm src}^{\rm QTT}}{\delta \Sigma_d^{\rm lab}} = \frac{\delta R_{\rm src}^{\rm QTT}}{\delta \theta_d} = \frac{\delta R_{\rm src}^{\rm QTT}}{\delta a_\mu^{\rm exp}} = \frac{\delta R_{\rm src}^{\rm QTT}}{\delta a_\mu^{\rm HVP,lat}} = 0. \] The laboratory row and its covariance can test the QTT source, but they cannot construct it. Main status labels: Σ-HVP-EIGHT-ROW-VECTOR-SOURCE-CLOSED Σ-HVP-ACCESS-QUANTUM-15-512-RHO-SOURCE-WORD-CLOSED Σ-HVP-ROW-TOPOLOGY-LADDER-CLOSED Σ-HVP-LABORATORY-R(s)-ACCESS-MAP-CLOSED Σ-HVP-FULL-BINNED-ROW-POPULATION-FRAMEWORK-CLOSED Σ-HVP-LAB-RS-ACCESS-COVARIANCE-MAP-THEOREM-CLOSED Σ-HVP-LAB-RS-COVARIANCE-NUMERICAL-POPULATION-PENDING Σ-HVP-FULL-BINNED-R(s)-NUMERICAL-POPULATION-PENDING Σ-HVP-END-TO-END-a_mu-NUMERICAL-GREEN-PENDING The claim is scoped. Version 5.0 closes the formal source/access/covariance map. It does not claim the final numerical public-row population or the final end-to-end \(a_\mu^{\rm HVP}\) value. Those remain dependent on public row vectors, correction maps, hashes, and covariance matrices. Related QTT anchors: Main book: Quantum Traction Theory: Main Book v10.01 QTT Observatory: quantumtraction.org/observatory DOI map: quantumtraction.org/doi-map Strong-coupling source theorem: 10.5281/zenodo.20625551 A6 Hadamard center-sheet theorem: 10.5281/zenodo.20747015 Photon-edge / fine-structure rail: 10.5281/zenodo.20628736 Included files: PDF paper, Version 5.0 LaTeX source Render audit Change log SHA256 checksums Release package zip