Universal Quantum Capacity Laws and Precision QED

A zero-retune covariance test for precision QED windows

Version: 4.0
Concept DOI: 10.5281/zenodo.20121952
Author: Ali Attar
Website: quantumtraction.org
Main book anchor: Quantum Traction Theory: Main Book v10.01

This paper tests whether one frozen Quantum Traction Theory source packet can pass a multi-row precision-QED comparison without being retuned by the observations it is judged against. The central object is not a fitted least-squares model. It is a source packet printed first, then pushed through a declared covariance row packet:

\[ \mathcal P_{\rm QED}^{\rm QTT} \longmapsto \left\{O_i^{\rm QTT},\,O_i^{\rm ref},\,\Sigma_{ij}\right\}_{i=1}^{13}, \qquad N_{\rm fit}=0. \]

The v4.0 master firewall is

\[ \frac{\partial\mathcal P_{\rm QED}^{\rm QTT}} {\partial\{O_i^{\rm ref},\Sigma_{ij}\}} =0. \]

The release adds the Rydberg-orthogonal transport theorem. For a homogeneous QED observable,

\[ O_i^{\rm hom} = C_i\,m_e^{\rm source}\alpha^{p_i} = C_i\,\frac{2hR_\infty^{\rm QTT}}{c}\,\alpha^{q_i}, \qquad q_i=p_i-2, \]

so the row transported into the covariance packet is

\[ \frac{O_i^{\rm QTT}}{O_i^{\rm ref}} = \exp(\delta r_i+q_i\delta a_i). \]

This is the load-bearing v4.0 discipline: the electron-source and Rydberg scales are not counted twice. The comparison is made in the dimensionless orthogonal packet that precision spectroscopy actually tests.

For the declared 13-row packet, the no-retune covariance verdict is

\[ \chi^2=8.164204027853675,\qquad \nu=13,\qquad \chi^2/\nu=0.6280156944502827, \]

\[ p=0.8327404747638795, \qquad \max_i |z_i|=1.7588374430584028. \]

The covariance matrix is positive definite, every leave-one-row and leave-one-block audit passes, the omitted-normalized-covariance stress envelope remains inside the declared gate, and an illegal \(+5\sigma\) photon-edge displacement is rejected:

\[ \chi^2_{\rm illegal}=54.2060, \qquad p_{\rm illegal}=5.5667\times10^{-7}. \]

The scientific status is therefore:

• SIGMA-QED-13-ROW-NO-RETUNE-COVARIANCE-GREEN
• SIGMA-QED-RYDBERG-ORTHOGONAL-TRANSPORT-CLOSED
• SIGMA-QED-COVARIANCE-POSITIVE-DEFINITE-CLOSED
• SIGMA-QED-LEAVE-ONE-ROBUSTNESS-GREEN
• SIGMA-QED-ILLEGAL-PHOTON-EDGE-NEGATIVE-CONTROL-REJECTED
• SIGMA-SOURCE-ONLY-SI-CLOSURE-NOT-CLAIMED
• SIGMA-PLANCKIAN-MATERIAL-PROTOCOL-ONLY

The scope is deliberately narrow. Version 4.0 closes the frozen-source, multi-row QED covariance audit for the declared packet. It does not claim a source-only derivation of the SI metre, and it does not promote the separate Planckian-material protocol beyond its protocol status.

Related QTT anchors:

• Main QTT book: 10.5281/zenodo.17527179
• Artian Electron Source-Lab Rydberg Theorem: 10.5281/zenodo.20800371
• QTT Photon-Edge Gate: 10.5281/zenodo.20628735
• Fine-Structure Constant in QTT: 10.5281/zenodo.20330268
• Charged-Lepton Family-Rank Constructor Theorem: 10.5281/zenodo.20698191
• Corpus Tree family: quantumtraction.org/doi-map/#concept-10-5281-zenodo-20121952
• Observatory QED row: quantumtraction.org/observatory/#obs-qed-no-retune
• Lexicon QED no-retune entry: quantumtraction.org/lexicon/#term-qed-no-retune-window-suite
• Two Universes source/readout page: quantumtraction.org/two-universes/

Included files:

• Main PDF paper, Version 4.0, uploaded first for Zenodo preview.
• Complete reconstruction ZIP containing LaTeX source, source and comparator packets, covariance matrices, scripts, machine certificate, render audit, and SHA-256 manifest.