Manuscript Em01-E@2 · Em01-E-v2.tex · section · 54f8f8c2

Identification ledger

Physical identification and documentary status › Identification ledger · lines 591–640

For each row below, a completed physical record must give:

an exact defining equation or component formula;
a manuscript identifier, exact version, and passage;
its proof status and source/operator domain;
the map identifying it with the mathematical entry.

Entry	Mathematical specification	Physical verification required
Source coefficients	The actual finite array $q_{α β}^{L, I, J}$ in Appendix app:kernels	Full component formula, polarization, action–source sign, and any preparation corrections.
Propagators and crossed lines	$R, B$ , and the four inputs in (eq:crossed)	Prescription, relative arguments, orientations, and domains; no Hadamard/Feynman replacement without identification.
Observations	The fixed $f, g$ used in the internal rows and vertex	Exact switch and observation data and their support rules.
Scalar root	The fixed $F$ in $K_{9}$	The required root relation, including boundary/Cauchy data.
Density map	The fixed $D$ in $K_{6}$	Derivation from the actual density and its slot conventions.
Tensor and Fourier conventions	Fixed algebraic duality, $η$ , and Fourier sign	An explicit conversion from the source conventions.
Corrections and normalization	The class $C_{allowed}$	Allowed contacts, support, coherence, normalization equations, and overlap rules.

For the intended physical graph, these rows are not completed by the supplied excerpts alone. For the mathematical application below, they are replaced by explicit mathematical definitions, and that replacement is stated openly.