Provenance and verification record

of documentary statements. The predecessor materials cited below are provenance records for the formulas adopted in this revision. Their availability to an author, reviewer, retrieval system, or reader are separate questions. No claim of access or inspection is inferred from a reviewer's description.

The preparation package for this revision includes the supplied Em01-C versions, source texts attributed to XII-C, XIV-H, and XIV-J, and attributed excerpts or retrieval passages from Em01-A, Em01-B-v3, and XIV-I. This statement does not certify complete-source inspection of Em01-A, Em01-B-v3, or XIV-I, source authentication, a registry state, or a scan of the entire series.

The calculations needed for the new source, geometric, translation, and scalar results are reproduced in this file. An inherited physical identification remains distinguished from those calculations.

corrections. The algebraic dual basis is distinguished from metric index raising. The source output is converted explicitly before extracting its coefficients. The coordinate Euler gradient is not substituted for the propagated metric-valued source. The source implementation inventory fixes symmetrization, jet normalization, switch treatment, slot order, and coefficient order. The unreduced coordinate map is printed, with its physical provenance separate from the proved causal reduction. Microlocal agreement is stated with localized normal-convergence hypotheses rather than inferred from weak convergence.

limits. No pdfLaTeX compiler, proof assistant, symbolic algebra program, or numerical experiment was executed in producing this revision. Successful compilation, pagination, mechanically certified identities, independent referee verification, and journal acceptance are not asserted. The file is designed for the two-run build in its header.