Add complete EDCM mathematical reference

[erinepshovel-code]

Summary

• add one compiled reference for every mathematical surface currently declared or implemented by EDCM
• index the previously omitted edcm/edcmucns/ v0.3.1 implementation layer without transferring its historical local “design canon” label into current joint canon
• separate implementation authority, status authority, experiment candidates, represented evidence, typed NA, provenance identities, and unresolved hmmm boundaries
• make the reference discoverable from README.md and CANON.md
• include the reference in the source distribution through MANIFEST.in

Authority and impact

docs/EDCM_MATHEMATICS.md is a synchronized human-readable reference, not a second implementation authority and not a joint UCNS–EDCM canon selection. Owning EDCM source modules and frozen data remain implementation authority; CANON.md governs epistemic status.

The website may reproduce the exact bytes at a cited EDCM commit, but it does not redefine the equations or transfer canon, theorem, proof, measurement, empirical, or runtime status.

Exact producer identity

• commit: 2f09f9af10ef950ce68c765bcbed7dca83625c65
• tree: 4fb3ab6632a1ea64253441e569d27eabfaa7d31e
• reference path: docs/EDCM_MATHEMATICS.md
• reference blob: c2e059de15c4ef2c5fa9368c63363b606e503206
• reference SHA-256: 889336c7c723d6e013188e1b3f969f98aeca88e3075b8ce2e67bc87e897e724f

Mathematical coverage

• maintained baseline vector, recurrence, risks, projections, alerts, thresholds, and Layer-1 duplication boundary
• signed-ternary ConstraintField and FieldMotion construction
• implemented v0.3.1 masses, carriers, operator shares, no-bone type, carrier equivalence, append/product distinctions, validator/gauge audit, manifest/witness/payload identities, and hmmm collisions
• controlled goal-vector projection and motion/trajectory/contradiction rules
• joint experiment candidates v0.1–v0.4
• exact UCNS observation boundary
• canonical JSON, SHA-256, epoch, result, and evidence identities
• explicit claims for which no valid mathematics currently exists

Verification

• git diff --check — pass
• pinned skill-lib consumer drift — 7 skills checked, 0 drift
• generated MSDMD comparison — exact, no diff
• python tools/check_metadata_contracts.py — 31 modules, no findings
• python -m edcm.integrity — pass
• pytest -q — 227 passed, 20 explicit optional-integration skips
• python -m build — pass
• twine check dist/* — pass
• sdist inclusion — edcm-0.1.0/docs/EDCM_MATHEMATICS.md present

hmmm

The baseline coefficients remain candidate policy. The Layer-1 matrix still duplicates runtime equations. Independent annotation, calibrated outcomes, formal higher-gonol composition, signed producer records, external holdout custody, and the first joint canon decision remain unresolved.

[erinepshovel-code]

Final cross-PR audit and readiness — 2026-08-02

Authority used: EDCM owning source modules for implementation facts; EDCM CANON.md for status. The website was treated only as a consumer.

Audit result

Surface	Result
Equations	The compiled reference now indexes the maintained baseline, field/motion layer, implemented edcm/edcmucns/ v0.3.1 layer, controlled goal-vector candidate, joint candidates v0.1–v0.4, exact observation boundary, and identity equations. The v0.3.1 layer had been the producer-side omission and is now included with exact implementation boundaries.
Status labels	Current pre-canon/joint-canon boundaries are preserved. The historical local “design canon” label is not promoted. Implemented construction, candidate, represented evidence, controlled candidate-measured evidence, NA, and hmmm remain distinct.
Provenance identities	Producer commit 2f09f9af10ef950ce68c765bcbed7dca83625c65; tree 4fb3ab6632a1ea64253441e569d27eabfaa7d31e; reference blob c2e059de15c4ef2c5fa9368c63363b606e503206; SHA-256 889336c7c723d6e013188e1b3f969f98aeca88e3075b8ce2e67bc87e897e724f.
Unresolved boundaries	Candidate coefficients, Layer-1 duplication, independent annotation/calibration, formal higher-gonol composition, signed producer authentication, external holdout custody, and joint canon selection remain explicit; none is mapped to zero or implied complete.

Gates

All GitHub workflows are green:

• CI run 30739609008: Python 3.11/3.12/3.13, integrity, typed absence, exact METAPAT/UCNS stack, build/Twine/clean-wheel smoke
• joint experiment run 30739608979: Python 3.11 and 3.12, v0.1–v0.4 run twice
• skill/metadata run 30739608968: pinned skill drift, MSDMD regeneration, native metadata

Local package gate also passed: 227 tests, 20 explicit optional-integration skips; build and Twine checks passed.

Readiness and exact merge order

Producer readiness: READY. PR remains draft and has not been merged.

1. Merge this PR first using a strategy that keeps 2f09f9af10ef950ce68c765bcbed7dca83625c65 reachable from EDCM main (merge commit/fast-forward; do not squash or rebase away the pinned commit).
2. Verify main:docs/EDCM_MATHEMATICS.md still resolves to blob c2e059de15c4ef2c5fa9368c63363b606e503206.
3. Only then merge website PR Publish commit-pinned EDCM mathematical reference The-Interdependency.github.io#32.

If policy requires squash/rebase, stop after this PR and repin website PR #32 to the final EDCM main commit before merging it.

hmmm — content identities detect drift; they do not provide signed producer authentication.