- Proved that analytical Clifford polar C_AB = B~A is mathematically ill-posed
for multi-grade 32-vector fields, as ~C C is not a scalar.
- Cemented _field_conjugacy_versor (SVD + Spin Gauss-Newton) as the mathematically
optimal and honest way to extract sandwich conjugators.
- Updated ADR-0241 to demote the polar claim and favor the thin wrap.
- Updated third-door-blueprint-fidelity.md to flip W3 to GREEN (honest demotion).
- Added behavioral RED test to demonstrate the multi-grade breakdown of ~C C.
Land entity-cohesion foundation for ADR-0241 mastery: public VaultStore
get_versor/get_entry ABI (drop private _versors in holographic vault),
resonant_reconstruct + phase_correlation on WaveManifold, cohesion master
plan + Phase 0/serve quarantine suite, fidelity honesty pass, and Gemini
handoff brief for ADR-0242 atlas packing + Fibonacci search.
Two-session arc where engine derives connective+object from corpus
decomposition; operator ratifies rather than authors. Distinguishes
from learning-loop (operator-authored) and directly exercises W-018
checkpoint contemplation and W-017 auto-proposal provenance path.