Discovered before implementing Phase 1: the live identity trajectory
final_state.F carries the invariant versor_condition(F) < 1e-6 — it is a
VERSOR (even-grade operator, grades 0/2/4, exactly zero grade-1 content).
§2.1/§2.2's literal 'project psi_traj onto the grade-1 value subspace' is
therefore VACUOUS on the real runtime object: P_id(F) = 0 identically,
flagging every trajectory — a fail-closed brick. Root cause: a versor is
an operator, not a state vector; projecting the operator into a subspace
of states is a category error.
Resolution (ratified by Joshua Shay 2026-07-17): measure whether the
versor PRESERVES the value subspace, via its action on the axes
F a_i F~ (sandwich). Two per-axis measures, both empirically verified
necessary and non-redundant:
- subspace leakage = euclidean_norm(rot_i - P_I(rot_i)) — catches a
versor tilting a value axis toward an alien dimension (e4/e5);
- signed self-alignment = <a_i, rot_i>_0 — catches in-subspace
inversion (e1 -> -e1: leakage 0 but self-align -1), the concrete
realization of the ratified 'signed overlap, never abs()' decision.
Keeps the grade-1 pack axes unchanged (no pack migration) and sharpens
inalienability: identity is invariant UNDER transformation, not a frozen
state.
§4a rewritten to the operator-preservation spec (lift_axis, gram_matrix,
subspace_project, sandwich, euclidean_norm, axis_response); governance
annotation item 12 records the reframe + ratification; plan doc §3 Fact C
+ §5 Phase 1 + progress log updated.
[Verification]: docs-only ADR/plan amendment; provenance/ADR guard
(test_adr_0241_governance_p12.py) 6 passed — ADR-0244 Status line
confirmed still 'Proposed' (the item-12 ratification text is inside the
annotation/§4a, not a status flip). All acceptance numbers pre-verified
via in-tree numerical probes against algebra.cl41.
Reconciles ADR-0244 against its own D0 blockers and commits ADR-0245 as
a real companion ADR (previously a dangling reference in ADR-0244 §4).
ADR-0244 governance annotation expanded (11 items, all body text below
preserved verbatim for R&D provenance; annotation governs on conflict):
1. Q_top proof (already landed) now explicitly drops the §2.2 egress
ΔQ_top conjunct (it is a hollow, always-true discriminator).
2. §4-vs-§2 contradiction RESOLVED — new §4a is the governing spec;
§4 kept verbatim as the (contradictory) original R&D sketch.
3. §2.1 axis construction was underspecified (packs ship dim-3
directions, not 32-vectors) — resolved via a grade-1 lift at the
e1/e2/e3 slots (algebra.cl41.basis_vector), not embed_point.
4. §2.2 amended: signed overlap (never abs()'d — anti-alignment must
stay distinguishable from orthogonality); leakage norm is the
positive-definite Euclidean coefficient norm, not the indefinite
Cl(4,1) inner product (which (+,+,+,+,-) permits to vanish for
nonzero leakage).
5. Inalienability reframed as 5 testable layers (algebraic / runtime
/ pipeline / operational / semantic) — only the first is a math
guarantee.
6. Paraphrase-invariance reworded as an empirical, measured property;
Q_top conservation scoped to pure versors only (relax_to_ground
can converge to non-versor superpositions — the ADR-0243 SD-A
subtlety).
7. boundary_ids activation (currently stored, never evaluated).
8. Identity manifold is FROZEN — biography holonomy accumulates
separately and never mutates the identity subspace.
9-11. Filename correction (multimodal_lifecycle.py doesn't exist;
real file is cognitive_lifecycle.py), ADR-0245 cross-link,
theological citation labeled ESV + analogy disclaimer.
New §4a supersedes §4 with a typed, Gram/leakage-correct specification
(ManifoldConditioningError, IdentityGateRefusal, bounded/abstaining
C_id, isfinite + shape guards — no bare assert) for Phase 1/2 to build
against under TDD.
ADR-0245 committed Proposed, verbatim from the R&D export, with a
governance annotation mapping its 4 decisions + Sec 3 acceptance gate
against what the cohesion-directive arc already landed (Rust f32 GP,
_cached_eigh, digest hot-path all done; f64->f32 cast + Sec 3's
speedup/collision proofs open — tracked as D4 Phase 4/5).
Audit doc (adr-0244-cohesion-directive-audit-2026-07-17.md) wrinkles
1-2 and Q5 sequencing updated from 'pending'/'must reconcile' to
resolved, cross-referencing this landing.
[Verification]: in-worktree smoke gate 176 passed; provenance/ADR
governance pins (test_adr_0241_governance_p12.py,
test_adr_0242_topological_quarantine.py, test_third_door_cohesion.py)
30 passed — confirms ADR-0244 stays Proposed (no status flip) and no
existing ADR provenance guard was disturbed. Docs-only change, no
executable surface touched.
Comprehensive phased plan for full ADR-0244 realization (D4) plus the
ADR-0245 companion: locked design decisions (Q_top dropped from egress,
grade-1 axis lift, signed overlap, Euclidean leakage norm, frozen
identity manifold, bounded/abstaining C_id), code-verified ground truth
(Fact A dim-3 axes, Fact B two field surfaces, boundary_ids dormant),
folded-in external-review considerations, and a per-phase progress
dashboard for seamless cross-session resume after rate-limit breaks.
[Verification]: docs-only (docs/handoff/), no executable surface; smoke
deferred to Phase 0 (first phase touching governance/ADR tests).
