Adds the correct grade-raising "wire" the field substrate was missing — so cga_inner
can operate on RELATIONS among entities (lines/planes/incidence), not just pairwise
point distance. Built only from existing Cl(4,1) primitives (geometric_product,
grade_project) + the pseudoscalar; no normalization, no approximation, versor_condition
path untouched (flats are null-cone wedges, not unit versors).
- outer_product: DOCSTRING-ONLY honesty fix (behavior byte-identical, every caller
unchanged). It is the commutator 0.5*(XY-YX) = the wedge ONLY for grade-1 vectors;
for higher grades it is the Lie bracket, NOT the wedge, and does NOT build a k-blade
by repetition. Existing callers consume it as an opaque cga_inner-reduced feature
(none read it by grade), so the relabel is safe. Points to graded_wedge for the real
exterior product.
- graded_wedge(X,Y) = <XY>_{grade(X)+grade(Y)} — the true wedge; agrees with
outer_product on grade-1, differs above (pinned by test). Builds lines/planes.
- is_incident(point, flat): EXACT zero-test (point^flat == 0, no float tolerance to
admit — near-incident is refused, per wrong=0). Exact at scale in f64.
- dual(X) = X*I5^{-1} (I5^2=-1 confirmed); involutive up to sign.
- meet(A,B) = dual(dual(A)^dual(B)): correct for spanning operands (two planes -> their
line, incidence verified). HONEST ENVELOPE: degenerates for non-spanning operands
(coplanar lines) — returns the ZERO multivector (detectable, documented, tested),
never a silent wrong value. The general coplanar intersection needs the join-relative
meet, deliberately NOT faked here.
Green: smoke 87, algebra 82, incidence 8, outer_product consumers + invariants 109;
zero regressions (outer_product behavior unchanged).
Phase 0 of the field-reasoner wedge — net hardening regardless of the
experiment's outcome.
- algebra/cga.py: embed_point gains a dtype kwarg (f32 default byte-unchanged;
cl41.geometric_product already preserves f64) + read_scalar_e1 projective
dehomogenization read-back (weight-invariant; correct for dilations, where a
raw distance-from-origin is wrong) + EMBED_EXACT_MAX pinned magnitude ceiling.
f32 silently collapsed integer coordinates past ~1e4.
- core/reasoning/evidence.py: verify_tier2_agreement now keys independence on a
reader_lineage pathway token (refuses SAME_READER_LINEAGE), replacing the
label-only len(set(signatures))<2 check a single reader could satisfy by
relabeling. reader_lineage is excluded from canonical serialization, so the
entailment trace_hash is unchanged.
- tests INV-27: transitive reader-disjointness over TIER2_READER_PATHWAYS makes
the lineage check load-bearing (distinct lineage => proven import-disjoint
pathway). The two seeded readers share zero transitive first-party modules.
Green: smoke 87, algebra 82, cognition 121, 53 architectural invariants,
reasoning/deductive/r1 50; 16 new f64-exactness tests; zero regressions.
- Add algebra/rotor.py: word_transition_rotor() as a free operator function
- Update algebra/__init__.py: export word_transition_rotor
- Refactor vocab/manifold.py: remove edge_rotor(), add versor grade-norm
invariant check in add() to reject raw coordinate vectors at insertion time
VocabManifold now stores only algebraically valid Cl(4,1) versors and
exposes only relational lookup (CGA inner product). Rotor construction
is a contextual algebra-layer concern, not a vocabulary property.
