QSA exact affine relation algebra

[Inserian]

Adds an exact typed affine/difference relation algebra above accepted PR77 for admitted spatial, relative-state and physics constraints.

The child consumes only caller-admitted opaque symbol identities plus exact rational displacement vectors. It does not parse natural language or choose semantic truth. Its relation contract is coord(lhs) - coord(rhs) = delta, with exact QRational coordinates and an explicit shared QPhysicalDimension.

The implementation provides:

• weighted exact relative-state composition with exact rational vector arithmetic;
• exact inverse displacement queries;
• explicit disconnected/unresolved state instead of fabricated coordinates;
• redundant implied-constraint suppression;
• contradiction rejection before accepted state is changed;
• insertion-order-independent canonical component coordinates, normalized to deterministic opaque-symbol anchors;
• explicit symbol/dimension/independent-constraint caps and fail-closed validation;
• QMath language route AffineRelation, preserving rational vector type, physical dimensions, canonical identity and sorted opaque dependencies with ExactAlgebraic evidence.

The existing QMath carrier gates 3D exact composition/inversion, disconnected state, redundant constraints, contradiction nonmutation, insertion-order-independent identity, fractional 1/2 and 1/3 offsets, displacement-dimension rejection, resource caps, receipt accounting and QMath physical/evidence preservation.

Brain boundary: Brain language/semantic admission maps validated concepts such as relative position or physical displacement into typed vectors and accepted procedure arguments. QSA composes and certifies those exact relations. QSA does not parse prompts, own procedure identity, decide truth, write memory, or select the final response. The same primitive is intended to support both spatial cognition and general physical relative-state constraints rather than a benchmark-specific direction parser.

Research-only stacked successor to accepted PR77; no merge or production promotion is authorized.