[GoGoKo699]

The field route had a paid four-address decoder, while the next recursive recoupler still had unpriced controlled coordinate maps. This adds a complete eight-address native intertwiner: 172 T gates, at most 83 T bands, eight arbitrary wires, and no extra helpers. Its forward word has 1,234 elementary gates; the actual inverse has 1,286. Projective homogeneity, an unconditional Clifford baseline, and paired-reflection phase cancellation remove the finite unpaid operation, including the entire zero fiber.

The construction is a finite calibration. Enumerating projective lines is exponential in bank width, so it supplies no uniform compiler or improvement to R96. The next construction obligation is joint synthesis across projective factors and recursive levels, allowing the complete probe's commutant freedom.

The same revision adds three independently audited restrictions with separate proof homes:

• A complete field decoder needs absorbed-axis rank and T count at least 2m-2 for at least three address bits. The robust radius is sqrt(2)/6 with arbitrary Clifford helper motion, sharpened to 1/3 for identity or residual-field helper actions. Independent finite cells fail even after arbitrary joint outer Clifford walls.
• Two physical T bands with disjoint absorbed spans have full-intertwining error at least sqrt(1-1/sqrt(2))/2. Partial bands, enlarged fields, and moving Clifford helpers are included; overlapping spans and the weaker probe contract remain open.
• Scalar-field shear automorphisms force the image of an equivariant bilinear product to be square-zero. In the stated associative radical model this produces a four-address identity for every address embedding, giving direct-copy error at least 1/2, or original-copy error at least 1/4 through a selected output dual. This does not exclude arbitrary Clifford duals or the field query itself.

Validation is complete on head 1d477dd658ec5433526c89d879473831e4f8dcd3, tree 37e229dd37c99c78c94665d6b18405cede886047.

• All ten local gate commands passed on Python 3.12.14 / NumPy 2.3.5, including 2,054 tests in 1,819.807 seconds, all four fault-tolerant suites, synchronization metadata, and both resource ledgers. The complete gate took 1,856.258 seconds.
• All 40 focused new and presentation-guard tests passed. Independent exact arithmetic checks every native column, both actual inverses, all eight addresses, literal reflection signs, and returned borrowed wires. The retained native words match the independently audited emitter.
• All five head-bound CI checks passed. Each numerical job passed 2,054 tests, all 19 new tests, all four fault-tolerant suites, and all 16 workflow steps.

CI job	Python	NumPy	Tests	Test seconds
pr-python311	3.11.17	2.4.6	2,054	2431.043
pr-python313	3.13.17	2.5.4	2,054	2530.504
push-python311	3.11.17	2.4.6	2,054	3005.455
push-python313	3.13.17	2.5.4	2,054	2546.837

PR jobs checked out synthetic merge ebd5067d12149c7d478de15975347fbe48efd7d3, whose tree exactly matches the reviewed head and whose parents are the expected base 156f2cd4f5bc2e3c3d1f4afec17b31d0627764d3 and head. Push jobs checked out the exact head.

Focused presentation checks covered 12 pages, 5 SVGs, 464 unique mathematical expressions and 578 protected occurrences, with zero failures. Five desktop/narrow viewports were manually inspected. Full presentation CI passed all nine steps; artifact 12830143050 is bound to the final head, with digest 43c4de588314a6136bc40723913090bbb6d6f153d17ff89eda49efd82aa75456.

Review receipt SHA-256 identifiers:

• Local complete gate: 8338a30c77dc76e8344ac6ca61054fe552d2310adbd3494301aaf841187afbc3.
• Complete CI qualification: 0868bbf9118f8055e2253d5d14d3458db2c495c24eb87d6537c0469543ba1377.
• Focused presentation report: 7d5b76a80b6d1e0088e75495c252800490df8c2c925e3dcb618c94718affd0e3.
• Exact source/viewport review: c940ac203913b28dc9de5319e25f217e673d898785ad392846898e1f721a5011.
• Independent native audit: fd41a4284e1bf31a561a02c7afcae28fddbf45408eba2b3b498c3fb971f36189.

Full numerical log SHA-256 identifiers:

• pr-python311: 70fac6fa82ef6d70cdadf4b02108ba7ea8db3ed2931a3b4bf40834330bf9d073.
• pr-python313: 648d602ffc62349ec80e23d91693a64c0be3be1a72366069aaed0a5c5399cc5f.
• push-python311: 295868d6b9368f54e71c71763beb96c7d0aa55a9df7875e892e64ef485728efe.
• push-python313: 36c795067a86ed18cfbca11d3587cfbfad7b1b8e1babbc0f088571a31a60f31e.

Routing pages and the 220-line continuing workspace are updated. Existing proof homes, unique attempts, anchors, and the general resource frontier are preserved. R96 and selected Result D are unchanged.

A separate unmerged continuation checkpoint preserves the subsequent six-helper finite allocation, weak-probe bounds, and augmented recoupler. Those follow-up claims are not part of this PR and have focused checks rather than a new full integration gate. The checkpoint also retains compact qualification receipts for this merged revision.