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docs(261026-d95): record seeded oracle and paired NO-GO verdict

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# Direction-split ALT: proof gate (research branch only)
Status: P-1 and P-2 proved for **pair-restricted domain and independent A* stopping** below; measurements pending. This is not a proof for the shipped Ikeda sum-of-tops rule with asymmetric families.
**Verdict: NO-GO** for deployment and the 8 ms Worker budget. P-1 and P-2 proved for **pair-restricted domain and independent A* stopping** below; the measured branch-only implementation is 4.35× slower at paired p95 than the original control despite fewer expansions. This is not a proof for the shipped Ikeda sum-of-tops rule with asymmetric families.
## Graph and tables
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Hand checks: oneway ring `0→1→2→0` with a forbidden bit0 mirror `1→0`, forward to[0] labels (0,2,1) for unit edges and backward from[0] (0,1,2); all allowed edges respect their *respective* oriented inequalities while mirror never relaxes. Bridge `A→B` costing 1 with no return, anchor in A: from[B] finite and to[B] sentinel; anchor in B: to[A] finite and from[A] sentinel. For a query A→B, applicable columns require origin/goal finite and S retains the bridge; B→A fails the endpoint reachability check and returns null. Disconnected anchored island vs unanchored component has sentinel endpoint(s); a route wholly in the unanchored component retains an empty active set and can still succeed, while a cross-component route is null. In all three examples, cross-boundary edges are excluded only if they cannot be on an o→g path.
## Experiment and verdict
## Measured experiment and verdict
Pending runner, adversarial oracle checks and paired host measurements. The 8 ms Worker budget is **NOT MEASURED** here; no synthetic speedup or host-local result can certify the Worker free-plan gate.
Branch-only `routing/scripts/experiment-alt-direction-split.mjs` implements these independent A* keys, single-vertex meets, stale-key pruning and a query-domain mask. New suite `routing/test/alt-direction-split-experiment.test.mjs` tests **every pair** across one-way rings with blocked mirrors/spurs and equal costs, both directions of one-way bridges, isolated anchored/unanchored islands, endpoints and interior `0xffff` cells, mixed columns and a finite→sentinel cross-edge per-node skip adversary. Each checks independent O(V²) Dijkstra seconds, null classes and legal reconstructed edges. On real graph, `sweepOracle` uses the *exact* 200 compared snapped cross-metro pairs (seed `0x08f1`, 600 draws, 12 km minimum, 120 rejected snap misses) and independent heap-Dijkstra; **182 routed, 18 unreachable; suboptimal 0, oracle-mismatch 0, class-break 0** at symmetric ±1e-6 s. No synthetic or real pair disproved this conservative stop; the counterexample to naive per-node masking is above, not a measured result of this runner.
Measured 2026-10-26 on `HAFu`, Node v24.18.0, Linux, binary SHA-256 `366e1be2ca270e5e67cb0debc98887b6dcb66f29849747d59f4e0e58739ec5b8`, ARG2 311,361 nodes / 677,126 edges. This checkout's `routing/data/kl-roadgraph.v1.bin` is an **existing read-only symlink** to the other checkout; no binary modifications. Reproduction: `node routing/scripts/experiment-alt-direction-split.mjs`. The experimental instrumented comparison used an automatically removed temporary *source-identical* shipped clone with only two settled counters injected, and also timed original unmodified `routeAstar` on the same snapped endpoints. Clone/original seconds agreed to ±1e-6 for each routed sample. A dedicated warm-up (not included) took experimental 0.935 ms, original 20.005 ms, clone 27.471 ms.
The seed `0x08a1` 100-pair, ≥12 km extended draw produced **41 snap misses, 6 unreachable and 53 routed**; each routed pair was measured twice, reversed run order across rounds (106 routed measurements each). Misses are **outside** routed p95; each pair was compared at identical snapped endpoints. Times are Node `hrtime` wall elapsed for search call on this host, *not Cloudflare Worker CPU instrumentation*, so they cannot establish a Worker CPU PASS.
| Search | n | Median ms | Mean ms | p95 ms | Total settled expansions (106 calls) |
|---|---:|---:|---:|---:|---:|
| Direction-split / domain-mask experimental | 106 | 150.845 | 197.490 | **516.778** | 9,958,938 (forward/backward split NOT MEASURED) |
| Source-identical isolated shipped clone + settled counters | 106 | 73.588 | 72.331 | 129.327 | 14,037,662 (6,764,880 fwd / 7,272,782 bwd) |
| Original shipped haversine-only `routeAstar`, unmodified | 106 | 73.619 | 71.864 | **118.923** | NOT MEASURED directly (clone is expansion proxy) |
Experimental/clone expansion ratio **0.709×**; experimental/original shipped paired p95 **4.35× slower** despite fewer settles. The experiment selected an average of 22.64 to- and 18.87 from-columns per routed call (2400/106 and 2000/106 respectively); shipped has 0/24 clean columns and is the actual haversine-only control. No claim of runtime speedup. Search-scoped domain scanning, per-vertex `Math.max`, and heaps/allocations in this research runner may account for some overhead, but optimization is NOT demonstrated and no performance claim is transferable to an optimized Worker implementation.
Control gates unchanged: `npm run routing:test` **85 passed, 0 failed**, including shipped A1/625; `npm run routing:typecheck` **PASS**. `node routing/scripts/measure-optimality-gate.mjs` D-03 frozen record **PASS** (53 routed equal, 6 unreachable, 41 unsnappable; 0 class breaks). `node routing/scripts/measure-route-cpu.mjs --extended` shipped-control **FAIL**: 53 routed/100, p95 **127.933 ms**, >8 ms; 47 misses printed separately. Early test invocation lacked installed dependencies and failed L2/tsc; `npm ci --ignore-scripts --no-audit --no-fund` installed local dependencies, and both gates then passed; no source changes to those gates.
**Proof status:** P-1 PASS for induced pair domain; P-2 PASS for the conservative independent-frontier stopping bound, **NOT** a proof of asymmetric Ikeda sum stopping. **Oracle status:** 0 violations in synthetic exhaustive and real seeded runs. **Budget status:** local original control FAIL on 8 ms test; candidate local p95 FAIL; representative free-plan Worker 8 ms **NOT MEASURED**. **Recommendation:** NO-GO on integration; retain original A*, baseline and bot/web unchanged. A later, separately approved investigation could evaluate typed-array/precomputed component labels and a separately proved stronger meet bound, then rerun identical oracle and actual Worker-host CPU gates. No merge or Worker-budget retirement is justified.