Applied Λ (v11): Measured Per-Request Latency Overhead of an Audit-Closure Operator in a Governed AI Runtime

v11 is the empirical companion to v10. The audit-closure operator Λ₁₀ is instrumented as a live HTTP route on the SZL Holdings runtime; 24,800 HTTP calls across eight production routes (A11oy, Amaru, Sentra) × 1,000 iterations × 2 arms yield median per-request governance overhead of 0.49–0.59 ms per route, p99 overhead ≤ 1.27 ms, and ρ = 1.000 on 8,000/8,000 governed pairs with zero missing artefacts. The full Λ axiom suite (48 tests, four files) and the Λ adapter suite (13 tests) re-run green on the same commit (61/61). No new physical or mathematical object — Λ₁₀ is a product of indicator functions justified by elementary algebra. The contribution is the measurement. Reference implementation: szl-holdings/szl-holdings-platform branch recover/ouroboros-integrations at commit 6c5c28366.Part of the Ouroboros Thesis chain by Stephen P. Lutar Jr. (ORCID 0009-0001-0110-4173, SZL Holdings). Reference implementation: github.com/szl-holdings/ouroboros. Source repository: github.com/szl-holdings/ouroboros-thesis.