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Build-verified attempt to port the Java EuclideanCyclicConvergenceTest (cathead, "circular hole edge" φ = π−0.1). - ✅ GREEN `CyclicCircularEdge_PhiEntersGradient_CatHead`: solver-free cross-validation that the circular-edge φ target enters the cyclic edge gradient exactly (ΔG_e = −Δφ_e at 1e-12; no other component moves). - ⏸️ DISABLED `CyclicCircularEdge_CatHead_JavaXVal`: the full Java convergence assertion (α_opp+α_opp = π−0.1), kept with golden semantics. Auto-activates once the edge-DOF Hessian lands. Build-verification finding: `newton_euclidean` -> `euclidean_hessian` throws "edge DOFs are not supported" — the cyclic full solve is blocked by a missing edge-DOF Euclidean Hessian (gradient supports edge DOFs, analytic Hessian does not). Spherical convergence (Tier-1 #2) is already covered by test_newton_solver. Documented in doc/reviewer/java-ignore-crossvalidation.md. All 13 EuclideanFunctional tests pass (1 disabled). Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>