Add error-controlled DP5(4) integration and trusted first-crossing localization, including non-monotonic energy thresholds and representable-time stepping.
Preserve adaptive state and independent step/time retry grants across RayPool, refinement and movie scheduling. Expose numerical controls, record actual persistent-sample costs, and add v3 lens-map provenance with legacy v2 RK4 import.
Use DP54 by default and select an 8M Schwarzschild maximum step from bounded scans and a two-run 4K comparison. Retain the conservative minimum-step guard and document critical-ray and backend capability limits. Archive self-contained benchmark inputs and raw output; keep fixed RK4 HDR references explicit.
Validation: make -B -j4 BUILD_TYPE=Debug test passed; explicit RK4 HDR references have zero differences. Bounded convergence checks, benchmark reproduction, Release build and focused reviews passed. No numerical-relativity backend is added.
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