Empirical Lyapunov Stability: Growth-Ratio Energy Functions as Leading Indicators of Agent Task Failure

An empirical validation of physics-inspired runtime monitoring for multi-turn LLM agents across 3,175 total runs spanning four benchmarks (τ³-bench, SWE-bench, MINT, custom local-model battery). A 5-condition ablation study with multi-trial validation (333 SWE-bench runs) demonstrates that Lyapunov monitoring achieves 38.6% compute reduction with zero false positives across 5 model families…