Show HN: Growth-Ratio Energy Function as Leading Indicator 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 (including 4 open-weight local models via Ollama). Multi-trial evaluation confirms all resolve-rate differences fall within the ±4% LLM nondeterminism band. Local model validation reveals a small-model self-sabotage pattern where naive turn-limiting outperforms unconstrained baselines by +17.5pp on average.