7 persistent Failures 1 root Function , Pt. 2

The companion paper Seven Persistent Failures, One Root Function (Schlereth, 2026) derives a single information-theoretic constraint, H = 1/(α − 1), from Shannon's entropy evaluated on a Pareto-distributed consequentiality landscape. It unifies seven documented LLM failure modes — hallucination, sycophancy, overthinking degradation, accuracy collapse, out-of-distribution blindness, variance explosion, and the scaling paradox — as behavioral expressions of three forced exits (truncate, confabulate, loop) when a bounded inference system's representational frame is exceeded. Thirteen falsifiable predictions follow. This paper tests those predictions in three domains beyond LLMs: autonomous vehicles, multi-agent AI systems, and robotics.