One Number to Measure Anomalies — The Balance Metric Across Domains

This research note synthesises findings from six independent domain validations of the Ô operator balance metric: ENSO, COVID-19 (6 countries), earthquakes, sunspots, LLM hidden states, and LLM attention weights. Balance consistently separates anomalous from baseline states across all domains, with a classification spectrum spanning ~10^20 in energy scale.