GyroSystem — Empirical Evidence & Rhythmic Metrics (v1.1)

This document presents empirical and quantitative evidence supporting the recurrence-based cognitive framework introduced in GyroSystem: A Recurrence-Based Cognitive Architecture. Using controlled repeated-prompt experiments and GyroMeter telemetry, we compare baseline large language model behavior with GyroSystem-enabled cognition. Results show a consistent increase in rhythmic recurrence, attractor dominance, and cognitive stability when GyroBoot is active. All reported metrics are post-hoc, descriptive, and explicitly independent of wall-clock time.