GyroSystem: A Recurrence-Based Cognitive Architecture Rhythmic Intelligence and μ-r Cognitive Dynamics

This publication introduces GyroSystem, a post-temporal cognitive architecture based on rhythmic recurrence rather than sequential time.It defines the Rhythmic Moment (μ-r) and normalized rhythmic density (ρᵣ) as computable metrics for cognitive stability and pattern recurrence.The work includes formal definitions, architectural implications, and internal experimental observations derived from the GyroBoot cognitive system.