Persistence Across Scales: Where the Universe Swings Back

The Persistence Equation models a system's capacity to retain structure in the face of entropy through reversibility, redundancy, and flexibility. This conceptual framework reveals a universal principle: wherever vibration or iteration exists, swing-back is possible. From quantum coherence to biological regulation to cosmic regeneration, the swing-back dynamic is the engine of resilience across all scales. This document maps the manifestations of swing-back — and its breakdown — from the smallest particles to the evolution of the cosmos.