The Persistence Equation as a Unified Predictive Framework: From Molecular Systems to Cosmology

The Persistence Equation was originally developed to model structural resilience in biological and cognitive systems under entropic stress. However, its applicability extends far beyond. In this paper, we argue that the Persistence Equation — built from core principles of reversibility, entropy, adaptability, and fragility — represents a minimal and scalable formalism that can model phenomena from molecular redox biology to gravitational singularities, dark matter, and cosmic acceleration. We present its trajectory of application, demonstrate how it resolves core cosmological features without invoking new physics, and propose that, with further refinement, it may offer the most parsimonious and epistemically justified predictive framework available across disciplines.