ρ and C: A Minimal Mathematics of Coherence Sovereign Ideas Papers — Core Foundation

This paper presents two formulas that describe how systems maintain coherence under perturbation. The first, ρ = R/σ, expresses the ratio of recoherence capacity to perturbation rate. The second, C = condensation → dispersion → recoherence, describes the cycle through which restoration occurs. Together they constitute a minimal algebra for regulatory dynamics. These formulas have demonstrated structural validity across eight domains: quantum systems, infectious disease, chronic disease, climate, mathematics, cosmology, workplace regulation, and education. They are offered as foundation, not theory — to be tested, broken, and extended.