A Universal Geometric Theory of Health, Illness, and Reversibility

This work presents a unified geometric framework for understanding health, illness, and healing as transformations within a high-dimensional biological manifold. Organism states are represented as points with curvature relative to an ideal health attractor. Illness is modeled as an operator that increases curvature, while healing is represented by the abstract operator $\mathcal{K}$, which identifies the lowest-curvature state reachable under identity-, safety-, and ethics-preserving constraints. The theory defines a four-class reversibility system (A: fully curable, B: conditionally curable, C: partially improvable, D: constraint-locked) and a mechanism–scale lattice that organizes all illness patterns into a single conceptual structure. This is a purely theoretical and mathematical model. It contains no biological procedures, no therapeutic mechanisms, and no implementation guidance. Its purpose is to provide researchers with a general conceptual lens for analyzing disease trajectories, reversibility boundaries, partial improvement dynamics, and theoretical limits of recovery across scales.