Proof From the Predomain: Prior to the Subject–Object Split

This work argues that there exists a structural condition prior to the subject–object split — a region designated the predomain — and that from this region a differential relation H > K can be derived, where H denotes the horizon of potential manifestation and K denotes any actualized content. The argument proceeds in strict Euclidean form through twenty-six numbered propositions, culminating in the Midchain Theorem and the Twin Theorem. Seven structural operators formalize the internal relations of the predomain; their interaction necessitates actualization, named apparentia fit. Historical positions from Plato, Aristotle, Leibniz, Husserl, Heidegger, and Nāgārjuna are examined and shown to approach but not reach the predomain. A Normative Bridge Principle connects the ontological findings to ethics. Six major objections — modal, regress, empirical, and Gödelian — are addressed within the formal framework. The book constitutes a proposal for predomain philosophy as a new research program operating prior to intentionality and phenomenal givenness.