The Paradoxical Compatibility of Absolute Determination and Absolute Emptiness

This work proposes a dynamic ontological framework based on the Markov-Yoneda embedding, where objecthood and rule structures are not treated as independent substances but as mutually dependent relational conditions. By extending the classical Yoneda embedding into a probabilistic relational space, we show that existence emerges only through the incomplete overlap between localized object condensation and globally distributed rule dynamics. Within this framework, two seemingly opposite limit states — Absolute Emptiness (XX) and Total Determination (OO) — become structurally paradoxical. Absolute emptiness cannot manifest because no distinctions or relations exist, while total determination cannot manifest because all distinctions have already collapsed into perfect closure. Although opposite in form, both states become equally inexpressible and observationally inaccessible. To resolve this paradox, we introduce the notion of a mutual relative complement structure between rule formation (XO) and object formation (OX). Rules emerge through the absence of fixed objecthood, while objects emerge through localized stabilization within fluctuating relational fields. Existence therefore cannot be reduced to either pure openness or complete closure, but only persists through a non-equilibrium superposition of incomplete determination. The Conjugate Constraint further prevents existence from collapsing into either absolute void or total saturation, enforcing an irreducible ontological openness. Consequently, identity itself becomes fundamentally non-coincident: X≢XX XX≡X Existence is thus interpreted not as a fully resolved substance, but as the persistent indirect manifestation of structures that can never become completely present to themselves.