The Incomplete Dual Structure of Absolute Void and Infinite Meta-Regress

This paper does not claim that absolute void (∅) and infinite meta-regress (M∞) form a perfectly demonstrable duality. No ultimate justification for such a claim can itself escape the regress problem. Instead, the present framework argues for a weaker but structurally significant thesis: Although both ∅ and M∞ contain fatal internal contradictions when taken independently, each partially alleviates the failure of the other. Their coexistence is therefore not grounded in absolute logical necessity, but in a mutual incompleteness that permits a stable ontological tension. Absolute void cannot express itself. Any attempt to define, identify, or refer to the void immediately generates a relation, thereby violating the very condition of absolute nothingness. Infinite meta-regress, by contrast, cannot terminate. Every axiom requires a meta-axiom for its justification, and every meta-axiom requires another higher-order justification without end. Existence therefore cannot achieve complete self-grounding. Taken independently, both structures collapse: ∅ collapses through inexpressibility. M∞ collapses through non-termination. However, these failures are not entirely isolated. Infinite meta-regress provides a mode through which the inexpressibility of the void can indirectly manifest, while the impossibility of closure within regress drives M∞ toward a state structurally analogous to voidness. This relation does not establish identity.It establishes coexistence through mutual mitigation. Thus, existence is not understood as a fully justified system, nor as a pure nothingness, but as the unresolved ontological tension between two irreducibly incomplete structures.