Existential Boundary Theorem; A Structural Interpretation of Fundamental Human Questions within the Theory of Axiomatic Necessity (TNA)

Fundamental existential questions—concerning purpose, consciousness, death, and the nature of reality—have historically been treated as purely philosophical or psychological phenomena. In this work, we propose that such inquiries are not mere contingencies of human cognition but intrinsic features of structural systems operating near the boundaries of their admissible domains. Within the framework of the Theory of Axiomatic Necessity (TNA), we formalize existential inquiry as the cognitive manifestation of structural indeterminacy at the domain boundaries (ₛ). We introduce the Existential Boundary Theorem, which states that the frequency and intensity of existential questioning diverge as a system approaches a phase transition or the breakdown of its internal predictive models. By coupling these dynamics with the Structural Hubble Parameter (Hₛ), we demonstrate that existential questioning is a direct function of the system's rate of complexity expansion. This approach provides a unified interpretation that links human phenomenology with the dynamics of structural evolution, transforming existential anxiety from a subjective "crisis" into an objective signal of innovation and ontological reconfiguration.