Ontological Conflict Theory for Computational Complexity

**Meta-Structural Universality of Ontological Conflict Theory (OCT)**

This work presents the Ontological Conflict Theory (OCT) as a unifying, meta-theoretical framework for computational complexity.

Unlike specialized approaches, OCT establishes formal isomorphism across different domains of computational theory via a single measure of structural conflict: μ(S, Q). The key insight of OCT is that computational hardness arises not merely from input size or syntactic structure, but from an inherent mismatch between the internal structure (S) of a problem and its external constraints (Q).

OCT derives computational properties directly from the structural characteristics of a problem, without reliance on assumptions about the underlying computational model. This enables the formal derivation of equivalences between phenomena across deterministic, nondeterministic, quantum, analog, and self-referential systems.

Because of its mathematically rigorous foundation, OCT serves not as a philosophical narrative but as a precise tool for structural comparison and classification of computational problems. The conflict measure μ becomes a unifying metalanguage for analyzing the intrinsic complexity of tasks across paradigms, enabling formal translation of results between models without loss of rigor.

This meta-structural capacity positions OCT as a new layer in the theory of computation — not as a replacement of classical complexity theory, but as its structural generalization, with potential implications in logic, algorithm design, and the foundations of mathematics.