The Supra-Omega Resonance Theory (SORT): A Closed Structural Architecture for Cross-Domain Scientific Analysis

The Supra-Omega Resonance Theory (SORT) is presented as a closed structural architecture that unifies multiple scientific domains under an invariant mathematical core. The framework is constructed around a finite and closed set of 22 idempotent resonance operators, a global consistency projector, and a calibrated projection kernel. Together, these elements define a mathematically frozen architecture that admits no arbitrary extensions and precedes empirical integration by design. Version 6 of SORT establishes architectural completion. The operator algebra is closed under composition, global consistency is enforced via a light-balance condition, and validation bounds are defined as invariant thresholds. The same mathematical core is realized across distinct domains, including cosmology, artificial intelligence systems, quantum systems, and complex systems, each interpreting the invariant structure through domain-specific semantics while preserving algebraic identity. Empirical confrontation is positioned as a subsequent phase rather than a present objective. The decision to complete the architecture prior to data integration is methodological, ensuring that future empirical validation is reproducible, unambiguous, and structurally grounded. The MOCK v4 environment enforces deterministic execution, cryptographic reproducibility, and layered consistency verification as architectural features rather than auxiliary tooling. This article constitutes a programmatic statement for the SORT research program. It documents a structurally complete theory architecture prepared for empirical validation while remaining independent of any specific phenomenological application.