SORT-COSMO: A Projection-Based Structural Framework for Cosmology Scale-Dependent Drift, Non-Local Correlations, and Projection-Induced Cosmic Structure

We introduce SORT-COSMO, the cosmology application module of the Supra-Omega Resonance Theory (SORT). SORT-COSMO provides a projection-based structural framework for analysing large-scale cosmological phenomena without modifying gravitational dynamics, introducing new fields, or performing empirical parameter fitting. The framework treats cosmological observables as structural projections of a shared operator–kernel backbone composed of idempotent resonance operators, a global consistency projector, and a non-local projection kernel. Within this geometry, scale-dependent drift, long-range coherence, and emergent structural amplification arise as projection effects rather than as consequences of altered expansion histories or additional physical degrees of freedom. SORT-COSMO formalises a set of structural diagnostics applicable to multiple cosmological anomaly classes, including scale-dependent Hubble drift, early galaxy overdensity, early supermassive black-hole seeds, low-multipole CMB modulation, and large-scale cosmic coherence. Each use case is treated as a diagnostic scenario within projection space, not as a phenomenological model or empirical fit. The framework is intentionally non-dynamical and fully compatible with standard cosmological theories, including General Relativity and \(\Lambda\)CDM. SORT-COSMO is positioned as a complementary structural analysis layer within the modular SORT v6 architecture, enabling cross-domain consistency with SORT-AI, SORT-QS, and SORT-CX while remaining agnostic to underlying microphysical assumptions.