Structural Differentiation Cosmology: An Is-Sequence Reconstruction From Meta-Ontological Axioms to Falsifiable Cosmological Predictions

This release presents Structural Differentiation Cosmology (SDC), an interpretive cosmological framework derived from the Is Sequence—a five-stage meta-ontological progression: I → D → S → A → F where Isness (I) is proposed as a pre-differentiated ground, Difference (D) as structural differentiation interpreted through morphism-like distinction, Structure (S) as geometry–growth organization, Appearance (A) as observable cosmological signals, and Feedback (F) as iterative model revision through observation. Building on The Is Framework v3.0 and Difference as Morphism v2.0, this work introduces a domain-level reconstruction connecting meta-ontology to cosmology. The central empirical proposal is the Geometry–Growth Partial Decoupling Theorem (GGPT), which suggests an illustrative observational pattern characterized by relatively small deviations in expansion history (ΔH/H) alongside relatively larger deviations in structure growth (Δfσ₈) near redshift z ≈ 1.5. This pattern is proposed as a potentially distinguishable signature that may be examined through future observations, including Euclid, DESI, weak-lensing surveys, and related multi-probe analyses. The framework incorporates a dual-layer falsifiability architecture. Layer 1 inherits the general evaluation criteria C1–C12 from The Is Framework v3.0, while Layer 2 introduces domain-specific criteria C13–C15 addressing causal degeneracy, mapping failure, and feedback collapse within the SDC reconstruction. All mappings presented in this work are interpretive. No ontological reduction is claimed, and no physical derivation is asserted. SDC is proposed as a complementary interpretive framework alongside ΛCDM rather than as a replacement for standard cosmological parameter models. This Zenodo release includes the complete manuscript, all figures (Fig.1–Fig.10), and a reproducible Python demonstration script for figure generation.