Dark Energy as Structural Differentiation and Dark Matter as Structural Cohesion: A Unified Interpretation within The Is Framework

This paper proposes a unified structural interpretation of the three principal components of the ΛCDM cosmological model—dark energy, dark matter, and observable matter—within the ontological framework of The Is (I → D → S → A → F). The central proposal is that a single structural field, Δ(x,t), governed by the potential V(Δ) = (1/2)m²Δ² − (λ/4)Δ⁴ can give rise to three complementary cosmological phenomena through different dynamical regimes. In the differentiation regime (λΔ² >> m²), the potential acts repulsively and generates an effective cosmological constant Λeff > 0, interpreted as dark energy. In the cohesion regime (λΔ² << m²), the potential acts attractively and produces a density profile ρ(r) ∝ r⁻² together with flat galactic rotation curves, interpreted as dark matter. The framework further proposes that the D = 1 cohesion attractor represents a structurally stable configuration associated with large-scale galactic coherence. Observable matter is interpreted as the projection ΠgΔ of the structural field onto the metric layer gμν through a projection operator connecting structural and observable levels. Rather than replacing ΛCDM, this framework offers a structural reinterpretation in which dark energy, dark matter, and observable matter emerge as complementary expressions of a single underlying field dynamics. This release includes: Full preprint manuscript Reproducible Python demonstration README documentation Seven primary figures Structural potential V(Δ) Projection Operator Πg One Potential → Three Phenomena framework D = 1 Cohesion Attractor interpretation Falsifiability criteria and future directions Central Theme One Potential → Three Phenomena Differentiation → Dark Energy Cohesion → Dark Matter Projection → Observable Matter