Ontology V6.0: Eight-Layer Unified Architecture: Rigorous Derivations and Complete Data Tables

Abstract This paper proposes “Ontology V6.0”: a unified theoretical framework postulated on energy monism and organized into eight layers T0–T7. The paper first establishes the determinable skeleton: the two-phase C/D representation of a single energy field, the three-level C/D eight-term combinations, and the ℤ₃ orbit classification; subsequently, within the standard framework of the noncommutative-geometry spectral triple and spectral action, a finite algebra 𝒜_F = ℂ ⊕ ℍ ⊕ M₃(ℂ) yields the U(1) × SU(2) × SU(3) gauge structure, and the Pati–Salam extension is discussed. Based on combinatorial counting and self-consistency conditions, the paper gives a set of reproducible numerical relations: Ωₘ = 5/16, Ω_Λ = 11/16, Ω_b = 25/512, Ω_DM = 135/512, w₀ = −45/56 ≈ −0.8036, m_ν,₀ = 50.0212 meV, r = 0.0033, as well as the spectral-dimension flow 4 → 3 → 2 and proton lifetime τₚ = (1.49–4.48) × 10³⁴ yr. Compared with each DESI DR2 (arXiv:2503.14738) w₀wₐ data combination, the deviation of w₀ = −45/56 ranges from 0.6σ (+Pantheon+) to 1.8σ (DESI+CMB), with no 0.01σ-level agreement; the theory value w₀ > −1 lies in the same (quintessence) quadrant as the wₐ < 0 preference of DESI DR2. The entire text is annotated layer by layer as [postulate], [standard input], [combinatorial definition], [computation/condition], and [falsifiable prediction], and provides eight independent predictions and an experimental test roadmap.