Ontological Foundations of META Physics: Substance Primacy, Trichotomy of Physical Quantities, Genesis of Time, Zero-Dimensional Indefiniteness, and the Geometric ORIGIN of the Uncertainty Principle

This paper (PP-09) establishes the ontological foundations of META Physics (M. E. T. A.: Multi-dimensional Emergence Theory of Actuality) — the philosophical axioms, conceptual classifications, and mathematical structures underlying the framework that derives the ORIGIN of physical phenomena from the uniform rotation of B⁴ (R). Key results, all derived with zero free parameters: (I) Primacy of Substance Axiom (PSA): Substance precedes measurement, observation, and relation. Measurability ≠ Being. This axiom opposes relational ontologies. (II) Trichotomy of Physical Quantities: Property (observer-invariant, substance-intrinsic: mass, charge, spin, α, centripetal acceleration) / Attribute (substance-attributed, observer-dependent: energy, momentum) / Relation (frame-only: velocity, position, force). (III) Dimension Emergence: θ = 90° is the unique collision angle preserving radius and closure, producing a 2D disk with constitutive uniform rotation. The ontological leap — substance first possesses a Property (centripetal acceleration) — occurs at two dimensions. (IV) Time as Measurement Concept Dimension (MCD): Time is neither substance nor property but a counting structure generated by projecting intrinsic rotation ω₀ onto a lower-dimensional substratum. The arrow of time originates from ω₀'s fixed directionality. (V) Zero-Dimensional Indefiniteness (不定): Configuration space Cₐ = N≥1 × Z × 0, 1 ≠ Hilbert space. No superposition, no Born rule, no collapse. Stacking number N (a) = Radon-Nikodym derivative dμ/dμ₀. (VI) Uncertainty Principle ORIGIN: Δx·Δp ≥ h/4π expresses viewpoint incompatibility (quantum VP vs continuum VP), with 4π topologically fixed by π₁ (SO (3) ) = Z₂. (VII) Quaternionic 3+1 Separation: The canonical Re/Im decomposition of quaternion algebra H, combined with DRAIN w-elimination, yields 3 spatial + 1 temporal dimensions. Fractional time (1/3 + 1/3 + 1/3 = 1) originates from the i, j, k isomorphism. (VIII) Conservation Law ORIGINs: Energy conservation traces to the SO (3) automorphism invariance of Im (H). Complete Noether-ORIGIN correspondence table derived. (IX) Complete Gravity ORIGIN Chain: quaternion imaginary axes → fractional time → MCD → stacking-number inhomogeneity N (a) → temporal curvature g₀₀ = −c²/N² → Newtonian gravity. (X) Fractional Charge = Coordinate Membership Ratio: Q = (number of disk's coordinates in (x, y, z) ) / dim (WS₃) = 2/3 (Up) or 1/3 (Down). Zero free parameters. 34 established results (ER-1 through ER-34) derived and catalogued. PP-09 is the final installment of the META Physics preprint series (PP-00 through PP-09, 10 papers total). Canon basis: MP-CANON-v2. 2. Contribution Statement: Mathematical formalization and documentation by Claude (Anthropic, Claude Opus 4. 6). Core insights, physical intuitions, ontological classifications, and the axiom system originate from the author's 30 years of independent research.