Triadic Field Ontology: A Unitary, Relational Field Theory of Emergent Matter, Timeless Wheeler-DeWitt Geometry, and Decentralized Entropy Self-Regulation

The Triadic Field Ontology resolves the Ex-Nihilo paradox ($0 = 0$) and central physical curvature singularities (K → ∞) through a continuous, stretched quantum field geometry. Rather than creating matter ex nihilo, the framework establishes an elastic scalar field Φ with a non-trivial vacuum expectation value 0 | Φ | 0 ≠ 0 (0 ≠ 0, 90^∘ latency 1/4π). Under critical energy density, transversal waves buckle into a 270^∘ phase arrest (3/4π) and condense into 3D standing soliton waves (0 ≠ 1), generating rest mass m = hν/c² and charge q. Quantum-geometric protective shields based on W2,2-Sobolev regularity limits (BQ) prevent physical singularities: black holes are regularized into geodetically complete Planck stars, while the Big Bang paradox transitions into a past-complete bounce. Internal relational time τ emerges via Page-Wootters projection relative to local quantum reference frames (QRFbio). Incorporating recent empirical data from DESI 2024, lattice QCD, JWST $z > 10$ galaxy abundances, and B-mode polarization bounds ($r < 0.001$), this paper presents a unified, testable, and strictly falsifiable framework for quantum gravity and cosmology.