Ontological Resolution Theory (ORT) — CANON v24.0

A fractal-computational theory deriving the constants of physics from first principles. The Standard Model of particle physics relies on 19 fundamental free parameters (masses, couplings, mixing angles) that must be measured experimentally. Ontological Resolution Theory (ORT) proposes a radical, parameter-free alternative: physics is not the study of continuous fields or point-like objects in empty space, but the study of a deterministic, self-rewriting code executing on a discrete spatial substrate. The fundamental hardware of reality is identified as a 4-dimensional Face-Centered Cubic (FCC) lattice with the unique optimal coordination number k = 12. Particles are not substances; they are self-replicating topological update instructions (defects) processed by the lattice. Major Breakthroughs in Version 24.0: Dual Derivation of the Fine-Structure Constant: Version 24.0 presents a historic milestone—two independent, parameter-free derivations of the inverse fine-structure constant. The first is strictly geometric (4D bulk, 3D boundary, 2D curvature defect), and the second is spectral, utilizing the Watson integral (Green's function) for the FCC lattice. Both converge to the identical tree-level core value of 137.036046. Instruction-Based Ontology: A complete reconceptualization of the particle zoo. The electron is defined as a minimal stable instruction loop; the photon as a direct signal propagation; quarks as confined sub-instructions; and neutrinos as transaction commit signals (interrupts). Gravity as Rewrite Latency: Gravity is demystified not as spacetime curvature, but as computational delay. Heavy instruction sets throttle the lattice update rate (Tick rate), producing time dilation and equivalent geodesic motion. The Rigidity Law and Epistemic Honesty: ORT cleanly separates the exact topological "tree-level" derivations from secondary "loop corrections" (vacancy and stall probabilities). The document includes full Python verification code. The Core Equations of ORT: The geometric impedance of the lattice yields the fine-structure constant without any experimental inputs: Geometric: α⁻¹ = π⁴ + 4π² + (π - 3) + 1/12² = 137.036 046 Spectral: α⁻¹ = k² - (k/2)√(W_FCC) - (k - 1)/k³ = 137.036 046 This Canon consolidates all previous research (Papers A through O) into a single, logically rigorous framework, starting from Cantorian absolute ontology down to observable nucleosynthesis and testable cosmological predictions. Note: Contains complete axiomatic foundation, derivation of the 3 generations of fermions, the geometric resolution of the hierarchy problem (Higgs VEV = 133 Geo-bits), and strictly defined falsification criteria.