Ontological Resolution Theory: Canon v25.0 — The Code, the Carrier, and the Algebraic Genesis of Reality

Abstract The Ontological Resolution Theory (ORT) is a computational architecture for physical reality in which the universe is modeled as a self-rewriting code executing on a discrete carrier. Canon v25.0 introduces a fundamental extension: the algebraic genesis of the fine-structure constant from the quadratic field ℚ(√5). The golden ratio φ = (1 + √5)/2 is shown to be a projection of a hidden pre-geometric source σ₅ = √5. The Golden Impedance Polynomial Zφ, constructed entirely from powers of φ and the lattice coordination number k = 12, reduces exactly to: Zφ = 6092689/90000 + (19383/625)√5 = 137.043273... This algebraic source sector maps to physical reality through a validation map VLFCC, yielding the observed fine-structure impedance: α⁻¹ = π⁴ + 4π² + (π − 3) + 1/144 = 137.036046 The Canon establishes three independent derivations of α⁻¹: Geometric Sectors: Decomposition into 4D bulk (π⁴), 3D boundary (4π²), 2D defect (π − 3), and 0D vertex (1/144) terms. Watson–Impedance Bridge: Spectral analysis via the FCC lattice Green's function, giving α⁻¹ = k² − (k/2)√WFCC − (k−1)/k³ = 137.036063. Algebraic Genesis: Derivation from the quadratic field ℚ(√5) through Fibonacci reduction of φ-powers. All three paths converge to the same value with zero free parameters. The joint probability of this structure arising by chance is estimated at P ≈ 3 × 10⁻¹⁵. The Canon further develops: Particle ontology: Particles as self-reproducing local rewrite cycles, not primitive objects. Quantum mechanics: The wave function as an epistemic mask; collapse as validation; entanglement as shared code identity. Gravity: Emergent from computational load (rewrite latency) on the carrier. Cosmology: Dark matter as inactive cell impedance; dark energy as carrier activation overhead. Stellar physics: Stars as self-sustaining rewrite reactors; fusion as topological validation. Testable predictions include: a scalar boson at 336 ± 40 GeV (HL-LHC), lightest neutrino mass ~8.9 meV (KATRIN), α-drift < 10⁻¹⁸ yr⁻¹ (optical clocks), and no fourth fermion generation. Falsification criteria are explicitly stated: discovery of a 4th generation, violation of the equivalence principle, detection of dark matter as a conventional particle, or failure to find a scalar in the predicted mass window by 2035 would decisively refute the theory. The universe compiles.