A falsifiable and testable mathematical theory of physical reality, with code, novel predictions and immediate applications

Starting from the minimal distinction/resolution — formalized using the functor F(X) = 2 × X—we define the universal object (representing the entire history and state space of the universe) as the minimal fixed point of a self-referential operator Ψ that filters and minimizes coordinate resolution. This universal object is then constructed inductively, yielding a concrete, deterministic computable algorithm for the physical universe . The theory derives $(3+1)$ spacetime, the Standard Model gauge groups, and three fermion generations. Some notable predictions of the thoery include the exact values for the strong coupling (αₛ(MZ) ≈ 0.1181), the weak mixing angle (sin²θW ≈ 0.2314), the Cabibbo angle (θC ≈ 13.02^∘), and the proton-to-electron mass ratio (mₚ/mₑ ≈ 1836.153). It predicts sterile dark matter at ≈ 29.59 keV, the Higgs boson mass at ≈ 125.12 GeV (relative to the top quark mass), the Koide lepton relation ($Q=2/3$), the Planck mass (Mₚₗ ≈ 1.22 × 10¹⁹ GeV), the baryon asymmetry ratio (η ≈ 6.11 × 10⁻¹⁰), the dark energy density (Λ ≈ 10⁻¹²²), and a Hubble constant of H₀ ≈ 72.71 km/s/Mpc (resolving the Hubble tension). The theory trivially predicts a maximum shared state of 127 , implying that Quantum Computing cannot establish full entanglement of more than exactly 127 (logical) qubits.It derives the 'tree-level' fine-structure constant (α⁻¹ₜᵣₑₑ = 137) and bounds its low-energy physical coupling constant; fine structure constant within the interval $[137.025, 137.318]$.