Information Processing by Scalar Fields of Numerical Relativity: A Spin 0 and SU(2) Gauge Theory of Quantum Gravity and Beyond

We recast quantum mechanics as a two-layer information processing system: the Fock layer (unitary evolution of a Hilbert-space vector on a pre-geometric flat lattice) is the computational engine, and the Born layer (probability, measurement, collapse) is the rendering interface that projects the engine's state into the classical world. Spacetime geometry belongs to the Born layer---it is a rendered output, never part of the computational substrate. The Wilson renormalization group generates all current-current quartic interactions from the scalar field on the lattice; the Hubbard--Stratonovich transformation decouples each quartic, introducing auxiliary fields (the spacetime metric, the gauge bosons, the Higgs) whose physical content is the composite correlator of the fundamental scalar; a certification condition selects the channels that survive as particles. The Wilson renormalization group simultaneously provides an extra spatial dimension, yielding a clutch-free holographic duality that requires no conformal field theory, no supersymmetry, no large-N limit, and no fundamental strings. Within this framework we derive, from a single toy model of massive scalars with SU(2) gauge symmetry on the lattice: the Einstein--Hilbert action and the dark energy equation of state from the heat kernel; the Bekenstein--Hawking entropy, the four laws of black hole thermodynamics, the Hawking radiation, the Ryu--Takayanagi formula, and further results from partial access entropy; the emergent gauge bosons (with masslessness protected by the Ward identity), the emergent fermions (as skyrmions, with spin one-half from topology and three spatial dimensions selected by the homotopy group), the Higgs (as a pseudo-Nambu--Goldstone boson, dissolving the hierarchy problem), and the fermion mass hierarchy (from warp-factor geometry in the extra dimension). The Standard Model miracles (anomaly cancellation, charge quantization, three generations) are certification conditions, and the remaining scalar degrees of freedom are identified as dark matter. The model is a numerical-theoretical oneness---the lattice Gibbs sampler, with both steps exactly Gaussian, IS the quantum theory---and the central insight is that the exact theory (a Gaussian on a flat lattice) is simpler than its leading-order approximation (the Einstein equations with diffeomorphism invariance), whose singularities, conformal instabilities, and non-renormalizability are artifacts of the approximation, not of the physics. Quantization is simplification.