DDIC: Toward a Unified Field Theory

This document extends the Density-Driven Internal Contraction (DDIC) framework, established for gravity, black hole interiors, and quantum measurement in three companion papers, to the weak and strong nuclear interactions, using standard techniques from lattice gauge theory. A single connectivity variable, Λ_ij, is extended to carry U(1), SU(2), and SU(3) gauge structure; the plaquette actions reduce in the continuum limit to the Maxwell and Yang–Mills actions, and confinement follows in the strong-coupling regime. The Maxwell, Yang–Mills, Einstein (in DDIC's modified form), Dirac, and Schrödinger equations are obtained from this lattice structure, and a single, symbolically verified kinetic term generates the electroweak and strong matter couplings from one object, Λ_ij = R e^(iθ) H^a C^α. The gauge group, including its ℤ₆ global structure, is the automorphism group of the cell's internal space ℂ² ⊗ ℂ³, and this structure together with anomaly cancellation fixes every hypercharge and the e/3 charge quantization; the gauge couplings remain inputs. A lattice twist sector on the links connects the electroweak scale to the Planck scale quantitatively, conditional on two numbers that are not yet derived, the twist coupling and a small kinetic mixing with hypercharge; with a vanishing Higgs quartic coupling at the cutoff, the Higgs mass follows the Standard Model value, M_h ≈ 129 GeV. At the renormalizable level the neutrinos are Dirac. Within a mass-matrix ansatz, the CKM mixing angles are reproduced from N_c = 3, with the CP-violating phase as input. A parity argument rules out a bare gauge-sector contribution to the strong CP problem, which remains open once the fermion sector is included. Monte Carlo methods are applied to the cosmological constant, gauge coupling non-unification, and graviton unitarity; for the first, a self-consistent suppression of the zero-point sum removes its sensitivity to the cutoff and reduces the vacuum energy to a single threshold density, which is not yet derived. Two falsifiable predictions are collected, one of them within reach of current experiments. Exact gauge coupling unification, the absolute values of the fundamental couplings, and a unified quantum theory of gravity remain open. This work reports specific, verified partial results toward unification, not a completed Theory of Everything.