Information-Copying Cosmology X: Quantum Defect Fields and Emergent Gauge Theories

We derive quantum gauge fields and their dynamics from stochastic copying processes on a simplicial complex within the Information-Copying Cosmology (ICC) framework.Starting from the Langevin dynamics of edge defects, we construct the Martin–Siggia–Rose (MSR)path integral and show that, under a fluctuation–dissipation relation, the response field identifieswith the canonical momentum, reproducing the phase-space path integral of Yang–Mills theory.Gauge fixing and Faddeev–Popov ghosts emerge naturally from the Jacobian of the non-commutativecopying transformation. The effective Planck constant ℏeff arises from the discrete copying scale.Using simplicial cohomology, we show that defects supported on p-simplices generate gauge algebras u(1), su(2), and su(3) for p = 1,2,3, respectively. Renormalization group flow suppressescross-couplings, yielding an infrared product structure U(1) × SU(2) × SU(3).The one-loop Yang–Mills β-function is recovered from stochastic coarse-graining. This establishesa microscopic origin of quantum gauge theory from information dynamics