Information-Copying Cosmology IV: Emergent ΛCDM from Stochastic Lattice Dynamics

We present a three-dimensional stochastic lattice implementation of the Information-CopyingCosmology (icc) framework, in which the cosmic energy fractions ΩDE ≈ 0.68, ΩDM ≈ 0.27,Ωb ≈ 0.05 emerge naturally from discrete defect dynamics without fine-tuning or posthoc calibration. The model combines: (i) defect detection via local field fluctuations, (ii)percentile-based baryon selection among extreme peaks, (iii) void-based anti-gravity generating dark energy proportional to empty volume, and (iv) nonlinear gravitational enhancementproducing a realistic matter power spectrum. After equilibration, the lattice produces energy fractions with an average deviation of 1.8% from Planck 2018 ΛCDMvalues, whilesimultaneously generating a power spectrum with turnover at k ≈ 0.13M. Robustness testsacross independent random seeds (σ(Ω) < 0.0005), ±10% parameter variations (max deviation 9.2%), and lattice scaling (L = 64 → 128, ∆Ω < 0.003) confirm that ΛCDMfractionsrepresent a stable dynamical attractor rather than a fine-tuned point. This demonstratesthat the observed cosmic composition can arise as an emergent property of simple discretemicrophysics, offering a computationally tractable pathway for testing emergent cosmologyagainst large-scale structure data.