Emergent ΛCDM from Stochastic Lattice Dynamics: An Interacting Copying Cosmology Framework

We propose a cosmological framework in which spacetime emerges from a stochastic copyingprocess defined on a dynamical lattice. In this Interacting Copying Cosmology (ICC), theexpansion rate is governed by local coherence properties rather than a fundamental cosmologicalconstant. We show that the model naturally reproduces ΛCDM-like behavior at low redshiftwhile predicting a systematic suppression of the expansion rate at intermediate redshifts (10 −20% at z ≈0.8).The ICC model introduces a single physical parameter δ (coherence sensitivity), constrainedto 0.6±0.2 from combined DESI BAO, cosmic chronometers, and Pantheon+ SNe Ia data. Themodel predicts a new phenomenon: the dependence of gravitational lensing on the sign of thelocal energy flow, quantified by ∆κ = 0.047±0.005 at fixed density.Despite significant deviations in H(z), the model remains consistent with current observational constraints, with ∆χ2 ≈ 2 relative to ΛCDM. This demonstrates that ΛCDM is notuniquely selected by present data and may arise as an effective limit of a more fundamentaldynamical process. Testable predictions for DESI, Euclid, and the Roman Space Telescope areprovided.