Quantum Lattice Simulations PHYSICS: Microcircuit Particle Formation and Observable Macroscopic Irreversible Time - A Discrete Lagrangian with Cellular Automata Framework

We develop a unified simulation framework for particle formation in quantum lattice systems using discrete Lagrangian mechanics and quantum cellular automata (QCA), to explore the particle formation and multi-scale time asymmetry, building on the author’s recent paper on early universe magneto-gravitational genesis mechanism. The model introduces a dualregime time epochs scales: microscopically reversible “microcircuits’’ dominate below a characteristic time scale, corresponding to a regime of spatial cutoff, while macroscopic “macrocircuits’’ above this scale exhibit effective irreversibility. We simulate a typical nonlinear scalar field in 1D and 2D lattices using variational integrators, Lorentzviolating spatia derivatives, and an energy-density threshold rule encoding emergent particle events. Here, entropy-based information proxy approximates local field complexity, while it effectively correlates with irreversible behavior. Results output with numerical simulations reveal the distinct temporal-spatial dynamics: appearing fields having evolution soliton-like reversible interactions at sub - scales (