MaCE makes arbitrary cellular automata exactly mass-conserving through a local softmax redistribution of mass, with continuous limit ∂tρ = Δρ - 2β∇·(ρ∇A), and yields abundant solitons and gliders in Lenia, NCA, and discrete CA experiments.
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MaCE: General Mass Conserving Dynamics for Cellular Automata
MaCE makes arbitrary cellular automata exactly mass-conserving through a local softmax redistribution of mass, with continuous limit ∂tρ = Δρ - 2β∇·(ρ∇A), and yields abundant solitons and gliders in Lenia, NCA, and discrete CA experiments.