Across diverse complex systems, localized coherent structures exert disproportionate influence within dissipative environments. We introduce the Δ±1 framework as a minimal descriptor and explore whether it reflects a cross-domain structural regularity or domain-specific convergence.
TL;DR: Add one frozen cell to a cellular automaton and watch the entire pattern reshape itself. This post explores what happens when you introduce a single barrier into elementary CAs — and why it matters for both theory and real-world modeling. What happens when a single cell in a cellular automaton refuses to change? In elementary cellular automata (ECAs), every cell updates each generation bas…
Physicists have traditionally simplified systems as much as possible, in order to shed light on fundamental properties. But small, simple parts build up into large, complex wholes. Are there new rules and laws of nature that apply specifically to the realm of complexity? This has been a popular question for a few decades now, and we have some answers but not as many as we would like. Neil Johnson…
