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This study rigorously establishes 0.361 as the fundamental lower bound for information propagation in specific reversible cellular automata, resolving previous estimates with mathematical precision. By defining the maximal Euler speed within these minimal interacting systems, researchers provide critical insights into energy flow limits that serve as classical analogues to quantum dynamics. The work advances theoretical computer science by clarifying signal transmission constraints in grid-based computational models relevant to complex system analysis.

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Researchers Establish Speed Limit of 0.361 for Cellular Automata Waves

Quantum ZeitgeistAugust 18, 20264 min read

The maximal speed at which information travels within certain complex systems is now rigorously bounded below by the value of $\sqrt{3/23}$. This calculation confirms a previously extrapolated estimate for a specific cellular automaton, suggesting a complete understanding of its energy propagation. These findings illuminate the fundamental limits of information flow in minimal, interacting systems and offer insights into quantum analogues.

The calculated lower bound of approximately 0.361, represented by the value of √3/23, now rigorously defines the maximal Euler speed in any larger conserved sector of two reversible three-state cellular automata rules. Until now, this speed was only extrapolated; The researchers at the University of Ljubljana have confirmed it through analysis of the species-preserving and species-flipping rules. Researchers have determined a precise upper limit on how quickly information can travel within a specific type of computational system called a cellular automaton. These…

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