The use of lattice gas (cellular automaton) models has recently been advocated as an interesting method for the simulat ion of fluid flow . Th ese automata are an idealizat ion of the real microscopic molecula r dynamics. We present a model derived from the hexagonal lat t ice gas ru les of Frisch Hasslacher and Pomea u (FHP) that incorporates buoyant forces and d iscusses its prope rt ies. We ...

We investigate dynamics of the cellular automaton Rule 142. This rule possesses additive invariant of the second order, namely it conserves the number of blocks “10”. Rule 142 can be alternatively described as an operation on a binary string in which we simultaneously flip all symbols which have dissenting right neighbors. We show that the probability of having a dissenting neighbor can be comp...

General relativity is a mathematical model that uses sophisticated geometry to describe simple physics. It agrees with experiment in the few tests that can be made, but the whole edifice is not physics. Instead of using observations to test that model, I derive a simple empirical model of elementary physics and cosmology from the observations. The observations imply that the universe is a finit...

We have implemented and investigated a spatial extension of the original ideal storage model by embedding it in a 2D cellular automaton with a diffusion-like coupling between neighboring cells. The resulting ideal storage cellular automaton model (ISCAM) generates many interesting spatio-temporal patterns, in particular spiral waves that grow and “compete” with each other. We study this dynamic...

Decoders are one of the necessary building blocks for robust local quantum memories, basic primitives that must arguably be part of any functioning topological quantum computer. While surface codes have raised the prospects for scalability and performance of quantum storage devices, the task of decoding resorts to complicated classical algorithms. Such decoding algorithms are typically designed...

We study transformations of 2-, 4and 6-bit numbers in interactions between traveling and stationary localizations in the Spiral Rule reactiondiffusion cellular automaton. The Spiral Rule automaton is a hexagonal ternary-state two-dimensional cellular automaton – a finite-state machine imitation of an activator-inhibitor reaction-diffusion system. The activator is self-inhibited in certain conce...