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Finite-State Classical Mechanics
Norman Margolus
Reversible lattice dynamics embody basic features of physics that govern the time evolution of classical information. They have finite resolution in space and time, don't allow inf…
The ideal energy of classical lattice dynamics
Norman Margolus
We define, as local quantities, the least energy and momentum allowed by quantum mechanics and special relativity for physical realizations of some classical lattice dynamics. Thes…
Universal Cellular Automata Based on the Collisions of Soft Spheres
Norman Margolus
Fredkin's Billiard Ball Model (BBM) is a continuous classical mechanical model of computation based on the elastic collisions of identical finite-diameter hard spheres. When the BB…
Dimension-splitting for simplifying diffusion in lattice-gas models
Raissa M. D'Souza, Norman H. Margolus, Mark A. Smith
We introduce a simplified technique for incorporating diffusive phenomena into lattice-gas molecular dynamics models. In this method, spatial interactions take place one dimension…