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Cellular automata. A discrete universe Andrew Ilachinski
Publisher: World Scientific Publishing Company

Oct 13, 2012 - You can regard many cellular automata as discrete approximations to particular differential equations. Then, an interesting series of deductions occurs. Here's an example of what I mean. Apr 15, 2009 - But cellular automata is all about playing God, so how about simply designing a universe that does not have this limitation? In the book you'll learn about all sorts of interesting things such as 3D glider guns in the Beehive Rule, as well the whole field of discrete dynamic networks (random Boolean/multi state network, cellular automata etc.). I think the biggest issue here is that 't Hooft (clearly a brilliant physicist) ignores Conway/Kochen, who clearly prove, given three axioms, that the universe *can't* be deterministic. The grid can be in any finite number It is usually assumed that every cell in the universe starts in the same state, except for a finite number of cells in other states, often called a configuration. It consists of a regular grid of cells, each in one of a finite number of states. A cellular automaton (plural: cellular automata) is a discrete model studied in computability theory, mathematics, theoretical biology and microstructure modeling. "There is a whole universe of complexity that is captured by discrete dynamical systems, which have been widely used as a powerful framework to understand reality from different perspectives. Apr 11, 2012 - And when they duplicate waves in a discrete system, they often think of something like a cellular automaton (CA) running a discrete approximation to the wave equation. Aug 13, 2012 - His latest version is last month's Discreteness and Determinism in Superstrings, which starts with cellular automata in 1+1 dimensions and somehow gets a quantized superstring out of it (there are also some comments about this on his web-site here). Feb 23, 2009 - Cellular automaton.