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

Apr 9, 2012 - This of course still leaves open the question whether all this playing around will prove that the universe actually is one big cellular automaton. For example, the positive integers might describe a Conway's-Game-of-Life universe containing sentient beings (Life is Turing-complete) or some other cellular automaton. The result for elementary cellular automaton Rule 30, starting from a single black cell, is shown below transcribed in the Scriabin musical scale and using a grand piano. Feb 9, 2014 - A cellular automaton (CA) is an algorithm acting on cells in a grid at discrete time steps. The cells can be typically in two states on or off. Jul 3, 2013 - In practical terms, nature inspired to programming paradigms such as cellular automata, artificial neural networks, evolutionary algorithms, evolutionary biology, genetic programming, swarm intelligence, artificial immune systems, membrane computing and amorphous computing [14] [19]. May 1, 2008 - Let's say I have a computer program which computes a sequence of positive integers that encode the successive states of a sentient being. Energetic musings from an astrophysicist about life, the universe, and everything Cellular automaton are discrete models consisting of a regular grid of cells each with a finite number of states. With Stephen Wolfram's, since Wolfram does not intend to imply that the universe is a classical cellular automaton but rather conceives of a discrete universe based on systems performing simple rules and producing all the complex behavior we find in nature. Singapore: World Scientific Pub Co Inc. Call this sequence Sentient(n). Oct 26, 2010 - Our physical universe is discrete, finite, unbounded, deterministic and computational. Regardless, this sequence of positive integers represents the time series of a discrete universe containing conscious entities. Of contiguous black cells at a certain height and mapping it to a single note played by the same instrument. An answer is provided by Conway's Game of Life, a well known example of two-dimensional cellular automaton that became popular in the 1970's. Zuse published his book Calculating Space, proposing that the physical laws of the universe are discrete by nature, and that the entire universe is the output of a deterministic computation on a giant cellular automaton. Nov 4, 2010 - In Andrew Ilanchinski's massive tome Cellular automata: a discrete universe, Ilanchinski. With enough time, you could give a distinct WolframTones composition to every atom in the universe. Aug 7, 2006 - As a reminder, the Zuse-Fredkin Thesis is a Church-type thesis which claims additionally that the universe being a Cellular Automaton can be understood in terms of the evolution of Cellular Automata. The common aim of all these concepts is solving complex Ilachinski A (2001) Cellular Automata: A Discrete Universe.