The Universe as Automaton: From Simplicity and Symmetry to ComplexitySpringer Science & Business Media, 01.10.2011 - 108 Seiten This Brief is an essay at the interface of philosophy and complexity research, trying to inspire the reader with new ideas and new conceptual developments of cellular automata. Going beyond the numerical experiments of Steven Wolfram, it is argued that cellular automata must be considered complex dynamical systems in their own right, requiring appropriate analytical models in order to find precise answers and predictions in the universe of cellular automata. Indeed, eventually we have to ask whether cellular automata can be considered models of the real world and, conversely, whether there are limits to our modern approach of attributing the world, and the universe for that matter, essentially a digital reality. |
Inhalt
| 1 | |
2 Simplicity in the Universe of Cellular Automata | 17 |
3 Complexity in the Universe of Cellular Automata | 25 |
4 Symmetry in the Universe of Cellular Automata | 31 |
5 Attractors in the Universe of Cellular Automata | 45 |
6 Time in the Universe of Cellular Automata | 67 |
7 Matter in the Universe of Cellular Automata | 75 |
8 Life and Brain in the Universe of Cellular Automata | 87 |
Is the Universe a Computer? | 105 |
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The Universe as Automaton: From Simplicity and Symmetry to Complexity Klaus Mainzer,Leon Chua Keine Leseprobe verfügbar - 2011 |
Häufige Begriffe und Wortgruppen
algorithm attractor K(N basin of attraction basin tree behavior Bernoulli shift bilateral twin binary bit string blue Boolean cube cell characteristic function Church–Turing thesis circuits classical color complexity index concept corresponding ð Þ defined Difference Equation differential equation digital physics dynamical system equivalence classes evolution example Firing Patterns garden of Eden gene global equivalence classes graph initial input interactions invariant invertible iteration L.O. Chua left–right transformation Leibniz Lyapunov exponent Mainzer mathematical memristor models neighbors neurons nonlinear dynamics orbit output pattern formation period-3 attractor period-3 isle plane Poincaré predicted proteins q1N½ quantum cellular automata quantum physics qubit random red pixels red vertices return map reversal rotation rule 62 simulated SpringerBriefs in Complexity symmetry transformations systems biology time-1 maps time-reversible attractor toy world transient regime truth table uiÀ1 uiþ1 universal computation universal Turing machine Universe as Automaton universe of cellular vertex Vierergruppe Wolfram Zuse