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Randomness and Undecidability in Physics

Name: Randomness and Undecidability in Physics
Brand: World Scientific Publishing Co Pte Ltd
SKU: 05064003
Price: 126.07 EUR
Availability: InStock
Author: K. Slovil
ISBN: 9789810208097

K. Slovil

Jazyk

Angličtina

Kniha Pevná

Libristo kód: 05064003

Nakladateľstvo World Scientific Publishing Co Pte Ltd, február 1992

Algorithmic physics is the field in which physical systems are identified with computation processes... Celý popis

Libristo kód: 05064003

306 b

126.07 €

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Algorithmic physics is the field in which physical systems are identified with computation processes. This book contains a brief outline of algorithmic physics, in particular of algorithmics, automata theory coding and information theory, as well as algorithmic information theory. The author relates physical entities to concepts in computer science, logic and mathematics, and introduces the concept of a theoretical model "from within" an artificial computer world and "from the outside". Chaos is characterized by both algorithmic undecidability and randomness. Godel incompleteness is translated into physical undecidability and unpredictability. It is shown that the behaviour of deterministic processes is generally impossible to predict even if their evolution law and initial states are exactly known. Several mathematical concepts of randomness are discussed with respect to their applicability for a characterization of chaotic, physical motion.