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by K Svozil

Download Randomness And Undecidability In Physics fb2, epub

ISBN: 981020809X
Author: K Svozil
Language: English
Publisher: Wspc; Presumed First edition (October 5, 1993)
Pages: 308
Category: Physics
Subcategory: Science
Rating: 4.6
Votes: 725
Size Fb2: 1679 kb
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Book Condition: Ex-Library book with expected library markings. Dust jacket in mylar sleeve and taped to covers.

Book Condition: Ex-Library book with expected library markings. ex-library copy Ships Fast! In Stock.

Recent findings in the computer sciences, discrete mathematics, formal logics and metamathematics have opened up a royal road for the investigation of undecidability and randomness in physics

Recent findings in the computer sciences, discrete mathematics, formal logics and metamathematics have opened up a royal road for the investigation of undecidability and randomness in physics. A translation of these formal concepts yields a fresh look into diverse features of physical modelling such as quantum complementarity and the measurement problem, but also stipulates questions related to the necessity of the assumption of continua. Conversely, any computer may be perceived as a physical system: not only in the immediate sense of the physical properties of its hardware

Randomness and Undecidability in Physics. Recent findings in the computer sciences, discrete mathematics, formal logics and metamathematics have opened up a royal road for the investigation of undecidability and randomness in physics.

Randomness and Undecidability in Physics. Quantum field theory on fractal spacetime: a new regularisation method. Journal of Physics A: Mathematical and General 20 (12), 3861, 1987. World Scientific, 1993. Measuring the dimension of space-time. A Zeilinger, K Svozil. Fractal analysis: an objective method for identifying atypical nuclei in dysplastic lesions of the cervix uteri. R Sedivy, C Windischberger, K Svozil, E Moser, G Breitenecker. Gynecologic Oncology 75 (1), 78-83, 1999. Quantum randomness and value indefiniteness.

Submit a book or article. Set Theory and Physics. K. Svozil - 1995 - Foundations of Physics 25 (11):1541-1560. In physics it corresponds to Newton 's separation of universal laws of nature and contingent initial conditions Both descriptions have a non-Boolean structure and can be encompassed into a single non-Boolean description. Tensed and tenseless time can be synchronized by holistic correlations. Inasmuch as physical theories are formalizable, set theory provides a framework for theoretical physics.

Randomness and Undecidability in Physics, World Scientific, Singapore, 1993, xvi+292 pages. BNF: cb13594899c (data).

Svozil, . Randomness and undecidability in Physics. World Sc. Singapore (1993)Google Scholar. Longo G. (2010) Incomputability in Physics. In: Ferreira . Löwe . Mayordomo . Mendes Gomes L. (eds) Programs, Proofs, Processes. Computing Machines and Intelligence. Mind LIX(236), 433–460 (1950)ogle Scholar. The Chemical Basis of Morphogenesis. Lecture Notes in Computer Science, vol 6158. Springer, Berlin, Heidelberg. Publisher Name Springer, Berlin, Heidelberg.

With correct knowledge and ample experience, this question becomes very easy to solve.

The book is divided into five parts. Part I provides a general introduction. We first state a few previously obtained results that lead to general undecidability and incompleteness theorems in axiomatized theories that range from the theory of finite sets to classical elementary analysis

The book is divided into five parts. We first state a few previously obtained results that lead to general undecidability and incompleteness theorems in axiomatized theories that range from the theory of finite sets to classical elementary analysis. Out of those results we prove several incompleteness theorems for axiomatic versions of the theory of noncooperative games with Nash equilibria; in particular, we show the existence of finite games whose equilibria cannot be proven to be computable.

Recent findings in the computer sciences, discrete mathematics, formal logics and metamathematics have opened up a royal road for the investigation of undecidability and randomness in physics. A translation of these formal concepts yields a fresh look into diverse features of physical modelling such as quantum complementarity and the measurement problem, but also stipulates questions related to the necessity of the assumption of continua.Conversely, any computer may be perceived as a physical system: not only in the immediate sense of the physical properties of its hardware. Computers are a medium to virtual realities. The foreseeable importance of such virtual realities stimulates the investigation of an “inner description”, a “virtual physics” of these universes of computation. Indeed, one may consider our own universe as just one particular realisation of an enormous number of virtual realities, most of them awaiting discovery.One motive of this book is the recognition that what is often referred to as “randomness” in physics might actually be a signature of undecidability for systems whose evolution is computable on a step-by-step basis. To give a flavour of the type of questions envisaged: Consider an arbitrary algorithmic system which is computable on a step-by-step basis. Then it is in general impossible to specify a second algorithmic procedure, including itself, which, by experimental input-output analysis, is capable of finding the deterministic law of the first system. But even if such a law is specified beforehand, it is in general impossible to predict the system behaviour in the “distant future”. In other words: no “speedup” or “computational shortcut” is available. In this approach, classical paradoxes can be formally translated into no-go theorems concerning intrinsic physical perception.It is suggested that complementarity can be modelled by experiments on finite automata, where measurements of one observable of the automaton destroys the possibility to measure another observable of the same automaton and it vice versa.Besides undecidability, a great part of the book is dedicated to a formal definition of randomness and entropy measures based on algorithmic information theory.

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