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A Century of IdeasIs the Future Given? Changes in Our Description of Nature

A Century of Ideas: Is the Future Given? Changes in Our Description of Nature [According to the classical point of view, nature would be an automaton. However, today we discover everywhere instabilities, bifurcations, evolution. This demands a different formulation of the laws of nature to include probability and time symmetry breaking. We have shown that the difficulties in the classical formulation come from too narrow a point of view concerning the fundamental laws of dynamics (classical or quantum). The classical model has been a model of integrable systems (in the sense of Poincare). It is this model, which leads to determinism and time reversibility. We have shown that when we leave this model and consider a class of non-integrable systems, the difficulties are overcome. We show that our approach unifies dynamics, thermodynamics and probability theory.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

A Century of IdeasIs the Future Given? Changes in Our Description of Nature

Part of the Fundamental Theories of Physics Book Series (volume 149)
Editors: Sidharth, B. G.
Prigogine, Ilya
A Century of Ideas — Jan 1, 2008
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References (13)

Publisher
Springer Netherlands
Copyright
© Springer Netherlands 2008
ISBN
978-1-4020-4359-8
Pages
65 –75
DOI
10.1007/978-1-4020-4360-4_7
Publisher site
See Chapter on Publisher Site

Abstract

[According to the classical point of view, nature would be an automaton. However, today we discover everywhere instabilities, bifurcations, evolution. This demands a different formulation of the laws of nature to include probability and time symmetry breaking. We have shown that the difficulties in the classical formulation come from too narrow a point of view concerning the fundamental laws of dynamics (classical or quantum). The classical model has been a model of integrable systems (in the sense of Poincare). It is this model, which leads to determinism and time reversibility. We have shown that when we leave this model and consider a class of non-integrable systems, the difficulties are overcome. We show that our approach unifies dynamics, thermodynamics and probability theory.]

Published: Jan 1, 2008

Keywords: Integrable System; Entropy Production; Action Variable; Unitary Transformation; Langevin Equation

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