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Is the Future Given? Changes in Our Description of Nature

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Part of the book series:Fundamental Theories of Physics ((FTPH,volume 149))

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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.

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References

  1. I. PrigogineNon-Equilibrium Statistical Mechanics, Wiley, New York (1962).

    MATH  Google Scholar 

  2. I. PrigogineFrom Being to Becoming, Freeman, New York (1980).

    Google Scholar 

  3. T. Petrosky, I. Prigogine and S. Tasaki, “Quantum theory of nonintegrable systems”,Physica A173, 175–242 (1991).

    Article ADS MathSciNet  Google Scholar 

  4. I. Antoniou and S. Tasaki, “Generalized spectral decomposition of mixing dynamical systems”,Int. J. Quantum Chem.46, 425–474 (1993).

    Article  Google Scholar 

  5. I. Antoniou and I. Prigogine, “Intrinsic irreversibility and integrability of dynamics”,Physica A192, 443–464 (1993).

    Article ADS MathSciNet  Google Scholar 

  6. T. Petrosky and I. Prigogine, “Poincare resonances and the extension of classical dynamics”,Chaos, Solitons and Fractals7, 441–497 (1996).

    Article MATH MathSciNet ADS  Google Scholar 

  7. T. Petrosky and I. Prigogine, “The Liouville space extension of quantum mechanics”,Adv. Chem. Phys.99, 1–120, ed. I. Prigogine and S. Rice, Wiley (1997).

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  8. G. Ordonez, T. Petrosky and I. Prigogine, “Space-time formulation of quantum transitions”,Phys. Rev. A63, 052106 (2001).

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  9. T. Petrosky, G. Ordonez and I. Prigogine, “Space-time formulation of quantum transitions”,Phys. Rev. A64, 062101 (2001).

    Article ADS MathSciNet  Google Scholar 

  10. E. Karpov, G. Ordonez, T. Petrosky and I. Prigogine, “Quantum transitions in interacting fields”,Phys. Rev. A66, 012109 (2002).

    Article ADS  Google Scholar 

  11. I. Prigogine, S. Kim, G. Ordonez and T. Petrosky,Stochasticity and time symmetry breaking in Hamiltonian dynamics, submitted to Proc. Solvay conference in Delphi, Greece (2001).

    Google Scholar 

  12. G. Ordonez, T. Petrosky and I. Prigogine,Microscopic entropy flow and entropy production in resonance scattering, submitted to Proc. Solvay conference in Delphi, Greece (2001).

    Google Scholar 

  13. E. Karpov, G. Ordonez, T. Petrosky and I. Prigogine,Microscopic Entropy and Nonlocality, Proc. Workshop on Quantum Physics and Communication (QPC 2002) Dubna, Russia (2002), Particles and Nuclei, Letters. No. 1 [116], 8–15 (2003).

    Google Scholar 

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Authors and Affiliations

  1. Campus Plaine ULB, B-1050, Bruxelles, Belgium

    Ilya Prigogine

Authors
  1. Ilya Prigogine

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Editors and Affiliations

  1. International Institute for Applicable Mathematics & Information Science, B.M. Birla Science Centre, Adarshnagar, Hyderabad, India

    B. G. Sidharth

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Prigogine, I. (2008). Is the Future Given? Changes in Our Description of Nature. In: Sidharth, B.G. (eds) A Century of Ideas. Fundamental Theories of Physics, vol 149. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-4360-4_7

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Chapter
JPY 3498
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  • Available as PDF
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  • Instant download
  • Own it forever
eBook
JPY 17159
Price includes VAT (Japan)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
JPY 21449
Price includes VAT (Japan)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide -see info
Hardcover Book
JPY 21449
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  • Dispatched in 3 to 5 business days
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Tax calculation will be finalised at checkout

Purchases are for personal use only


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