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Laws of nature, probability and time symmetry breaking

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  • Prigogine, I.

Abstract

The work of the Austin-Brussels group on the microscopic origin of irreversibility is described. Using extensions of the traditional Hilbert space and Poincaré's nonintegrability, we obtain new formulations of laws of dynamics which can be expressed only in terms of probabilities (and not in terms of trajectories or wave functions) and which include time symmetry breaking.

Suggested Citation

  • Prigogine, I., 1999. "Laws of nature, probability and time symmetry breaking," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 263(1), pages 528-539.
    • Handle: RePEc:eee:phsmap:v:263:y:1999:i:1:p:528-539
    DOI: 10.1016/S0378-4371(98)00527-5
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    Cited by:

    1. Gorban, Alexander, 2007. "Order–disorder separation: Geometric revision," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 374(1), pages 85-102.
    2. Brizhik, Larissa & Del Giudice, Emilio & Jørgensen, Sven E. & Marchettini, Nadia & Tiezzi, Enzo, 2009. "The role of electromagnetic potentials in the evolutionary dynamics of ecosystems," Ecological Modelling, Elsevier, vol. 220(16), pages 1865-1869.
    3. Lebed, Igor V., 2019. "The cause for emergence of irreversibility," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 524(C), pages 325-341.
    4. Alvarez-Ramirez, J. & Echeverria, J.C. & Meraz, M. & Rodriguez, E., 2017. "Asymmetric acceleration/deceleration dynamics in heart rate variability," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 479(C), pages 213-224.
    5. Jiang, Chenguang & Shang, Pengjian & Shi, Wenbin, 2016. "Multiscale multifractal time irreversibility analysis of stock markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 462(C), pages 492-507.
    6. Yin, Yi & Shang, Pengjian & Xia, Jianan, 2015. "Compositional segmentation of time series in the financial markets," Applied Mathematics and Computation, Elsevier, vol. 268(C), pages 399-412.

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