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New results in relativistic information theory. Application to deterministic, stochastic and biological systems†

 

作者: GUY JUMARIE,  

 

期刊: International Journal of Systems Science  (Taylor Available online 1976)
卷期: Volume 7, issue 4  

页码: 393-414

 

ISSN:0020-7721

 

年代: 1976

 

DOI:10.1080/00207727608941925

 

出版商: Taylor & Francis Group

 

数据来源: Taylor

 

摘要:

This paper deals with the approach to general systems via information which has been initiated by the author, and tests the theory against the reality. After a brief background on the relativisticinternalandexternal entropyand their Lorentz transformation, it is shown that deterministic dynamic systems can be described by our thermodynamics information model. Thenrelativisticinformation is defined and some consequences arc examined. One shows that, as expected, these equations yield Shannon results when the organizability of the considered system is small. This relativistic information is applied to stochastic systems : we find again.Jaynes' principle and the Folker-Plank-Kolmogorov equation, but in addition we obtain an approach to random stochastic filtering based on the maximization of the relativistic information. Then we attempt to apply these ideas to biological systems and we exhibit the differences that exist between our approach and that of Rosen's in quantum genetics. To conclude, we examine the question of structural stability and morphogenesis.

 

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