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The arrow of time, complexity and the scale free analysis

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  • Datta, Dhurjati Prasad
  • Raut, Santanu

Abstract

The origin of complex structures, randomness, and irreversibility are analyzed in the scale free SL(2,R) analysis, which is an extension of the ordinary analysis based on the recently uncovered scale free C2n-1 solutions to linear ordinary differential equations. The role of an intelligent decision making is discussed. We offer an explanation of the recently observed universal renormalization group dynamics at the edge of chaos in logistic maps. The present formalism is also applied to give a first principle explanation of 1/f noise in electrical circuits and solid state devices. Its relevance to heavy tailed (hyperbolic) distributions is pointed out.

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  • Datta, Dhurjati Prasad & Raut, Santanu, 2006. "The arrow of time, complexity and the scale free analysis," Chaos, Solitons & Fractals, Elsevier, vol. 28(3), pages 581-589.
    • Handle: RePEc:eee:chsofr:v:28:y:2006:i:3:p:581-589
    DOI: 10.1016/j.chaos.2005.07.012
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    Cited by:

    1. Datta, Dhurjati Prasad, 2021. "Asymptotic linear - nonlinear duality, indeterminism and mathematical intelligence," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).

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