A General Systems Theory for the Observed Fractal Space-Time Fluctuations in Dynamical Systems

Abstract

Recent studies of DNA sequence of letters A, C, G and T exhibit the inverse power law form frequency spectrum. Inverse power-law form of the power spectra of fractal space-time fluctuations is generic to the dynamical systems in nature and is identified as self-organized criticality. In this study it is shown that the power spectra of the frequency distributions of bases C+G in the Human chromosome X DNA exhibit self-organized criticality. DNA is a quasicrystal possessing maximum packing efficiency in a hierarchy of spirals or loops. Self-organized criticality implies that non-coding introns may not be redundant, but serve to organize the effective functioning of the coding exons in the DNA molecule as a complete unit.

arXiv comment4 pages, 2 figures

References in corpus (4)

• Stock market crashes, Precursors and Replicas
• Quantum-like Chaos in Prime Number Distribution and in Turbulent Fluid Flows
• Signatures of quantum-like chaos in spacing intervals of non-trivial Riemann zeta zeros and in turbulent fluid flows
• Signatures of Quantum-like Chaos in Dow Jones Index and Turbulent Fluid Flows