Skip to main content

The Fractal Borderland between the Deterministic Order and the Unpredictable Chaos

  • Chapter
Determinism, Holism, and Complexity
  • 174 Accesses

Abstract

Many complex systems exhibit fractal structures near the intermediate stages of phase transitions. Sometimes, these critical situations define the boundary between the deterministic order and the unpredictable chaos. According to the “Binary Theory of Everything”, this universal behaviour is due to the interaction between the catabolic-entropic decay of electromagnetic energy and the anabolic-negentropic increase of matter configuration.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Arcidiacono G., Relatività e cosmologia, Libreria Veschi, Roma 1979.

    Google Scholar 

  2. Bar P., How nature works: the science of self-organized criticality, Springer, New York 1996.

    Google Scholar 

  3. Caldirola P., Pavsic M., Recami E., Explaining the large numbers by a hierarchy of “Universes”: a Unified Theory of strong and gravitational interactions, Nuovo Cimento 48B (1978), 205–271.

    Article  Google Scholar 

  4. Damiani G., Il gioco della vita, la teoria binaria dell’Universo fisico, Editrice Italiana Audiovisivi, Roma 1984.

    Google Scholar 

  5. Damiani G., Della Franca P., Morphé and evolution, Biology Forum 90 (1997), 227–266.

    Google Scholar 

  6. Damiani G., Evolution of life in a fractal Universe in “Fractals in biology and medicine” Vol. 2, Losa G.A., Merlini D., Nonnenmacher T.F. and Weibel E.R. eds., Birkhauser-Verlag, Basel 1998, 169–187.

    Book  Google Scholar 

  7. De Sabbata V., Sivaram C., Torsion, string torsion, and topological origin of charge and mass, Found. Phys. Lett. 8 (1995), 375.

    Google Scholar 

  8. Dirac P.A.M., Cosmological models and the Large Number hypothesis,Proc. Roy. Soc. A 333 (1973), 403–418.

    Google Scholar 

  9. Eddington A.S., Fundamental Theory, Cambridge Univ. Press, Cambridge 1946.

    Google Scholar 

  10. FantappiÉ L., Opere scelte, Ed. Unione Matematica Italiana, Bologna 1973.

    Google Scholar 

  11. Harari H., A schematic model of quarks and leptons,Phys. Lett. B 86 (1979), 83–86.

    Google Scholar 

  12. Mandelbrot B., The Fractal Geometry of Nature,Freeman, New York 1982.

    Google Scholar 

  13. Mac Gregor M.H., Model basis states for photons and “empty waves”,Found. Phys. Lett. 8 (1995), 135–160.

    Google Scholar 

  14. Shupe M.A., A composite model of leptons and quarks, Phys. Lett. B 86 (1979), 87–92.

    Article  Google Scholar 

  15. Stanley H.E., Power laws and Universality,Nature 378 (1995), 554.

    Google Scholar 

  16. Tryon E.P., Is the Universe a vacuum fluctuation?,Nature 264 (1973), 395397.

    Google Scholar 

  17. Weyl H., Eine neue Erweiterung der Relativitatstheorie,Ann. der Phys. 59 (1919), 101–133.

    Google Scholar 

  18. Weyl H., Philosophy of Mathematics and Natural Sciences, Princeton University Press, Princeton 1949.

    Google Scholar 

  19. Yates F.E., Fractal applications in biology: scaling time in biochemical networks,Methods in Enzymology 210 (1992), 636–675.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2003 Springer Science+Business Media New York

About this chapter

Cite this chapter

Damiani, G. (2003). The Fractal Borderland between the Deterministic Order and the Unpredictable Chaos. In: Benci, V., Cerrai, P., Freguglia, P., Israel, G., Pellegrini, C. (eds) Determinism, Holism, and Complexity. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-4947-2_17

Download citation

  • DOI: https://doi.org/10.1007/978-1-4757-4947-2_17

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4419-3394-2

  • Online ISBN: 978-1-4757-4947-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics