Remarks about Metric Tensors on Fractal Structures

  • H. Nencka-Ficek
Part of the NATO ASI Series book series (NSSB, volume 144)


In 1978 Hawking [1] presented considerations concerning the nature of spacetime on the very short length scale (i.e. of Planck length). He was motivated by Wheeler’s [2] suggestion concerning the existence of a very large fluctuation of the metric of the space-time manifold on short length scales. The reason for this was that for example unlike to the Yang-Mills case the action for the gravitational field: is not scale invariant. While using the path integral approach considered as the best method of quantizing gauge fields [3] one realizes immediately that a large fluctuation of a metric over a short length scale is not highly damped in the path integral. In supergravity theories as well one cannot use the usual Feynman diagram expansion around flat space due to the lack of a scale invariance of space-time volume.


Supergravity Theory Planck Length Sierpinski Gasket Path Integral Approach Short Length Scale 
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Copyright information

© Plenum Press, New York 1986

Authors and Affiliations

  • H. Nencka-Ficek
    • 1
    • 2
  1. 1.BiBoS Universität BielefeldGermany
  2. 2.Institute of Molecular Physics PANPoznańPoland

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