Fractal extra dimension in Kaluza-Klein theory

  title={Fractal extra dimension in Kaluza-Klein theory},
  author={Igor I. Smolyaninov},
  journal={Physical Review D},
Kaluza-Klein theory in which the geometry of an additional dimension is fractal is considered. In such a theory the mass of an elementary electric charge appears to be many orders of magnitude smaller than the Planck mass, and the ``tower'' of masses which correspond to higher integer charges becomes aperiodic. 

Metamaterial model of fractal time

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This is the most extraordinarily beautiful book in thought and in form that I have read for many years, and that is all the more peculiar for its being a somewhat technically mathematical treatise.


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  • 1926