Fractal extra dimension in Kaluza-Klein theory

@article{Smolyaninov2001FractalED,
  title={Fractal extra dimension in Kaluza-Klein theory},
  author={Igor I. Smolyaninov},
  journal={Physical Review D},
  year={2001},
  volume={65},
  pages={047503}
}
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. 
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13 Citations
Background Citations
3
Methods Citations
1

13 Citations

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We demonstrate that optical space in metamaterials may be engineered to mimic physics in a five-dimensional (5D) spacetime. Two metamaterial-based models of 5D spacetimes have been considered. The…

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