2002•Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fieldsOpen access

Fractal extra dimension in Kaluza-Klein theory

Igor I. Smolyaninov

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Abstract

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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Key concepts: Kaluza–Klein theory, Aperiodic graph, Fractal, Fractal dimension, Theoretical physics, Physics, Planck mass, Planck