https://doi.org/10.1140/epjp/i2012-12057-3
Regular Article
Fractal space time and variation of fine-structure constant
Department of Physics, Jadavpur University, 700032, Calcutta, India
* e-mail: pampa@phys.jdvu.ac.in
Received:
15
February
2012
Revised:
2
April
2012
Accepted:
26
April
2012
Published online:
23
May
2012
The effect of fractal space time of the quantum particles on the variation of the fine-structure constant α has been studied. The variation of the fine-structure constant has been investigated around De Broglie length λ and Compton length λ c and it has been suggested that the variation may be attributed to the dimensional transition of the particle trajectories between these two quantum domains. Considering the fractal universe with a small inhomogeneity in the mass distribution in the early universe, the variations of the fine-structure constant have been investigated between matter- and radiation-dominated era. The fine-structure constant shows critical behaviour with critical exponent which is fractional and shows a discontinuity. It has been suggested that the variation of the fine-structure constant may be attributed to the intrinsic scale dependence of the fundamental constants of nature.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2012
