Fractal space time and variation of fine-structure constant
Department of Physics, Jadavpur University, 700032, Calcutta, India
* e-mail: firstname.lastname@example.org
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