Fundamental constants in singularity-free five-dimensional Kaluza-Klein cosmological model

Expressions for the time dependence of the fundamental constants are derived through dimensional reduction and one-loop quantum corrections to scalar fields. Moreover, singularity-free solutions of Einstein's field equations are obtained. Using these solutions, we discuss the time dependence of fundamental constants. It is interesting to see that the fine structure constant asymptotically approaches to 1/137,G _eff (effective four-dimensional constant) approachesG _N (Newtonian gravitational constant), and _eff vanishes. Graphical representations of these results are also given for a special case.