DIRAC EQUATION IN A 5-DIMENSIONAL KALUZA-KLEIN THEORY

Dirac equation is discussed in 5-dimensional space time having topology M-4 x T-1, where M-4 and T-1 both are curved. It is shown that 4-dimensional fermion can be obtained from 5-dimensional fermion, as a result of compactification of extra dimension. It is found that the realistic 4-dimensional fermions are possible in higher modes earlier than those in lower modes during the course of expansion of 4-dimensional universe. 4-dimensional Dirac equation, obtained from 5-dimensional Dirac equation after compactification, is solved for an arbitrary mode for superheavy as well as light (realistic) fermions. Time-dependence of polarization vector and magnetization density, as a result of Gordon-decomposition of the current vector for 4-dimensional spin-1/2 field (with arbitrary mode), is exhibited.