Maxwell-Nordstrom equations are rederived in the covariant form with respec
t to rotations in pseudo-orthogonal (4 + 1)-dimensional space, by the custo
mary procedure of contraction of the excitation tensor and of the dual of t
he field tensor. For the invariance of these equations under time reversal
T, the real fifth coordinate has to be odd with respect to the T-operation.
Consequently, a new interpretation of the fifth coordinate is discussed, i
n which exp(iwt) is replaced by a function constructed from doubly-periodic
Jacobian elliptic functions.