On conjugate complex time—I: complex time implies existence of tangential potential that can cause some equipotential effects of gravity

El Naschieʹs idea of complex time implies the possibility of spatial decomposition of rate of time flow that does not lead to the unphysical consequences for which those former attempts at multidimensional time have been criticized. The spatial decomposition of time rate suggests a spatial decomposition of energy which in turn would require presence of certain tangential component of a generalized vector potential, whether gravitational or electromagnetic. Existence of the new tangential potential could explain the observed frequency decrease of radio signals as well as the apparent anomalous radial acceleration towards the sun that was found in the case of the “runaway” spacecrafts Pioneer 10 and 11. The spatial decomposition of time rate dismisses any possibility of travel back in time and thus prohibits any acausal happenings due to reversal of time flow.