Abstract :
The concept of pencil-generated temporal dimensions, originally introduced in a projective plane over a set of real numbers, is extended to planes over arbitrary ground fields not of characteristic two. If is found that if the ground field is algebraically closed, every temporal dimension is devoid of any notion of the future. We further learn that the question of the existence of (any of the) three temporal domains—the past, present and future—is completely meaningless unless we a priori specify the character of the ground field; which, for example, is that the future event of reals might well be found to belong to the domain of the past after switching to some other field(s), such as F7— the (finite) field of residues modulo 7. We speculate on the possibility that these findings may provide an interesting insight into a number of puzzling phenomena related to ‘mundane’ time like clairvoyance, precognition, déjà-vu experiences, etc., once we adopt the hypothesis that our (sub)conscious is capable of operating at various levels corresponding to different ground fields.
