Abstract
I discuss Gödel's cosmological proposals that seemingly allow time-loops and time-travel, and particularly Gödel's thesis that the objectivity of time-lapse is not guaranteed a priory but depends on the physical conditions in a cosmos. We could not 'define' a uniform world time-line regarding the mean state of motion of matter but some relative and partial time lapses which would appear as simultaneous for other observers. I believe that consciousness may posses many time-modalities, and the 'annihilation' of lapse of time is one of them. It could be that already the momentary recollection of the past events in our mind might indicate such a possibility. However it is an open question what this possibility means for the physical reality, or for the 'cosmos itself'?