I've been thinking a lot about the possibility of a topography of time. How could one map the various gradients caused by massive bodies and acceleration? (The time dilation effect.) Going from macroscopic to microscopic, what would time look like at the smallest of scales, i.e., Planck time and Planck space? Is time's uni-directional quality preserved at these scales?
How does one account for apparent synchronicity (action at a distance) in experiments with entangled photon pairs? These seem to imply a communication of state that violates the universal speed limit of C.
Was time created as the result of an instability that existed prior to the Big Bang?
If time had a beginning, does it also have an end?
Since our awareness of time depends on memory, no discussion of time's topography would be complete without taking into account this fundamental element of mind. As a neighbor of mine once remarked, "The years fly, and a minute drags." An excellent book that deals with this is Proust's Remembrance of Time Past.
In addition to Proust's literary exploration of time and memory, it might also be interesting to have an overview of the current neurological models of human memory and theories regarding human awareness of time.
