In the realm of mathematics, "instantaneous events" refer not to events that occur in an incredibly short amount of time, but to events that occur at an exact point within a defined vector space, including the space-time continuum. The duration of these events--that is, the time that elapses between the start of the event and the end of the event is not only infinitesimally small, it is zero. Instantaneous events capture a single, exact point in time. A good, but not perfect, analogy is a still picture produced by a camera. The picture captures a particular scene or object, or particular expression, at a single moment in time for later viewing. The conditions under which the photograph was taken can likely be reproduced with similar results--that is, results so similar to the original that differences are entirely negligible--but the event itself cannot be exactly reproduced.

Instantaneous...