Abstract
This essay is the result of six years of reflection on time. I believe the fundamental nature of time is one change which distinguishes a before and after. In general I believe time is fully derived from combinatorics. The arrow of time is the result of entropy that is derived from microstates, macrostates and multiplicities. For time in quantum mechanics, I believe fundamental objects with no internal structure must experience change through interactions. The best mathematics for this approach is the derangement. I have focused only on wavefunctions and the measurement problem. I show that derangements produce the linear time evolution of wavefunctions and provide a mechanism for collapse. Sections I-IV will be a review for experts but I consider the ideas essential for a complete understanding of time.
Brian Beverly