On the arrow of spacetime

Consistent with special relativity and statistical physics, here we construct a partition function of space-time events. The union of these two theories resolves longstanding problems in regards to time. It augments the standard description of time given by the (non-relativistic) arrow of time to one able to show the emergence of three macroscopic regimes of time: the past, the present, and the future, represented by space-like entropy, light-like entropy, and time-like entropy, respectively, and in a manner consistent with our experience of said regimes. First, using Fermi-Dirac statistics, we find that the system essentially describes a "waterfall" of space-time events. This "waterfall" recedes in space-time at the speed of light towards the direction of the future as it "floods" local space with events. Furthermore, an observer O will perceive two horizons that can be interpreted as hiding events behind it. The first is an event horizon, and its entropy hides events in the regions that O cannot see. The second is a time horizon, and its entropy "shields" events from O's causal influence. As only past events are "shielded", and not future events, an asymmetry in time is thus created