The Order-Theoretic Origin of Special Relativity

In this paper, we present a novel derivation of special relativity and the information physics of events. We postulate that events are fundamental, and that some events have the potential to be influenced by other events. However, this potential is not reciprocal, nor are all pairs of events related in such a way. This leads to the concept of a partially-ordered set of events, which is often called a causal set. Quantification proceeds by distinguishing two chains of coordinated events, each of which represent; an observer, and assigning a numerical valuation to each chain. By projecting events onto each chain, each event can be quantified by a pair of numbers, referred to as a pair. We show that each pair can be decomposed into a sum of symmetric and antisymmetric pairs, which correspond to time-like and space-like coordinates. We show that one can map a pair to a scalar and that this gives rise to the Minkowski metric. The result is an observer-based theory of special relativity that quatifies events with pairs of numbers. Events are fundamental and space-time is an artificial construct designed to make events look simple.