Finite probability theory is enriched by introducing the mathematical notion (no physics involved) of a superposition event ΣS–in addition to the usual discrete event S (subset of the outcome space U). To differentiate the superposition event from the usual discrete event, we need a simple type of density matrices. It is then shown that the Born Rule arises from the density matrix used to represent the superposition event. Thus the Born Rule arises naturally out of the mathematics of probability theory enriched by superposition events. It does not need any more-exotic or physics-based explanation. No physics was used in the making of this paper. The Born Rule is just a feature of the mathematics of superposition.
The Born Rule is a feature of Superposition
October 20, 2023 by