On the stochastic–quantum correspondence

This paper aims to first explain, somewhat more clearly, the stochastic–quantum correspondence put forward in by Barandes in 2023. Specifically, the quantum-mechanical bra–ket notation is used, illuminating some results of previous results. With this, we prove the six axioms of textbook quantum mechanics from a single axiom: every physical system evolves according to a, generally indivisible, stochastic law. Afterwards, we generalise the treatment to continuous bases, which showcases a problem with them, indicating that space (and other physical variables) may be discrete in nature. Some concrete examples are also given, including the generalisation to classical