In the Standard Model, various wave equations including the Dirac and Weyl equations are used to represent the wave aspect of fermion particles like the electron. In the standard Copenhagen and other interpretations, this wave is thought to be purely epistemic in nature, reflecting a lack of knowledge about the underlying quantum state until a measurement takes place.
In the pilot-wave model, the quantum wave is instead considered to be a physically real (ontological) entity, that interacts with massive particles, thus creating the unambiguously real interference effects and other such phenomena that are at the heart of quantum physics (e.g., the double-slit experiment results).
Even within the pilot-wave model, these wave equations represent both epistemic and ontologically real aspects of the time-evolution of a particle. An important goal of the Spinfield Model is to “unscramble this omelette” and develop a quantum wave function that only reflects the ontologically real impact of quantum waves, with the time-evolution of particles under stochastic motion generating the epistemic aspects.
Given that nobody has yet unscrambled this omelette, determining exactly what belongs in this quantum wave is a difficult process. In principle, one could develop a more solid, well-grounded model of stochastic motion and other properties such as spin that properly belong to the individual particles, and then effectively subtract this from the Dirac wave function, with the remainder representing what the quantum wave needs to capture. See mechanisms for more detailed discussion.