Ontological States in Non-Interacting Quantum Field Theories

TL;DR

This paper identifies and constructs ontological states in non-interacting quantum field theories, providing a foundation for deterministic interpretations of the Standard Model.

Contribution

It presents the explicit form of ontological states for all non-interacting Standard Model particles, advancing the understanding of deterministic quantum theories.

Findings

Ontological states for free scalar bosons are summarized.

Ontological states for free massless Dirac fermions are summarized.

Constructed ontological states for vector bosons in analogy to scalar bosons.

Abstract

This is a paper in the field of ontological deterministic theories behind Quantum Field Theories, like for example the cellular automaton theories proposed by 't Hooft. In these theories one has ontological states in which the state of reality is exactly known and no uncertainties are present. Also these states evolve in time deterministically. A first step in finding the ontological deterministic theory behind the Standard Model is to find in Quantum Field Theory the states that behave as ontological states. We present the ontological states for all non-interacting (3+1-dimensional) Quantum Field Theories occurring in the Standard Model. We summarize the ontological states for free scalar bosons and for free masless Dirac fermions, which are known from the literature. We construct the ontological states for vector bosons, in analogy to the scalar boson case. With this we have a set of ontological states for all particles that are known to occur in reality and in the Standard Model.