A local-realistic theory for fermions

TL;DR

This paper introduces a local-realistic model for fermionic systems using the Raymond-Robichaud formalism, addressing longstanding issues in defining local states and transformations for fermions.

Contribution

It presents a novel local model for fermions based on a formalism that ensures locality and no-signalling, overcoming previous difficulties with fermionic systems.

Findings

Constructs a local model for fermions using the Raymond-Robichaud formalism

Addresses issues with local states and transformations in fermionic systems

Demonstrates the model's consistency with no-signalling principles

Abstract

We propose a local model for general fermionic systems, which we express in the Heisenberg picture. To this end, we shall use a recently proposed formalism, the so-called "Raymond-Robichaud" construction, which allows one to construct an explicitly local model for any dynamical theory that satisfies no-signalling, in terms of equivalence classes of transformations that can be attached to each individual subsystem. By following the rigorous use of the parity superselection rule for fermions, we show how this construction removes the usual difficulties that fermionic systems display in regard to the definition of local states and local transformations.