"Classical" model of discrete QFT: Klein Gordon and electromagnetic fields

TL;DR

This paper proposes a local classical model for quantum fields, specifically Klein-Gordon and electromagnetic fields, using a bimetric framework that allows superluminal signals while deriving functionals from local functions.

Contribution

It introduces a novel local classical model of quantum fields that derives functionals from local functions, challenging the non-locality inherent in traditional QFT.

Findings

Model fits within a bimetric framework with superluminal signals

Functionals are derived from local functions over spacetime

The approach offers a local perspective on quantum field emergence

Abstract

The purpose of this paper is to propose a "classical" model of "quantum" fields which is local. Yet it admittedly violates relativity as we know it and, instead, it fits within a bimetric model with one metric corresponding to speed of light and another metric to superlumianl signals whose speed is still finite albeit very large. The key obstacle to such model is the notion of functional in the context of QFT which is inherently non-local. The goal of this paper is to stop viewing functionals as fundamental and instead model their emergence from the deeper processes that are based on functions over $\mathbb{R}^4$ alone. The latter are claimed to be local in the above bimetric sense.