Relativistic QFT from a Bohmian perspective: A proof of concept

TL;DR

This paper demonstrates that a non-Lorentz covariant Bohmian quantum field theory can produce the same measurable predictions as relativistic QFT, challenging the belief that Bohmian mechanics cannot be compatible with relativity.

Contribution

It introduces a simple Bohmian model that matches the predictions of the Standard Model without requiring Lorentz covariance, offering a new perspective on reconciling Bohmian mechanics with relativistic QFT.

Findings

Bohmian theories can replicate Standard Model predictions without Lorentz covariance.

Constructed a simple Bohmian model consistent with relativistic QFT predictions.

Provides insights into potential fundamental theories beyond the Standard Model.

Abstract

Since Bohmian mechanics is explicitly nonlocal, it is widely believed that it is very hard, if not impossible, to make Bohmian mechanics compatible with relativistic quantum field theory (QFT). I explain, in simple terms, that it is not hard at all to construct a Bohmian theory that lacks Lorentz covariance, but makes the same measurable predictions as relativistic QFT. All one has to do is to construct a Bohmian theory that makes the same measurable predictions as QFT in one Lorentz frame, because then standard relativistic QFT itself guarantees that those predictions are Lorentz invariant. I first explain this in general terms, then I describe a simple Bohmian model that makes the same measurable predictions as the Standard Model of elementary particles, after which I give some hints towards a more fundamental theory beyond Standard Model. Finally, I present a short story telling how my views of fundamental physics in general, and of Bohmian mechanics in particular, evolved over time.