The Entropic Dynamics of Relativistic Quantum Fields

TL;DR

This paper extends entropic dynamics to relativistic quantum fields, revealing a non-dissipative diffusion process where field fluctuations serve as a physical clock, and clarifies the nature of divergences in quantum field theories.

Contribution

It introduces a relativistic entropic dynamics framework, showing how field fluctuations set the scale of time and reinterpret divergences as epistemic uncertainties.

Findings

Relativistic entropic dynamics describes non-dissipative diffusion in field space.

Field fluctuations act as a physical clock in the relativistic regime.

Divergences in quantum field theories are epistemic, not physical.

Abstract

The formulation of quantum mechanics within the framework of entropic dynamics is extended to the domain of relativistic quantum fields. The result is a non-dissipative relativistic diffusion in the infinite dimensional space of field configurations. On extending the notion of entropic time to the relativistic regime we find that the field fluctuations provide the clock that sets the scale of duration. We also find that the usual divergences that affect all quantum field theories do not refer to the real values of physical quantities but rather to epistemic quantities invariably associated to unphysical probability distributions such as variances and other measures of uncertainty.