Holographic Mixing and Fock Space Dynamics of Causal Fermion Systems

TL;DR

This paper explores how causal fermion systems can produce Fock space dynamics of QED, introducing the concept of holographic mixing and analyzing quantum bosonic fields as stochastic, fluctuating entities.

Contribution

It demonstrates a limiting case where causal fermion systems yield quantum electrodynamics dynamics and introduces the novel concept of holographic mixing.

Findings

Quantum bosonic fields emerge from stochastic fluctuating fields.

Holographic mixing is a new concept explaining field interactions.

Error terms are scaled explicitly in the analysis.

Abstract

A limiting case is considered in which the causal action principle for causal fermion systems describing Minkowski space gives rise to the linear Fock space dynamics of quantum electrodynamics. The quantum nature of the bosonic field is a consequence of the stochastic description of a multitude of fluctuating fields coupled to non-commuting operators, taking into account dephasing effects. The scaling of all error terms is specified. Our analysis leads to the concept of holographic mixing, which is introduced and explained in detail.