Holographic Mixing and Fock Space Dynamics of Causal Fermion Systems

Claudio Dappiaggi, Felix Finster, Niky Kamran, Moritz Reintjes

Published 2024-10-23Version 1

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.