Holographic Mixing and Fock Space Dynamics of Causal Fermion Systems

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.

74 pages, LaTeX, 3 figures, many small improvements (published version)

References in corpus (4)

• Entangled Quantum States of Causal Fermion Systems and Unitary Group Integrals
• Construction of Global Solutions to the Linearized Field Equations for Causal Variational Principles
• Solving the Linearized Field Equations of the Causal Action Principle in Minkowski Space
• Causal Fermion Systems as an Effective Collapse Theory