The Fermionic Projector, Entanglement, and the Collapse of the Wave Function

Abstract

After a brief introduction to the fermionic projector approach, we review how entanglement and second quantized bosonic and fermionic fields can be described in this framework. The constructions are discussed with regard to decoherence phenomena and the measurement problem. We propose a mechanism leading to the collapse of the wave function in the quantum mechanical measurement process.

17 pages, LaTeX, 2 figures, minor changes (published version)

References in corpus (9)

• How Stands Collapse II
• A Lorentzian Quantum Geometry
• Causal Fermion Systems: A Quantum Space-Time Emerging from an Action Principle
• A Variational Principle in Discrete Space-Time - Existence of Minimizers
• Fermion Systems in Discrete Space-Time - Outer Symmetries and Spontaneous Symmetry Breaking
• Entanglement and Second Quantization in the Framework of the Fermionic Projector
• From Discrete Space-Time to Minkowski Space: Basic Mechanisms, Methods and Perspectives
• The interpretation of quantum mechanics: where do we stand?
• The Principle of the Fermionic Projector: An Approach for Quantum Gravity?

Cited by in corpus (6)

• Causal Fermion Systems: A Quantum Space-Time Emerging from an Action Principle
• On the Support of Minimizers of Causal Variational Principles
• Noether-Like Theorems for Causal Variational Principles
• Perturbative Quantum Field Theory in the Framework of the Fermionic Projector
• Schroedinger vs. Navier-Stokes
• The irreversible quantum