Causal Fermion Systems: An Elementary Introduction to Physical Ideas and Mathematical Concepts

Abstract

We give an elementary introduction to the theory of causal fermion systems, with a focus on the underlying physical ideas and the conceptual and mathematical foundations.

arXiv comment24 pages, LaTeX, 3 figures, minor changes (published version)

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Cited by in corpus (21)

• Complex Structures on Jet Spaces and Bosonic Fock Space Dynamics for Causal Variational Principles
• Banach Manifold Structure and Infinite-Dimensional Analysis for Causal Fermion Systems
• The Causal Action in Minkowski Space and Surface Layer Integrals
• Fermionic Fock Spaces and Quantum States for Causal Fermion Systems
• Two-Dimensional Area and Matter Flux in the Theory of Causal Fermion Systems
• The Linear Dynamics of Wave Functions in Causal Fermion Systems
• A Mechanism of Baryogenesis for Causal Fermion Systems
• A Gauge Fixing Procedure for Causal Fermion Systems
• Causal Fermion Systems: Classical Gravity and Beyond
• Causal Variational Principles in the $\sigma$-Locally Compact Setting: Existence of Minimizers
• Causal Fermion Systems and the ETH Approach to Quantum Theory
• Modified Measures as an Effective Theory for Causal Fermion Systems
• Causal Fermion Systems and Octonions
• Causal Fermion Systems as an Effective Collapse Theory
• A Notion of Entropy for Causal Fermion Systems
• Local Algebras for Causal Fermion Systems in Minkowski Space
• Elliptic Methods for Solving the Linearized Field Equations of Causal Variational Principles
• The Homogeneous Causal Action Principle on a Compact Domain in Momentum Space
• Notions of Fermionic Entropies of a Causal Fermion System
• Linear Bosonic Quantum Field Theories Arising from Causal Variational Principles
• A Canonical Construction of the Extended Hilbert Space for Causal Fermion Systems