Mathematics
Basics
Basic definitions
Generalizations and special cases
Existence theory
Examples and Limiting Cases
Minkowski space as a causal fermion system
The continuum limit
Connection to quantum field theory
Connection to General Relativity
Inherent Structures
Spin spaces and physical wave functions
The fermionic projector
Geometric structures
Surface layer integrals
Further Structures I
Manifolds of operators
Operator algebras
Causal cone structures
Fock space structures
Notions of entropy
Analytic Structures
The Euler-Lagrange equations
The linearized field equations
The dynamical wave equation
Construction of linear fields and waves
Further Structures II
Positive functionals
The fermionic signature operator
Action-driven flows
Physics
Motivation in Examples
Elementary Structures
What is a causal fermion system?
The causal structure
Motivation for the choice of $\F$
Phenomenology
A mechanism of baryogenesis
A mechanism for dark matter and dark energy
Wave function collapse
Central Ideas of the Theory
The causal action principle
The continuum limit
The logic underlying the derivation of the classical field equations
Wishlists and Relation to Other Theories
Comments on various quantum gravity wishlists
Relation to other theories
Main Results and Ontology
The Standard Model and General Relativity
Quantum field theory
Why the Dirac sea?
What is fundamental?
Underlying physical principles
FAQ
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Mathematics
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Basic definitions
Generalizations and special cases
Existence theory
Spin spaces and physical wave functions
The fermionic projector
Geometric structures
Surface layer integrals
The Euler-Lagrange equations
The linearized field equations
The dynamical wave equation
Construction of linear fields and waves
Minkowski space as a causal fermion system
The continuum limit
Connection to quantum field theory
Connection to General Relativity
Manifolds of operators
Operator algebras
Causal cone structures
Fock space structures
Notions of entropy
Positive functionals
The fermionic signature operator
Action-driven flows
Physics
▼
Motivation in examples
What is a causal fermion system?
The causal structure
Motivation for the choice of F
The causal action principle
The continuum limit
The logic underlying the derivation of the classical field equations
The Standard Model and General Relativity
Quantum field theory
Why the Dirac sea?
What is fundamental?
Underlying physical principles
A mechanism of baryogenesis
A mechanism for dark matter and dark energy
Wave function collapse
Comments on Quantum Gravity wishlists
Extended explanation of physical aspects
Relation to other theories
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Current research projects
Future perspectives
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Causal Fermion Systems 2025
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