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    • Mathematics
      • 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
      • 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
      • Comments on Quantum Gravity wishlists
      • Extended explanation of physical aspects
      • Relation to other theories
      • Frequently asked questions

    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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  • Research
    • Current research projects
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    Current research projects
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    • Causal Fermion Systems 2025
    Regular events
    Causal Fermion Systems 2025
  • Internal

dynamic-content-megamenu-menuitem3019

Mathematics

Basic Structures

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

Manifolds of Operators
Operator Algebras
Causal Cone Structures
Fock Space Structures

Analytic Structures

The Euler-Lagrange Equations
The Linearized Field Equations
The Dynamical Wave Equation
Construction of Linear Fields and Waves

Further Structures

Positive Functionals
The Fermionic Signature Operator
Notions of Entropy

Physics

Elementary Structures

What is a Causal Fermion System?
The Causal Structure
Motivation for the Choice of F

Main Results and Ontology

The Standard Model and General Relativity
Quantum Field Theory
Why the Dirac Sea?
What is Fundamental?
Underlying Physical Principles

Phenomenology

A Mechanism of Baryogenesis
A Mechanism for Dark Matter and Dark Energy

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 Quantum Gravity Wishlists
Relation to Other Theories
  • Home
  • Mathematics
    • 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
  • Learning
  • Research
    • Current research projects
    • Future perspectives
  • Community
  • Events
    • Regular events
    • Causal Fermion Systems 2025
  • Internal
  • FAQ
Type your search
  • Home
  • Mathematics
    ▼
    • 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
  • Learning
  • Research
    ▼
    • Current research projects
    • Future perspectives
  • Community
  • Events
    ▼
    • Regular events
    • Causal Fermion Systems 2025
  • Internal
  • FAQ