• Home
  • Theory
    • 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
      • Positive functionals
      • The fermionic signature operator
      • Notions of entropy
    • 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

    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

    Notions of entropy

    Physics

    Elementary Structures

    What is a causal fermion system?

    Causal structure

    Motivation for the choice of F

    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 field equations

    Wishlists and Relation to Other Theories

    Comments on 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

  • Learning
  • Research
    • Current research projects
    • Future perspectives
    Current research projects
    Future perspectives
  • Community
  • Events
  • Internal
  • 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
    • Positive functionals
    • The fermionic signature operator
    • Notions of entropy
  • 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
  • Learning
  • Research
    ▼
    • Current research projects
    • Future perspectives
  • Community
  • Events
  • Internal
  • FAQ