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      Mathematics

      Basic Structures

      Basic Definitions
      Generalizations and Special Cases
      Existence Theory

      Inherent Structures II

      Surface Layer Integrals
      Positive Functionals
      Fock Space Structures

      Inherent Structures I

      Spin Spaces and Physical Wave Functions
      The Fermionic Projector
      Geometric Structures

      Examples and Limiting Cases

      Minkowski Space as a Causal Fermion System
      The Continuum Limit
      Connection to Quantum Field Theory
      Connection to General Relativity

      Analytic Structures

      The Euler-Lagrange Equations
      The Linearized Field Equations
      Existence Theory for the Linearized Field Equations

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      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
      Why the Dirac Sea?
      What is Fundamental?
      Underlying Physical Principles

      Central Ideas of the Theory

      The Causal Action Principle
      The Continuum Limit
      The Logic Underlying the Derivation of the Classical Field Equations

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      • Home
      • Theory
        • Mathematics
          • Basic Definitions
          • Generalizations and Special Cases
          • Existence Theory
          • Spin Spaces and Physical Wave Functions
          • The Fermionic Projector
          • Geometric Structures
          • The Euler-Lagrange Equations
          • The Linearized Field Equations
          • Existence Theory for the Linearized Field Equations
          • Surface Layer Integrals
          • Positive Functionals
          • Fock Space Structures
          • Minkowski Space as a Causal Fermion System
          • The Continuum Limit
          • Connection to Quantum Field Theory
          • Connection to General Relativity
        • 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
          • Why the Dirac Sea?
          • What is Fundamental?
          • Underlying Physical Principles
          • Comments on Quantum Gravity Wishlists
          • Relation to Other Theories
      • Learning
      • Research
        • Current Research Projects
        • Future Perspectives
      • Community
      • Events
      • Home
      • Theory
        ▼
        • Mathematics
          ▼
          • Basic Definitions
          • Generalizations and Special Cases
          • Existence Theory
          • Spin Spaces and Physical Wave Functions
          • The Fermionic Projector
          • Geometric Structures
          • The Euler-Lagrange Equations
          • The Linearized Field Equations
          • Existence Theory for the Linearized Field Equations
          • Surface Layer Integrals
          • Positive Functionals
          • Fock Space Structures
          • Minkowski Space as a Causal Fermion System
          • The Continuum Limit
          • Connection to Quantum Field Theory
          • Connection to General Relativity
        • 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
          • Why the Dirac Sea?
          • What is Fundamental?
          • Underlying Physical Principles
          • Comments on Quantum Gravity Wishlists
          • Relation to Other Theories
      • Learning
      • Research
        ▼
        • Current Research Projects
        • Future Perspectives
      • Community
      • Events