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      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

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      The Fermionic Projector
      Geometric Structures
      Surface Layer Integrals

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      Operator Algebras
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      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
      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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      Comments on Quantum Gravity Wishlists
      Relation to Other Theories
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Mathematical Introduction

  • Post author:Maximilian Jokel
  • Post published:July 17, 2019
  • Post category:Uncategorized
  • Post comments:0 Comments

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Hello world!

  • Post author:Maximilian Jokel
  • Post published:June 30, 2019
  • Post category:Uncategorized
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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
        • 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
        • 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
      â–¼
      • Mathematics
        â–¼
        • 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
        â–¼
        • 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
      â–¼
      • Current Research Projects
      • Future Perspectives
    • Community
    • Events