# The Theory of Causal Fermion Systems

## A Mechanism for Dark Matter and Dark Energy

## A Mechanism for Dark Matter and Dark Energy

### Felix Finster

Author

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# The Theory of Causal Fermion Systems

## A Mechanism for Dark Matter and Dark Energy

## A Mechanism for Dark Matter and Dark Energy

In [FI22] it is shown that the theory of causal fermion systems gives rise to a novel mechanism for dark matter and dark energy. The magnitude of the effect scales like one over the lifetime of the universe squared. In contrast to most models of dark matter and dark energy, our mechanism does not postulate any new particles. Instead, it is a result of the collective behavior of all the wave functions which form the Dirac sea, needed in order to arrange correlated initial and end quantum states of the universe.

### Felix Finster

- 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
- Learning
- Research
- Community
- Events
- Internal

Author

- 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▼
- Community
- Events
- Internal
- FAQ