The Theory of Causal Fermion Systems
Overview of Physical Aspects
In what follows, we explain the mathematical framework underlying causal fermion systems. This page is set up in a “build your own adventure” style. Every subpage explains one concept. At the top of the page you will find a list of pages which we recommend to have read before the one you are looking at, and in the end you find a list with further readings. The explanations in this section are geared more towards a physics audience and therefore mathematical rigor was not top priority. If you prefer a more rigorous approach, you can find here an explanation focusing on the mathematical aspects.
Below we give an overview of the subpages and how they are connected. On every page the list of prerequisites indicate which subpages you should have read before you start with this particular topic.
If you are interested in open physical questions, you may find it helpful to check out the collection of Quantum Gravity wish lists and our comments what the theory of Causal Fermion Systems has to say about them. Nevertheless, we recommend reading through the extended explanation first.
The Elementary Structures
Here you can find an introduction to the elementary structures of the theory and their basic properties.
The Central Ideas of the Theory
Here you find an introduction to the main ideas of the theory. First and foremost, the causal action principle which forms the core of the theory.
Main Results and Ontology
Here we give an overview of the main results of the theory . We also discuss the physical motivation and interpretation of the theory.
The theory of causal fermion systems aims at making physical predictions. Here are first steps in this direction.
Wishlists and Relation to Other Theories
Here you find an overview of which open questions in fundamental theoretical physics are addressed by the Theory of Causal Fermion Systems and how the approach relates to other theories.