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 You might be looking for the full article about causal fermion systems. If so, click here: causal fermion systems.

The version history of it's development can be found here: Draft:Causal_Fermion_Systems

= Core objects of the theory =

The theory of causal fermion systems consists essentially of two mathematical objects. First, causal fermion systems themselves and second, a principle which allows to pick physically reasonable causal fermion systems. The latter is called causal action principle.

In oder to understand the functioning of these two objects, let us take a look at General Relativity. This theory also consists essentially of two objects. First, there is a manifold with metric, which carries all physical information (e.g. about the outcome of observations), and second, there are the Einstein equations which allow to determine which metrics are physical (if a stress-energy tensor is specified). In the theory of causal fermion systems, the role of the metric is taken by causal fermion systems. Similarly to a metric, they specify physical information. The causal action principle allows to determine which causal fermion systems are physically "reasonable" or "possible" and hence works similarly to the Einstein equations in General Relativity.

Let us take a look at the mathematical definition of both.