Causal fermion systems

<p>The theory of causal fermion systems is an approach to describe <a href="/facts/Fundamental_physics/WrFEJaFl">fundamental physics</a>. It provides a unification of the <a href="/facts/Weak_interaction/f6upmKMs">weak</a>, the <a href="/facts/Strong_interaction/JjRsKcLg">strong</a> and the <a href="/facts/Electromagnetism/oAkmALHT">electromagnetic forces</a> with <a href="/facts/Gravity/bqAN7DdQ">gravity</a> at the level of <a href="/facts/Classical_field_theory/7HuKY1qu">classical field theory</a>. Moreover, it gives <a href="/facts/Quantum_mechanics/BRc3Mzgr">quantum mechanics</a> as a <a href="/facts/Limiting_case_(philosophy_of_science)/YXLuxfcy">limiting case</a> and has revealed close connections to <a href="/facts/Quantum_field_theory/VoewsNJV">quantum field theory</a>. Therefore, it is a candidate for a unified physical theory.
Instead of introducing physical objects on a preexisting <a href="/facts/Spacetime/uRIN1x4b">spacetime</a> <a href="/facts/Manifold/rXPERJtu">manifold</a>, the general concept is to derive spacetime as well as all the objects therein as secondary objects from the structures of an underlying causal fermion system. This concept also makes it possible to generalize notions of <a href="/facts/Differential_geometry/c04XmyLu">differential geometry</a> to the non-smooth setting. In particular, one can describe situations when spacetime no longer has a manifold structure on the microscopic scale (like a spacetime lattice or other discrete or continuous structures on the <a href="/facts/Planck_scale/xDU6KlDM">Planck scale</a>). As a result, the theory of causal fermion systems is a proposal for <a href="/facts/Quantum_geometry/u2kx8MJY">quantum geometry</a> and an approach to <a href="/facts/Quantum_gravity/t7whBMNE">quantum gravity</a>.
</p><p>Causal fermion systems were introduced by <a href="/facts/Felix_Finster/IJUJA23a">Felix Finster</a> and collaborators.
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Causal fermion systems open-in-new

Causal fermion systems