The Continuum Limit of Causal Fermion Systems

From Planck Scale Structures to Macroscopic Physics

  • Felix Finster

Part of the Fundamental Theories of Physics book series (FTPH, volume 186)

About this book


This monograph introduces the basic concepts of the theory of causal fermion systems, a recent approach to the description of fundamental physics. The theory yields quantum mechanics, general relativity and quantum field theory as limiting cases and is therefore a candidate for a unified physical theory. From the mathematical perspective, causal fermion systems provide a general framework for describing and analyzing non-smooth geometries and "quantum geometries". The dynamics is described by a novel variational principle, called the causal action principle.

In addition to the basics, the book provides all the necessary mathematical background and explains how the causal action principle gives rise to the interactions of the standard model plus gravity on the level of second-quantized fermionic fields coupled to classical bosonic fields. The focus is on getting a mathematically sound connection between causal fermion systems and physical systems in Minkowski space.

The book is intended for graduate students entering the field, and is furthermore a valuable reference work for researchers in quantum field theory and quantum gravity.


Quantum geometry Planck scale physics Causal action principle Causal fermion system Fermionic projector Dirac equation Yang-Mills equation Gauge theories Mathematical structure of spacetime

Authors and affiliations

  • Felix Finster
    • 1
  1. 1.Universität RegensburgLehrstuhl für Mathematik Universität RegensburgRegensburgGermany

Bibliographic information