Title from publisher's bibliographic system (viewed on 17 Nov 2025).

Physical preliminaries -- Mathematical preliminaries -- Elements of operator theory -- Spinors in curved spacetime -- A brief introduction to causal fermion systems -- Causal variational principles -- The Euler-Lagrange equations -- The linearized field equations -- Surface layer integrals and conservation laws -- Positive functionals -- Topological and geometric structures -- Measure-theoretic methods -- Methods of hyperbolic partial differential equations -- Energy methods for the linearized field equations -- Functional analytic methods in spacetime -- Fourier methods -- Methods of scattering theory -- Methods of perturbation theory -- Methods of microlocal analysis -- Basics on the continuum limit -- Connection to quantum field theory.

Open Access. Unrestricted online access star

The theory of causal fermion systems represents a novel approach to fundamental physics and is a promising candidate for a unified physical theory. This book offers a comprehensive overview of the theory, structured in four parts: the first lays the necessary mathematical and physical foundations; the second offers an introduction to the theory and the causal action principle; the third describes the mathematical tools for analyzing causal fermion systems; and the fourth gives an outlook on the key physical applications. With relevance across mathematical and theoretical physics, the book is aimed at graduate students and researchers interested in novel approaches to the structure of spacetime and alternative perspectives to the more established quantum field theories. It can be used for advanced courses in the subject or as a reference for research and self-guided study. Exercises are included at the end of each chapter to build and develop key concepts.

WARNING - Flashing hazard

Latest accessibility assessment date: 20250908