From the 1 of 18 linked papers with an AI index.
18 papers
The -Calculus for Causal Variational Principles: An Exterior Differential Calculus on Non-Smooth Spaces
Felix Finster, Niky Kamran, Frank van der Top
A differential calculus for causal variational principles is developed, which generalizes the exterior calculus of differential forms and some of the associated differential topolo…
A Geometric Derivation of the Einstein Equations from the Causal Action Principle
Felix Finster, Christoph Krpoun
The paper derives the Einstein equations from the causal action principle for causal fermion systems, showing that a Lorentzian metric and the Einstein field equations emerge on a…
The Fock Space Dynamics of Causal Fermion Systems: Non-Abelian Gauge Fields
Claudio Dappiaggi, Felix Finster, Niky Kamran +1
A limiting case is worked out in which the causal action principle for causal fermion systems describing Minkowski space gives rise to the linear Fock space dynamics of perturbativ…
The Continuum Limit Analysis of Causal Fermion Systems for Curved Spacetimes
Patrick Fischer, Felix Finster
We construct the causal fermion system for globally hyperbolic spacetimes starting in the framework of algebraic quantum field theory. The fermionic projector is identified with th…
The Fermionic Signature Operator in the Reissner-Nordström Geometry in Horizon-Penetrating Coordinates
Felix Finster, Christoph Krpoun
We study the Dirac equation in the Reissner-Nordström geometry in horizon-penetrating coordinates up to the Cauchy horizon. A mass decomposition theorem is proved, which gives a c…
Action-Driven Flows for Causal Variational Principles
Felix Finster, Franz Gmeineder
We introduce action-driven flows for causal variational principles, being a class of non-convex variational problems emanating from applications in fundamental physics. In the comp…