causal fermion systems 1causal variational principle 1Einstein equations 1lorentzian geometry 1regularization length 1
From the 1 of 3 linked papers with an AI index.
3 papers
math-ph2026
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…
math-ph2026
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…
math-ph2025
An Integral Representation for the Dirac Propagator in the Reissner-Nordström Geometry in Eddington-Finkelstein Coordinates
Felix Finster, Christoph Krpoun
The Cauchy problem for the massive Dirac equation is studied in the Reissner-Nordström geometry in horizon-penetrating Eddington-Finkelstein-type coordinates. We derive an integra…