5 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…
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…
A Sharp Regularity Threshold for Uniqueness in Riemannian Calderón-type Problems
Thierry Daudé, Alberto Enciso, Bernard Helffer +2
We prove a sharp regularity threshold for uniqueness in two anisotropic Calderón-type inverse problems in dimension . The main setting is the Riemannian Schrödinger probl…
Holographic Mixing and Fock Space Dynamics of Causal Fermion Systems
Claudio Dappiaggi, Felix Finster, Niky Kamran +1
A limiting case is considered in which the causal action principle for causal fermion systems describing Minkowski space gives rise to the linear Fock space dynamics of quantum ele…
A Positive Quasilocal Mass for Causal Variational Principles
Felix Finster, Niky Kamran
A new inequality for a nonlinear surface layer integral is proved for minimizers of causal variational principles. This inequality is applied to obtain a new proof of the positive…