Causal variational principles on measure spaces

DOI10.1515/CRELLE.2010.069zbMath1213.49006arXiv0811.2666MaRDI QIDQ3163866

Felix Finster

Publication date: 27 October 2010

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0811.2666

zbMATH Keywords

space-like separationcounter examples to compactnessgeneral existence resultstime-like separationvariational principles on measure spaces

Mathematics Subject Classification ID

Existence theories for problems in abstract spaces (49J27)

Related Items (20)

A mechanism for dark matter and dark energy in the theory of causal fermion systems ⋮ Fermionic Fock spaces and quantum states for causal fermion systems ⋮ Noether-like theorems for causal variational principles ⋮ Existence of minimizers for causal variational principles on compact subsets of momentum space in the homogeneous setting ⋮ Elliptic methods for solving the linearized field equations of causal variational principles ⋮ Causal variational principles in the \(\sigma\)-locally compact setting: existence of minimizers ⋮ A Hamiltonian formulation of causal variational principles ⋮ A mechanism of baryogenesis for causal fermion systems ⋮ Causal variational principles in the infinite-dimensional setting: existence of minimizers ⋮ The causal action in Minkowski space and surface layer integrals ⋮ Spinors on Singular Spaces and the Topology of Causal Fermion Systems ⋮ A class of conserved surface layer integrals for causal variational principles ⋮ A gauge fixing procedure for causal fermion systems ⋮ A notion of entropy for causal fermion systems ⋮ On the initial value problem for causal variational principles ⋮ On the support of minimizers of causal variational principles ⋮ Banach manifold structure and infinite-dimensional analysis for causal fermion systems ⋮ The linear dynamics of wave functions in causal fermion systems ⋮ Causal fermion systems and the ETH approach to quantum theory ⋮ Singular support of minimizers of the causal variational principle on the sphere

Cites Work

• A variational principle in discrete space-time: existence of minimizers
• FERMION SYSTEMS IN DISCRETE SPACE–TIME EXEMPLIFYING THE SPONTANEOUS GENERATION OF A CAUSAL STRUCTURE

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