On the Initial Value Problem for Causal Variational Principles

Abstract

We formulate the initial value problem for causal variational principles in the continuous setting on a compact metric space. The existence and uniqueness of solutions is analyzed. The results are illustrated by simple examples.

26 pages, LaTeX, 2 figures, minor improvements (published version)

References in corpus (5)

• A Lorentzian Quantum Geometry
• Causal Fermion Systems: A Quantum Space-Time Emerging from an Action Principle
• On the Support of Minimizers of Causal Variational Principles
• On the Structure of Minimizers of Causal Variational Principles in the Non-Compact and Equivariant Settings
• Causal Variational Principles on Measure Spaces

Cited by in corpus (2)

• Spinors on Singular Spaces and the Topology of Causal Fermion Systems
• Causal Fermion Systems and the ETH Approach to Quantum Theory