A Class of Conserved Surface Layer Integrals for Causal Variational Principles

TL;DR

This paper introduces a new class of conserved surface layer integrals within causal fermion systems, providing insights into the variational principles that underpin the physical equations in this theoretical framework.

Contribution

It identifies and analyzes a novel class of conserved surface layer integrals for causal variational principles, advancing the mathematical understanding of causal fermion systems.

Findings

Discovery of a new class of conserved integrals

Analysis of their properties within causal variational principles

Implications for the mathematical structure of causal fermion systems

Abstract

In the theory of causal fermion systems, the physical equations are obtained as the Euler-Lagrange equations of a causal variational principle. Studying families of critical measures of causal variational principles, a class of conserved surface layer integrals is found and analyzed.