A Notion of Entropy for Causal Fermion Systems

Abstract

A notion of entropy is introduced for causal fermion systems. This entropy is a measure of the state of disorder of a causal fermion system at a given time compared to the vacuum. The definition is given both in the finite and infinite-dimensional settings. General properties of the entropy are analyzed.

29 pages, LaTeX, 2 figure, more details and Section 2.1 added (published version)

References in corpus (3)

• Banach Manifold Structure and Infinite-Dimensional Analysis for Causal Fermion Systems
• Fermionic Fock Spaces and Quantum States for Causal Fermion Systems
• The Linear Dynamics of Wave Functions in Causal Fermion Systems

Cited by in corpus (3)

• Fermionic Fock Spaces and Quantum States for Causal Fermion Systems
• Notions of Fermionic Entropies of a Causal Fermion System
• Hyperbolic space in the Newtonian limit: the cosmological constant