Finster, Felix and Froehlich, Jurg and Oppio, Marco and Paganini, Claudio F. (2021) Causal fermion systems and the ETH approach to quantum theory. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 14 (5). pp. 1717-1746. ISSN 1937-1632, 1937-1179
Full text not available from this repository. (Request a copy)Abstract
After reviewing the theory of "causal fermion systems" (CFS theory) and the "Events, Trees, and Histories Approach" to quantum theory (ETH approach), we compare some of the mathematical structures underlying these two general frameworks and discuss similarities and differences. For causal fermion systems, we introduce future algebras based on causal relations inherent to a causal fermion system. These algebras are analogous to the algebras previously introduced in the ETH approach. We then show that the spacetime points of a causal fermion system have properties similar to those of "events", as defined in the ETH approach. Our discussion is underpinned by a survey of results on causal fermion systems describing Minkowski space that show that an operator representing a spacetime point commutes with the algebra in its causal future, up to tiny corrections that depend on a regularization length.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | VARIATIONAL-PRINCIPLES; ETH approach to quantum theory; causal fermion systems; measurement problem; quantum field theory; operator algebras |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Felix Finster |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 17 Aug 2022 05:35 |
| Last Modified: | 17 Aug 2022 05:35 |
| URI: | https://pred.uni-regensburg.de/id/eprint/46524 |
Actions (login required)
 |
View Item |
