Finster, Felix and Kleiner, Johannes and Paganini, Claudio F. (2024) Causal fermion systems as an effective collapse theory. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 57 (39): 395303. ISSN 1751-8113, 1751-8121
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It is shown that, in the non-relativistic limit, causal fermion systems give rise to an effective collapse theory. The nonlinear and stochastic correction terms to the Schr & ouml;dinger equation are derived from the causal action principle. The dynamics of the statistical operator is described by a deterministic equation of Kossakowski-Lindblad form. Moreover, the quantum state undergoes a dynamical collapse compatible with the Born rule. The effective model has similarities with the continuous spontaneous localization model, but differs from it by a conservation law for the probability integral as well as a non-locality in time on a microscopic length scale & ell;min.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | QUANTUM-MECHANICS; DYNAMICS; REDUCTION; MODELS; SPACE; collapse theory; measurement problem; causal fermion system; continous spontaneous localization; state reduction |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics Mathematics > Prof. Dr. Felix Finster |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 04 Aug 2025 05:34 |
| Last Modified: | 04 Aug 2025 05:34 |
| URI: | https://pred.uni-regensburg.de/id/eprint/63881 |
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