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An objective collapse model without state dependent stochasticity
by Lotte Mertens, Matthijs Wesseling, Jasper van Wezel
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Submission summary
| Authors (as registered SciPost users): | Lotte Mertens · Jasper van Wezel |
| Submission information | |
|---|---|
| Preprint Link: | https://arxiv.org/abs/2208.11584v1 (pdf) |
| Date submitted: | 2022-08-25 17:49 |
| Submitted by: | Mertens, Lotte |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
|
| Approaches: | Theoretical, Computational |
Abstract
The impossibility of describing measurement in quantum mechanics while using a quantum mechanical model for the measurement machine, remains one of its central problems. Objective collapse theories attempt to resolve this problem by proposing alterations to Schrodinger's equation. Here, we present a minimal model for an objective collapse theory that, in contrast to previous proposals, does not employ state dependent stochastic terms in its construction. It is an explicit proof of principle that it is possible for Born's rule to emerge from a stochastic evolution in which no properties of the stochastic process depend on the state being evolved. We propose the presented model as a basis from which more realistic objective collapse theories can be constructed.
Current status:
Reports on this Submission
Strengths
None, I am afraid!
Weaknesses
1. Incorrect criticism of objective collapse theories.
2. Unsatisfactory claimed derivation of Born probability rule.
Report
Are this journal's acceptance criteria met?
No.
Recommend for another journal?
No.
Requested changes
NA
Report 1 by Eric Aspling on 2022-9-26 (Invited Report)
- Cite as: Eric Aspling, Report on arXiv:2208.11584v1, delivered 2022-09-26, doi: 10.21468/SciPost.Report.5771
Strengths
1: Connection to experiment
2: Novel
3: Well-cited
Report
This is an excellent paper. The authors ideas are novel and compelling. The manuscript is well written and the citations are logical and plenty for a paper of this size.
I only $\textbf{suggest}$ the two changes listed below. However, the paper would be good with or without the suggestions.
1: Specify and elaborate specific experiments of interest to the authors. Although the citations are specific experiments, it would be helpful if the authors could summarize briefly how the experiment can shed light on their collapse theory. Even one single example so that the reader doesn't have to read and process multiple citations. One of the unique things about this method, is how connected perturbations of the Schrodinger equations are to experiment. I think slightly more emphasis on this would go a long way.
2: The second to last paragraph in section IV is quite remarkable, yet easily lost! I might suggest splitting this paragraph into two separate paragraphs or possibly another subsection, for any reader that is skimming. A graph of N vs. $\varepsilon \tau_r$ might be a really exciting way to see the relationship of system size and correlation time, and how these numbers actually stack up.