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Stochastic field dynamics in models of spontaneous unitarity violation

by Lotte Mertens, Matthijs Wesseling, Jasper van Wezel

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Submission summary

Authors (as registered SciPost users): Jasper van Wezel
Submission information
Preprint Link: scipost_202312_00001v3  (pdf)
Date accepted: 2024-03-07
Date submitted: 2024-02-24 14:12
Submitted by: van Wezel, Jasper
Submitted to: SciPost Physics Core
Ontological classification
Academic field: Physics
  • Quantum Physics
Approach: Theoretical


Objective collapse theories propose a solution to the quantum measurement problem by predicting deviations from Schrodinger’s equation that can be tested experimentally. A class of objective theories based on spontaneous unitarity violation was recently introduced, in which the stochastic field required for obtaining Born’s rule does not depend on the state of the system being measured. Here, we classify possible models for the stochastic field dynamics in theories of spontaneous unitarity violation. We show that for correlated stochastic dynamics, the field must be defined on a closed manifold. In two or more dimensions, it is then always possible to find stochastic dynamics yielding Born’s rule, independent of the state being measured or the correlation time of the stochastic field. We show that the models defined this way are all isomorphic to the definition on a two-sphere, which we propose to be a minimal physical model for the stochastic field in models of spontaneous unitarity violation.

Author comments upon resubmission

In the attached revised manuscript, we implemented the additional suggestion of the reviewer, applied the SciPost stylefile, and included doi in the bibliography.

As requested, please also find attached the difftex file, comparing the text of the current version (before updating the style and bibliography) to that of the original submission.

NB: Since SciPost does not allow uploading multiple files upon resubmission, the diff-file is included in the end of the revised manuscript.

Published as SciPost Phys. Core 7, 012 (2024)

Reports on this Submission

Anonymous Report 1 on 2024-2-25 (Invited Report)


Really, again? I presume you can reuse my old comments ;-)

Requested changes

There is a typo tau -> \tau after Eq. (15).

Thanks for making those changes and I am happy to accept as is now.

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