An objective collapse model without state dependent stochasticity
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 Schrödinger's equation. Here, we pres...
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| Format: | Article |
| Language: | English |
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SciPost
2023-05-01
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| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.14.5.114 |
| _version_ | 1797826071792451584 |
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| author | Lotte Mertens, Matthijs Wesseling, Jasper van Wezel |
| author_facet | Lotte Mertens, Matthijs Wesseling, Jasper van Wezel |
| author_sort | Lotte Mertens, Matthijs Wesseling, Jasper van Wezel |
| collection | DOAJ |
| description | 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 Schrödinger'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. |
| first_indexed | 2024-03-13T11:03:16Z |
| format | Article |
| id | doaj.art-3ac04bb542b14c51813af08ac962e419 |
| institution | Directory Open Access Journal |
| issn | 2542-4653 |
| language | English |
| last_indexed | 2024-03-13T11:03:16Z |
| publishDate | 2023-05-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics |
| spelling | doaj.art-3ac04bb542b14c51813af08ac962e4192023-05-16T13:19:24ZengSciPostSciPost Physics2542-46532023-05-0114511410.21468/SciPostPhys.14.5.114An objective collapse model without state dependent stochasticityLotte Mertens, Matthijs Wesseling, Jasper van WezelThe 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 Schrödinger'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.https://scipost.org/SciPostPhys.14.5.114 |
| spellingShingle | Lotte Mertens, Matthijs Wesseling, Jasper van Wezel An objective collapse model without state dependent stochasticity SciPost Physics |
| title | An objective collapse model without state dependent stochasticity |
| title_full | An objective collapse model without state dependent stochasticity |
| title_fullStr | An objective collapse model without state dependent stochasticity |
| title_full_unstemmed | An objective collapse model without state dependent stochasticity |
| title_short | An objective collapse model without state dependent stochasticity |
| title_sort | objective collapse model without state dependent stochasticity |
| url | https://scipost.org/SciPostPhys.14.5.114 |
| work_keys_str_mv | AT lottemertensmatthijswesselingjaspervanwezel anobjectivecollapsemodelwithoutstatedependentstochasticity AT lottemertensmatthijswesselingjaspervanwezel objectivecollapsemodelwithoutstatedependentstochasticity |