- #1

Peter Morgan

Gold Member

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- TL;DR Summary
- This is an invitation to discuss how well the ideas in "The collapse of a quantum state as a joint probability construction", in JPhysA 2022, allow us to rethink the measurement problem.

The titular paper can be found here, https://doi.org/10.1088/1751-8121/ac6f2f, and on arXiv as https://arxiv.org/abs/2101.10931 (which is paginated differently, but the text and equation and section numbers are the same). Please see the abstract, but in part this 24 page paper argues that we can understand the relationship between classical and quantum physics as about how we systematically model joint and incompatible probability measures.

There is also a suggested introduction of a "super-Heisenberg picture", for which both the unitary evolution and collapse are absorbed into measurement operators, with the state being time-invariant, in contrast to the Schrödinger picture (for which both unitary evolution and collapse are applied to the state, measurements are time-invariant) and the Heisenberg picture (for which unitary evolution is applied to measurements and collapse is applied to the state), which can be understood as a largely mathematical no-collapse approach that introduces less in the way of metaphysical claims about the mathematics.

For a background to this paper that some people have found helpful, I attach a PDF of a talk I gave at a workshop a month ago at INFN Frascati.

There is also a suggested introduction of a "super-Heisenberg picture", for which both the unitary evolution and collapse are absorbed into measurement operators, with the state being time-invariant, in contrast to the Schrödinger picture (for which both unitary evolution and collapse are applied to the state, measurements are time-invariant) and the Heisenberg picture (for which unitary evolution is applied to measurements and collapse is applied to the state), which can be understood as a largely mathematical no-collapse approach that introduces less in the way of metaphysical claims about the mathematics.

For a background to this paper that some people have found helpful, I attach a PDF of a talk I gave at a workshop a month ago at INFN Frascati.