dorsal/arxiv
View SchemaThe hidden measurement formalism: what can be explained and where quantum paradoxes remain
| Authors | Diederik Aerts |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0105126 |
| URL | https://arxiv.org/abs/quant-ph/0105126 |
| Journal | International Journal of Theoretical Physics, 37, 291, 1998. |
Abstract
In the hidden measurement formalism that we develop in Brussels we explain the quantum structure as due to the presence of two effects, (a) a real change of state of the system under influence of the measurement and, (b) a lack of knowledge about a deeper deterministic reality of the measurement process. We show that the presence of these two effects leads to the major part of the quantum mechanical structure of a theory where the measurements contain the two mentioned effects. We present a quantum machine, where we can illustrate in a simple way how the quantum structure arises as a consequence of the two effects. We introduce a parameter 'epsilon' that measures the amount of the lack of knowledge on the measurement process, and by varying this parameter, we describe a continuous evolution from a quantum structure (maximal lack of knowledge) to a classical structure (zero lack of knowledge). We show that for intermediate values of epsilon we find a new type of structure that is neither quantum nor classical. We analyze the quantum paradoxes and show that they can be divided into two groups: (1) The group (measurement problem and Schrodingers cat paradox) where the paradoxical aspects arise mainly from the application of standard quantum theory as a general theory (e.g. also describing the measurement apparatus). This type of paradox disappears in the hidden measurement formalism. (2) A second group collecting the paradoxes connected to the effect of non-locality (the Einstein-Podolsky-Rosen paradox and the violation of Bell inequalities). We show that these paradoxes are internally resolved because the effect of non-locality turns out to be a fundamental property of the hidden measurement formalism itself.
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"abstract": "In the hidden measurement formalism that we develop in Brussels we explain\nthe quantum structure as due to the presence of two effects, (a) a real change\nof state of the system under influence of the measurement and, (b) a lack of\nknowledge about a deeper deterministic reality of the measurement process. We\nshow that the presence of these two effects leads to the major part of the\nquantum mechanical structure of a theory where the measurements contain the two\nmentioned effects. We present a quantum machine, where we can illustrate in a\nsimple way how the quantum structure arises as a consequence of the two\neffects. We introduce a parameter \u0027epsilon\u0027 that measures the amount of the\nlack of knowledge on the measurement process, and by varying this parameter, we\ndescribe a continuous evolution from a quantum structure (maximal lack of\nknowledge) to a classical structure (zero lack of knowledge). We show that for\nintermediate values of epsilon we find a new type of structure that is neither\nquantum nor classical. We analyze the quantum paradoxes and show that they can\nbe divided into two groups: (1) The group (measurement problem and Schrodingers\ncat paradox) where the paradoxical aspects arise mainly from the application of\nstandard quantum theory as a general theory (e.g. also describing the\nmeasurement apparatus). This type of paradox disappears in the hidden\nmeasurement formalism. (2) A second group collecting the paradoxes connected to\nthe effect of non-locality (the Einstein-Podolsky-Rosen paradox and the\nviolation of Bell inequalities). We show that these paradoxes are internally\nresolved because the effect of non-locality turns out to be a fundamental\nproperty of the hidden measurement formalism itself.",
"arxiv_id": "quant-ph/0105126",
"authors": [
"Diederik Aerts"
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],
"journal_ref": "International Journal of Theoretical Physics, 37, 291, 1998.",
"title": "The hidden measurement formalism: what can be explained and where quantum paradoxes remain",
"url": "https://arxiv.org/abs/quant-ph/0105126"
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