dorsal/arxiv
View SchemaAny is not all: EPR and the Einstein-Tolman-Podolsky paper
| Authors | Charles Tresser |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0503006 |
| URL | https://arxiv.org/abs/quant-ph/0503006 |
Abstract
In Bohm's version of the EPR gedanken experiment, the spin of the second particle along any vector is minus the spin of the other particle along the same vector. It seems that either the choice of vector along which one projects the spin of the first particle influences at superluminal speed the state of the second particle, or naive realism holds true i.e., the projections of the spin of any EPR particle along all the vectors are determined before any measurement occurs). Naive realism is negated by Bell's theory that originated and is still most often presented as related to non-locality, a relation whose necessity has recently been proven to be false. I advocate here that the solution of the apparent paradox lies in the fact that the spin of the second particle is determined along any vector, but not along all vectors. Such an any-all distinction was already present in quantum mechanics, for instance in the fact that the spin can be measured along any vector but not at once along all vectors, as a result of the Uncertainty Principle. The time symmetry of the any-all distinction defended here is in fact reminiscent of (and I claim, due to) the time symmetry of the Uncertainty Principle described by Einstein, Tolman, and Podolsky in 1931, in a paper entitled ``Knowledge of Past and Future in Quantum Mechanics" that is enough to negate naive realism and to hint at the any-all distinction. A simple classical model is next built, which captures aspects of the any-all distinction: the goal is of course not to have a classical exact model, but to provide a caricature that might help some people.
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"abstract": "In Bohm\u0027s version of the EPR gedanken experiment, the spin of the second\nparticle along any vector is minus the spin of the other particle along the\nsame vector. It seems that either the choice of vector along which one projects\nthe spin of the first particle influences at superluminal speed the state of\nthe second particle, or naive realism holds true i.e., the projections of the\nspin of any EPR particle along all the vectors are determined before any\nmeasurement occurs). Naive realism is negated by Bell\u0027s theory that originated\nand is still most often presented as related to non-locality, a relation whose\nnecessity has recently been proven to be false. I advocate here that the\nsolution of the apparent paradox lies in the fact that the spin of the second\nparticle is determined along any vector, but not along all vectors. Such an\nany-all distinction was already present in quantum mechanics, for instance in\nthe fact that the spin can be measured along any vector but not at once along\nall vectors, as a result of the Uncertainty Principle. The time symmetry of the\nany-all distinction defended here is in fact reminiscent of (and I claim, due\nto) the time symmetry of the Uncertainty Principle described by Einstein,\nTolman, and Podolsky in 1931, in a paper entitled ``Knowledge of Past and\nFuture in Quantum Mechanics\" that is enough to negate naive realism and to hint\nat the any-all distinction. A simple classical model is next built, which\ncaptures aspects of the any-all distinction: the goal is of course not to have\na classical exact model, but to provide a caricature that might help some\npeople.",
"arxiv_id": "quant-ph/0503006",
"authors": [
"Charles Tresser"
],
"categories": [
"quant-ph"
],
"title": "Any is not all: EPR and the Einstein-Tolman-Podolsky paper",
"url": "https://arxiv.org/abs/quant-ph/0503006"
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