dorsal/arxiv
View SchemaThe Violation of Bell Inequalities in the Macroworld
| Authors | Diederik Aerts, Sven Aerts, Jan Broekaert, Liane Gabora |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0007044 |
| URL | https://arxiv.org/abs/quant-ph/0007044 |
| DOI | 10.1023/A:1026449716544 |
| Journal | Foundations of Physics, Vol. 30(10), 2000 |
Abstract
We show that Bell inequalities can be violated in the macroscopic world. The macroworld violation is illustrated using an example involving connected vessels of water. We show that whether the violation of inequalities occurs in the microworld or in the macroworld, it is the identification of nonidentical events that plays a crucial role. Specifically, we prove that if nonidentical events are consistently differentiated, Bell-type Pitowsky inequalities are no longer violated, even for Bohm's example of two entangled spin 1/2 quantum particles. We show how Bell inequalities can be violated in cognition, specifically in the relationship between abstract concepts and specific instances of these concepts. This supports the hypothesis that genuine quantum structure exists in the mind. We introduce a model where the amount of nonlocality and the degree of quantum uncertainty are parameterized, and demonstrate that increasing nonlocality increases the degree of violation, while increasing quantum uncertainty decreases the degree of violation.
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"abstract": "We show that Bell inequalities can be violated in the macroscopic world. The\nmacroworld violation is illustrated using an example involving connected\nvessels of water. We show that whether the violation of inequalities occurs in\nthe microworld or in the macroworld, it is the identification of nonidentical\nevents that plays a crucial role. Specifically, we prove that if nonidentical\nevents are consistently differentiated, Bell-type Pitowsky inequalities are no\nlonger violated, even for Bohm\u0027s example of two entangled spin 1/2 quantum\nparticles. We show how Bell inequalities can be violated in cognition,\nspecifically in the relationship between abstract concepts and specific\ninstances of these concepts. This supports the hypothesis that genuine quantum\nstructure exists in the mind. We introduce a model where the amount of\nnonlocality and the degree of quantum uncertainty are parameterized, and\ndemonstrate that increasing nonlocality increases the degree of violation,\nwhile increasing quantum uncertainty decreases the degree of violation.",
"arxiv_id": "quant-ph/0007044",
"authors": [
"Diederik Aerts",
"Sven Aerts",
"Jan Broekaert",
"Liane Gabora"
],
"categories": [
"quant-ph",
"q-bio.NC"
],
"doi": "10.1023/A:1026449716544",
"journal_ref": "Foundations of Physics, Vol. 30(10), 2000",
"title": "The Violation of Bell Inequalities in the Macroworld",
"url": "https://arxiv.org/abs/quant-ph/0007044"
},
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