dorsal/arxiv
View SchemaQuantum Physics and Classical Physics - in the Light of Quantum Logic
| Authors | Peter Mittelstaedt |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0211021 |
| URL | https://arxiv.org/abs/quant-ph/0211021 |
Abstract
In contrast to the Copenhagen interpretation we consider quantum mechanics as universally valid and query whether classical physics is really intuitive and plausible. - We discuss these problems within the quantum logic approach to quantum mechanics where the classical ontology is relaxed by reducing metaphysical hypotheses. On the basis of this weak ontology a formal logic of quantum physics can be established which is given by an orthomodular lattice. By means of the Soler condition and Piron's result one obtains the classical Hilbert spaces. - However, this approach is not fully convincing. There is no plausible justification of Soler's law and the quantum ontology is partly too weak and partly too strong. We propose to replace this ontology by an ontology of unsharp properties and conclude that quantum mechanics is more intuitive than classical mechanics and that classical mechanics is not the macroscopic limit of quantum mechanics.
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"abstract": "In contrast to the Copenhagen interpretation we consider quantum mechanics as\nuniversally valid and query whether classical physics is really intuitive and\nplausible. - We discuss these problems within the quantum logic approach to\nquantum mechanics where the classical ontology is relaxed by reducing\nmetaphysical hypotheses. On the basis of this weak ontology a formal logic of\nquantum physics can be established which is given by an orthomodular lattice.\nBy means of the Soler condition and Piron\u0027s result one obtains the classical\nHilbert spaces. - However, this approach is not fully convincing. There is no\nplausible justification of Soler\u0027s law and the quantum ontology is partly too\nweak and partly too strong. We propose to replace this ontology by an ontology\nof unsharp properties and conclude that quantum mechanics is more intuitive\nthan classical mechanics and that classical mechanics is not the macroscopic\nlimit of quantum mechanics.",
"arxiv_id": "quant-ph/0211021",
"authors": [
"Peter Mittelstaedt"
],
"categories": [
"quant-ph"
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"title": "Quantum Physics and Classical Physics - in the Light of Quantum Logic",
"url": "https://arxiv.org/abs/quant-ph/0211021"
},
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