The representation and determinable structure of quantum properties
Orthodox quantum theory tells us that properties of quantum systems are represented by self-adjoint operators, and that two properties are incompatible just in case their respective operators do not commute. We present a puzzle for this orthodoxy, pinpointing the exact assumptions at play. Our solut...
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| Veröffentlicht in: | Synthese (Dordrecht) 2024-07, Vol.204 (2), p.44, Article 44 |
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| creator | Fletcher, Samuel C. Taylor, David E. |
| description | Orthodox quantum theory tells us that properties of quantum systems are represented by self-adjoint operators, and that two properties are incompatible just in case their respective operators do not commute. We present a puzzle for this orthodoxy, pinpointing the exact assumptions at play. Our solution to the puzzle specifically challenges the assumption that non-commuting operators represent incompatible properties. Instead, they represent incompatible levels of specification of determinates for a single determinable. This solution yields insight into the nature of so-called quantum indeterminacy and demonstrates a new and fruitful application of the determinable-determinate relation in quantum theory. |
| doi_str_mv | 10.1007/s11229-024-04631-x |
| format | Article |
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| subjects | Discrete element method Education Epistemology Logic Mathematics Metaphysics Original Research Philosophy Philosophy of Language Philosophy of Science Quantum computing Quantum theory |
| title | The representation and determinable structure of quantum properties |
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