dorsal/arxiv
View SchemaQuantum mechanics and elements of reality
| Authors | Ulrich Mohrhoff |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9904081 |
| URL | https://arxiv.org/abs/quant-ph/9904081 |
Abstract
It is widely accepted that a Born probability of 1 is sufficient for the existence of a corresponding element of reality. Recently Vaidman has extended this idea to the ABL probabilities of the time-symmetrized version of quantum mechanics originated by Aharonov, Bergmann, and Lebowitz. Several authors have objected to Vaidman's time-symmetrized elements of reality without casting doubt on the widely accepted sufficiency condition for `ordinary' elements of reality. In this paper I show that while the proper truth condition for a quantum counterfactual is an ABL probability of 1, neither a Born probability of 1 nor an ABL probability of 1 is sufficient for the existence of an element of reality. The reason this is so is that the contingent properties of quantum-mechanical systems are extrinsic. To obtain this result, I need to discuss objective probabilities, retroactive causality, and the objectivity or otherwise of the psychological arrow of time. One consequence of the extrinsic nature of quantum-mechanical properties is that quantum mechanics presupposes property-defining actual events (or states of affairs) and therefore cannot be called upon to account for their occurrence (existence). Neither these events nor the correlations between them are capable of explanation, the former because they are causal primaries, the latter because they are fundamental: there are no underlying causal processes. Causal connections are something we project onto the statistical correlations, and this works only to the extent that statistical variations can be ignored. There are nevertheless important conclusions to be drawn from the quantum-mechanical correlations, such as the spatial nonseparability of the world.
{
"annotation_id": "3b0d266b-356f-4480-9bf7-885154841a30",
"date_created": "2026-03-02T18:02:45.123000Z",
"date_modified": "2026-03-02T18:02:45.123000Z",
"file_hash": "2f6326c292bc2034f7f85c60cf07a1f14e5d713ead6ce1805d78a7b2e93abe16",
"private": false,
"record": {
"abstract": "It is widely accepted that a Born probability of 1 is sufficient for the\nexistence of a corresponding element of reality. Recently Vaidman has extended\nthis idea to the ABL probabilities of the time-symmetrized version of quantum\nmechanics originated by Aharonov, Bergmann, and Lebowitz. Several authors have\nobjected to Vaidman\u0027s time-symmetrized elements of reality without casting\ndoubt on the widely accepted sufficiency condition for `ordinary\u0027 elements of\nreality. In this paper I show that while the proper truth condition for a\nquantum counterfactual is an ABL probability of 1, neither a Born probability\nof 1 nor an ABL probability of 1 is sufficient for the existence of an element\nof reality. The reason this is so is that the contingent properties of\nquantum-mechanical systems are extrinsic. To obtain this result, I need to\ndiscuss objective probabilities, retroactive causality, and the objectivity or\notherwise of the psychological arrow of time. One consequence of the extrinsic\nnature of quantum-mechanical properties is that quantum mechanics presupposes\nproperty-defining actual events (or states of affairs) and therefore cannot be\ncalled upon to account for their occurrence (existence). Neither these events\nnor the correlations between them are capable of explanation, the former\nbecause they are causal primaries, the latter because they are fundamental:\nthere are no underlying causal processes. Causal connections are something we\nproject onto the statistical correlations, and this works only to the extent\nthat statistical variations can be ignored. There are nevertheless important\nconclusions to be drawn from the quantum-mechanical correlations, such as the\nspatial nonseparability of the world.",
"arxiv_id": "quant-ph/9904081",
"authors": [
"Ulrich Mohrhoff"
],
"categories": [
"quant-ph"
],
"title": "Quantum mechanics and elements of reality",
"url": "https://arxiv.org/abs/quant-ph/9904081"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "41ea6b8b-323a-483c-8ddb-53e2ca660fdd",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}