dorsal/arxiv
View SchemaInteraction and Entanglement in the Multiparticle Spacetime Algebra
| Authors | Timothy F. Havel, Chris J. L. Doran |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0106063 |
| URL | https://arxiv.org/abs/quant-ph/0106063 |
Abstract
The multiparticle spacetime algebra (MSTA) is an extension of Dirac theory to a multiparticle setting, which was first studied by Doran, Gull and Lasenby. The geometric interpretation of this algebra, which it inherits from its one-particle factors, possesses a number of physically compelling features, including simple derivations of the Pauli exclusion principle and other nonlocal effects in quantum physics. Of particular importance here is the fact that all the operations needed in the quantum (statistical) mechanics of spin 1/2 particles can be carried out in the ``even subalgebra'' of the MSTA. This enables us to ``lift'' existing results in quantum information theory regarding entanglement, decoherence and the quantum/classical transition to space-time. The full power of the MSTA and its geometric interpretation can then be used to obtain new insights into these foundational issues in quantum theory. A system of spin 1/2 particles located at fixed positions in space, and interacting with an external magnetic field and/or with one another via their intrinsic magnetic dipoles provides a simple paradigm for the study of these issues. This paradigm can further be easily realized and studied in the laboratory by nuclear magnetic resonance spectroscopy.
{
"annotation_id": "8ae821a9-ed34-4dcc-82c6-c1578a2cc6d0",
"date_created": "2026-03-02T18:01:44.854000Z",
"date_modified": "2026-03-02T18:01:44.854000Z",
"file_hash": "4ee1649c5089a61693828190e32c3b3a8dd1264389b3c72c9e693a7358da1e6a",
"private": false,
"record": {
"abstract": "The multiparticle spacetime algebra (MSTA) is an extension of Dirac theory to\na multiparticle setting, which was first studied by Doran, Gull and Lasenby.\nThe geometric interpretation of this algebra, which it inherits from its\none-particle factors, possesses a number of physically compelling features,\nincluding simple derivations of the Pauli exclusion principle and other\nnonlocal effects in quantum physics. Of particular importance here is the fact\nthat all the operations needed in the quantum (statistical) mechanics of spin\n1/2 particles can be carried out in the ``even subalgebra\u0027\u0027 of the MSTA. This\nenables us to ``lift\u0027\u0027 existing results in quantum information theory regarding\nentanglement, decoherence and the quantum/classical transition to space-time.\nThe full power of the MSTA and its geometric interpretation can then be used to\nobtain new insights into these foundational issues in quantum theory. A system\nof spin 1/2 particles located at fixed positions in space, and interacting with\nan external magnetic field and/or with one another via their intrinsic magnetic\ndipoles provides a simple paradigm for the study of these issues. This paradigm\ncan further be easily realized and studied in the laboratory by nuclear\nmagnetic resonance spectroscopy.",
"arxiv_id": "quant-ph/0106063",
"authors": [
"Timothy F. Havel",
"Chris J. L. Doran"
],
"categories": [
"quant-ph"
],
"title": "Interaction and Entanglement in the Multiparticle Spacetime Algebra",
"url": "https://arxiv.org/abs/quant-ph/0106063"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "138978c5-65dc-4fe9-ad27-1d9e9af9ae31",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}