dorsal/arxiv
View SchemaResonances, Unstable Systems and Irreversibility: Matter Meets Mind
| Authors | Robert C. Bishop |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0506186 |
| URL | https://arxiv.org/abs/quant-ph/0506186 |
| DOI | 10.1007/s10773-005-8954-6 |
Abstract
The fundamental time-reversal invariance of dynamical systems can be broken in various ways. One way is based on the presence of resonances and their interactions giving rise to unstable dynamical systems, leading to well-defined time arrows. Associated with these time arrows are semigroups bearing time orientations. Usually, when time symmetry is broken, two time-oriented semigroups result, one directed toward the future and one directed toward the past. If time-reversed states and evolutions are excluded due to resonances, then the status of these states and their associated backwards-in-time oriented semigroups is open to question. One possible role for these latter states and semigroups is as an abstract representation of mental systems as opposed to material systems. The beginnings of this interpretation will be sketched.
{
"annotation_id": "47b1f124-1e35-432a-afb1-3c7a4ccb995b",
"date_created": "2026-03-02T18:02:17.265000Z",
"date_modified": "2026-03-02T18:02:17.265000Z",
"file_hash": "ed03558b725b2f63dde6175a371a6b84848c48b93edc479be0562752be46847a",
"private": false,
"record": {
"abstract": "The fundamental time-reversal invariance of dynamical systems can be broken\nin various ways. One way is based on the presence of resonances and their\ninteractions giving rise to unstable dynamical systems, leading to well-defined\ntime arrows. Associated with these time arrows are semigroups bearing time\norientations. Usually, when time symmetry is broken, two time-oriented\nsemigroups result, one directed toward the future and one directed toward the\npast. If time-reversed states and evolutions are excluded due to resonances,\nthen the status of these states and their associated backwards-in-time oriented\nsemigroups is open to question. One possible role for these latter states and\nsemigroups is as an abstract representation of mental systems as opposed to\nmaterial systems. The beginnings of this interpretation will be sketched.",
"arxiv_id": "quant-ph/0506186",
"authors": [
"Robert C. Bishop"
],
"categories": [
"quant-ph"
],
"doi": "10.1007/s10773-005-8954-6",
"title": "Resonances, Unstable Systems and Irreversibility: Matter Meets Mind",
"url": "https://arxiv.org/abs/quant-ph/0506186"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "7eeab318-d3aa-4f08-916e-8e2873de894d",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}