dorsal/arxiv
View SchemaA general mathematical structure for the time-reversal operator
| Authors | Mario Alberto Castagnino, Adolfo Ramon Ordoniez, Daniela Beatriz Emmanuele |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0103132 |
| URL | https://arxiv.org/abs/quant-ph/0103132 |
Abstract
The aim of this work is the mathematical analysis of the physical time-reversal operator and its definition as a geometrical structure\QTR{bf}{, }in such a way that it could be generalized to the purely mathematical realm. Rigorously, only having such a ``time-reversal structure'' it can be decided whether a dynamical system is time-symmetric or not.\QTR{it}{\}The ``time-reversal structures'' of several important physical and mathematical examples are presented, showing that there are some mathematical categories whose objects are the (classical or abstract) ``time-reversal systems'' and whose morphisms generalize the Wigner transformation.
{
"annotation_id": "8ad9c170-af12-4089-a829-34ee75daf9fb",
"date_created": "2026-03-02T18:01:41.709000Z",
"date_modified": "2026-03-02T18:01:41.709000Z",
"file_hash": "a0d3db98d57a8b41ac11acefcec08b8c45e52a446fc5af0508bb96dcdb0a9c06",
"private": false,
"record": {
"abstract": "The aim of this work is the mathematical analysis of the physical\ntime-reversal operator and its definition as a geometrical structure\\QTR{bf}{,\n}in such a way that it could be generalized to the purely mathematical realm.\nRigorously, only having such a ``time-reversal structure\u0027\u0027 it can be decided\nwhether a dynamical system is time-symmetric or not.\\QTR{it}{\\}The\n``time-reversal structures\u0027\u0027 of several important physical and mathematical\nexamples are presented, showing that there are some mathematical categories\nwhose objects are the (classical or abstract) ``time-reversal systems\u0027\u0027 and\nwhose morphisms generalize the Wigner transformation.",
"arxiv_id": "quant-ph/0103132",
"authors": [
"Mario Alberto Castagnino",
"Adolfo Ramon Ordoniez",
"Daniela Beatriz Emmanuele"
],
"categories": [
"quant-ph"
],
"title": "A general mathematical structure for the time-reversal operator",
"url": "https://arxiv.org/abs/quant-ph/0103132"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "b96e27de-980a-4939-9992-7a04daa8dd6d",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}