dorsal/arxiv
View SchemaTime and classical and quantum mechanics: Indeterminacy vs. discontinuity
| Authors | Peter Lynds |
|---|---|
| Categories | |
| ArXiv ID | physics/0310055 |
| URL | https://arxiv.org/abs/physics/0310055 |
| Journal | Foundations of Physics Letters, 16(4), 343-355, 2003 |
Abstract
It is postulated there is not a precise static instant in time underlying a dynamical physical process at which the relative position of a body in relative motion or a specific physical magnitude would theoretically be precisely determined. It is concluded it is exactly because of this that time (relative interval as indicated by a clock) and the continuity of a physical process is possible, with there being a necessary trade off of all precisely determined physical values at a time, for their continuity through time. This explanation is also shown to be the correct solution to the motion and infinity paradoxes, excluding the Stadium, originally conceived by the ancient Greek mathematician Zeno of Elea. Quantum Cosmology, Imaginary Time and Chronons are also then discussed, with the latter two appearing to be superseded on a theoretical basis.
{
"annotation_id": "512d7e5b-ba6c-48f4-bcfd-023656c7961e",
"date_created": "2026-03-02T18:00:46.230000Z",
"date_modified": "2026-03-02T18:00:46.230000Z",
"file_hash": "5d706334026ac44a3173eb0e1d6d0fcc6337ce5075bd96d05d4cfac0662599f8",
"private": false,
"record": {
"abstract": "It is postulated there is not a precise static instant in time underlying a\ndynamical physical process at which the relative position of a body in relative\nmotion or a specific physical magnitude would theoretically be precisely\ndetermined. It is concluded it is exactly because of this that time (relative\ninterval as indicated by a clock) and the continuity of a physical process is\npossible, with there being a necessary trade off of all precisely determined\nphysical values at a time, for their continuity through time. This explanation\nis also shown to be the correct solution to the motion and infinity paradoxes,\nexcluding the Stadium, originally conceived by the ancient Greek mathematician\nZeno of Elea. Quantum Cosmology, Imaginary Time and Chronons are also then\ndiscussed, with the latter two appearing to be superseded on a theoretical\nbasis.",
"arxiv_id": "physics/0310055",
"authors": [
"Peter Lynds"
],
"categories": [
"physics.gen-ph"
],
"journal_ref": "Foundations of Physics Letters, 16(4), 343-355, 2003",
"title": "Time and classical and quantum mechanics: Indeterminacy vs. discontinuity",
"url": "https://arxiv.org/abs/physics/0310055"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "bf1ea6d5-a0fa-4142-995d-986885314d7a",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}