dorsal/arxiv
View SchemaOn Cremonian Dimensions Qualitatively Different from Time and Space
| Authors | Metod Saniga |
|---|---|
| Categories | |
| ArXiv ID | physics/0409115 |
| URL | https://arxiv.org/abs/physics/0409115 |
| DOI | 10.1016/j.chaos.2005.01.010 |
| Journal | Chaos Solitons Fractals 25 (2005) 515-520 |
Abstract
We examine a particular kind of six-dimensional Cremonian universe featuring one dimension of space, three dimensions of time and other two dimensions that can*not* be ranked as either time or space. One of these two, generated by a one-parametric aggregate of (straight-)lines lying on a quadratic cone, is more similar to the spatial dimension. The other, represented by a singly-parametrical set of singular space quartic curves situated on a proper ruled quadric surface, bears more resemblance to time. Yet, the two dimensions differ profoundly from both time and space because, although being macroscopic, they are not accessible to (detectable by) every Cremonian observer. This toy-model thus demonstrates that there might exist extra-dimensions that need not necessarily be compactified to remain unobservable.
{
"annotation_id": "fc7763e7-0274-4039-8a84-a5f5bbb87bbe",
"date_created": "2026-03-02T18:00:53.578000Z",
"date_modified": "2026-03-02T18:00:53.578000Z",
"file_hash": "bd18555fea6af453cd3ea3d6d2fe5fa975195df3cececf367f2641b49a39d63b",
"private": false,
"record": {
"abstract": "We examine a particular kind of six-dimensional Cremonian universe featuring\none dimension of space, three dimensions of time and other two dimensions that\ncan*not* be ranked as either time or space. One of these two, generated by a\none-parametric aggregate of (straight-)lines lying on a quadratic cone, is more\nsimilar to the spatial dimension. The other, represented by a\nsingly-parametrical set of singular space quartic curves situated on a proper\nruled quadric surface, bears more resemblance to time. Yet, the two dimensions\ndiffer profoundly from both time and space because, although being macroscopic,\nthey are not accessible to (detectable by) every Cremonian observer. This\ntoy-model thus demonstrates that there might exist extra-dimensions that need\nnot necessarily be compactified to remain unobservable.",
"arxiv_id": "physics/0409115",
"authors": [
"Metod Saniga"
],
"categories": [
"physics.gen-ph"
],
"doi": "10.1016/j.chaos.2005.01.010",
"journal_ref": "Chaos Solitons Fractals 25 (2005) 515-520",
"title": "On Cremonian Dimensions Qualitatively Different from Time and Space",
"url": "https://arxiv.org/abs/physics/0409115"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "2942c0c2-55ce-4751-85a7-709e9c8c0f32",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}