Remarks on "singularities"
| dc.creator | Mallios, Anastasios | |
| dc.date | 2002-02-08 | |
| dc.date | 2002-10-19 | |
| dc.date.accessioned | 2026-07-07T03:26:40Z | |
| dc.date.available | 2026-07-07T03:26:40Z | |
| dc.description | We present herewith certain thoughts on the important subject of nowadays physics, pertaining to the so-called ``singularities'', that emanated from looking at the theme in terms of ADG (: abstract differential geometry). Thus, according to the latter perspective, we can involve ``singularities'' in our arguments, while still employing fundamental differential-geometric notions such as connections, curvature, metric and the like, retaining also the form of standard important relations of the classical theory (e.g. Einstein and/or Yang-Mills equations, in vacuum), even within that generalized context of ADG. To wind up, we can extend (in point of fact, {calculate) over singularities classical differential-geometric relations/equations, without altering their forms and/or changing the standard arguments; the change concerns thus only the way, we employ the usual differential geometry of smooth manifolds, so that the base ``space'' acquires now quite a secondary role, not contributing at all (!) to the differential-geometric technique/mechanism that we apply. Thus, the latter by definition refers directly to the objects being involved--the objects that ``live on that space'', which by themselves are not, of course, ipso facto ``singular''! | |
| dc.description | 30 pages, revised, updated and expanded version | |
| dc.identifier | https://arxiv.org/abs/gr-qc/0202028 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/0202028 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/34131 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.subject | Mathematical Physics | |
| dc.title | Remarks on "singularities" | |
| dc.type | text |