Is time continuous?
| dc.creator | Varotsos, P. A. | |
| dc.date | 2006-05-18 | |
| dc.date.accessioned | 2026-07-07T07:09:02Z | |
| dc.date.available | 2026-07-07T07:09:02Z | |
| dc.description | Conventional time is modelled as the one dimensional continuum R^1 of real numbers. This continuity, however, does {\em not} stem from {\em any} fundamental principle. On the other hand, natural time is {\em not} continuous and its values as well as those of the energy, form {\em countable} sets, i.e., with cardinalities either finite or equal to \aleph_0, where this symbol stands for the {\em transfinite} number of natural numbers. For infinitely large number of events, the values of natural time form a {\em denumerable} set, i.e., its cardinality is exactly \aleph_0, while those of conventional time an {\em uncountable} set. This has a drastically larger cardinality, which in the light of the continuum hypothesis becomes equal to 2^{\aleph_0}. | |
| dc.description | 5-pages 1-figure To be submitted to Physical Review Letters | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0605456 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0605456 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/110921 | |
| dc.subject | Other Condensed Matter | |
| dc.title | Is time continuous? | |
| dc.type | text |