The continuum problem and reality

dc.creatorYaremchuk, O.
dc.date2002-04-16
dc.date2004-06-15
dc.date.accessioned2026-07-07T06:03:59Z
dc.date.available2026-07-07T06:03:59Z
dc.descriptionSet-theoretical, physical, and intuitive notions of continuum are compared. It is shown that the independence of the continuum hypothesis determines status and properties of the set of intermediate cardinality. The intermediate set is a hierarchy of non-equivalent infinite sets. Its description consist of autonomous theories. In particular, quantum mechanics, classical mechanics, and geometrical optics should be regarded as components of the complete description of the intermediate set. The intermediate sets may be produced as a result of a fission of a continuous interval. The simplest schemes of the fission are considered. Some analogy with the Standard Model is pointed out.
dc.description16 pages, no figures
dc.identifierhttps://arxiv.org/abs/quant-ph/0204090
dc.identifierhttp://arxiv.org/abs/quant-ph/0204090
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/90144
dc.subjectQuantum Physics
dc.titleThe continuum problem and reality
dc.typetext

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