Arithmetic of Plane Cremona Transformations and the Dimensions of Transfinite Heterotic String Space-Time

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dc.creatorSaniga, Metod
dc.date2001-05-16
dc.date.accessioned2026-07-07T11:11:54Z
dc.date.available2026-07-07T11:11:54Z
dc.descriptionIt is shown that the two sequences of characteristic dimensions of transfinite heterotic string space-time found by El Naschie can be remarkably well accounted for in terms of the arithmetic of self-conjugate homaloidal nets of plane algebraic curves of orders 3 to 20. A firm algebraic geometrical justification is thus given not only for all the relevant dimensions of the classical theory, but also for other two dimensions proposed by El Naschie, viz. the inverse of quantum gravity coupling constant (~42.36067977) and that of (one half of) fine structure constant (~68.54101967). A non-trivial coupling between the two El Naschie sequences is also revealed.
dc.description4 pages, no figures, accepted in Chaos, Solitons & Fractals
dc.identifierhttps://arxiv.org/abs/physics/0105049
dc.identifierhttp://arxiv.org/abs/physics/0105049
dc.identifierChaosSolitonsFractals13:1537-1540,2001
dc.identifierdoi:10.1016/S0960-0779(01)00125-4
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/191251
dc.subjectGeneral Physics
dc.titleArithmetic of Plane Cremona Transformations and the Dimensions of Transfinite Heterotic String Space-Time
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