Cumulative growth with fibonacci approach, golden section and physics

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dc.contributor.authorBuyukkilic, F.
dc.contributor.authorDemirhan, D.
dc.date.accessioned2019-10-27T20:48:47Z
dc.date.available2019-10-27T20:48:47Z
dc.date.issued2009
dc.departmentEge Üniversitesien_US
dc.description.abstractIn this study, a physical quantity belonging to a physical system in its stages of orientation towards growth has been formulated using Fibonacci recurrence approximation. Fibonacci p-numbers emerging in this process have been expressed as a power law for the first time as far as we are aware. The golden sections sp are related to the growth percent rates lambda(p). With this mechanism, the physical origins of the mathematical forms of e(q)(x) and ln(q)(x) encountered in Tsallis thermostatistics have been clarified. It has been established that Fibonacci p-numbers could be taken as elements of generalized random Cantor set. The golden section random cantor set is used by M. S. El Naschie in his fundamental works in high energy physics and is also considered in the present work. Moreover, we conclude that the cumulative growth mechanism conveys the consequences of the discrete structure of space and memory effect. (C) 2008 Elsevier Ltd. All rights reserved.en_US
dc.identifier.doi10.1016/j.chaos.2008.10.023
dc.identifier.endpage32en_US
dc.identifier.issn0960-0779
dc.identifier.issn0960-0779en_US
dc.identifier.issue1en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.startpage24en_US
dc.identifier.urihttps://doi.org/10.1016/j.chaos.2008.10.023
dc.identifier.urihttps://hdl.handle.net/11454/42766
dc.identifier.volume42en_US
dc.identifier.wosWOS:000271434200005en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherPergamon-Elsevier Science Ltden_US
dc.relation.ispartofChaos Solitons & Fractalsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.titleCumulative growth with fibonacci approach, golden section and physicsen_US
dc.typeArticleen_US

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