Periodic continued fraction representations of different quark’s mass ratios

L. Marek Crnjac

Chaos, Solitons & Fractals, 2005, vol. 25, issue 4, 807-814

Abstract: In the present work, first we give some theorems on continued fraction expansions. As shown in [Chaos, Solitons & Fractals 21 (2004) 9–19] the limit set of the Kleinian transformation acting on the E-infinity Cantorian space-time is a set of periodic continued fractions. We expand all possible quark’s mass ratios as periodic continued fractions and following [Chaos, Solitons & Fractals 22 (2004) 749–752], we establish that their vibrations are like fractal polylines.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:25:y:2005:i:4:p:807-814

DOI: 10.1016/j.chaos.2005.01.056

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