Periodic continued fraction representations of different quark's mass ratios

Abstract

Najprej zapišemo nekaj izrekov o verižnih ulomkih. Kot je bilo dokazano v (Chaos, Solitons and Fractals 2004; 21; 9-19) je limitna množica Kleinove transformacije, ki deluje na E-neskončno Cantorjevem prostoru, množica periodičnih verižnih ulomkov. Razvijemo vsa razmerja kvarkovih mas v periodične verižne ulomke in (po Chaos, Solitons and Fractals 2004; 22; 749-752) ugotovimo, da nihajo kot poligonska črta.

Keywords

matematika;E-neskončna teorija;masa kvarka;Kleinova transformacija;periodični verižni ulomek;mathematics;E-infinity theory;quark mass;Kleinian transformation;periodic continued fraction;

Data

Language:	English
Year of publishing:	2005
Typology:	1.01 - Original Scientific Article
Organization:	UM FS - Faculty of Mechanical Engineering
UDC:	517.9:53
COBISS:	9556758
ISSN:	0960-0779
Views:	806
Downloads:	82
Average score:	0 (0 votes)
Metadata:

Other data

Secondary language:	Unknown
Secondary title:	Predstavitev različnih kvarkovih masnih razmerij v obliki verižnih ulomkov
Secondary 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.
URN:	URN:SI:UM:
Type (COBISS):	Not categorized
Pages:	str. 807-814
Volume:	ǂVol. ǂ25
Issue:	ǂiss. ǂ4
Chronology:	2005
ID:	1471948