The connection between the order of simple groups and the maximum number of elementary particles

Marek-Crnjac, Leila

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Title:	The connection between the order of simple groups and the maximum number of elementary particles
Authors:	ID Marek-Crnjac, Leila (Author)
Files:	http://dx.doi.org/10.1016/j.chaos.2007.07.014
Language:	English
Work type:	Not categorized
Typology:	1.01 - Original Scientific Article
Organization:	FS - Faculty of Mechanical Engineering
Abstract:	Namen tega članka je predstaviti sferične, evklidske in hiperbolične poliedre in najti nekaj povezav reda njihovih grup zrcaljenj in grup, kot so na primer PGL(2,7), PGL(2,8), PGL(2,7) $times C_2$ , PSL(2,31) $times C_2$ , s številom elementarnih delcev. V tem delu pokažemo, da je večje število 72 ali 84 elementarnih delcev konsistentno s teorijo super strun, $M$ -teorijo in teorijo heterotičnih strun. Filozofija dela temelji na El Naschiejevi $E$ -neskončni interpretaciji izreka Emmy Nötherjeve.
Keywords:	Eulerjeva formula, Schläfijev simbol, enostavna grupa, grupa zrcaljenj, Euler's formula, Schläfi symbol, simple group, reflection group
Year of publishing:	2008
Number of pages:	str. 641-644
Numbering:	Vol. 35, iss. 4
PID:	20.500.12556/DKUM-51454
UDC:	512.54:530.145
ISSN on article:	0960-0779
COBISS.SI-ID:	11718166
NUK URN:	URN:SI:UM:DK:TDSGLKHL
Publication date in DKUM:	10.07.2015
Views:	1324
Downloads:	91
Metadata:
Categories:	Misc.
:	MAREK-CRNJAC, Leila, 2008, The connection between the order of simple groups and the maximum number of elementary particles. Chaos, solitons and fractals [online]. 2008. Vol. 35, no. 4, p. 641–644. [Accessed 14 March 2025]. Retrieved from: http://dx.doi.org/10.1016/j.chaos.2007.07.014 Copy citation

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Record is a part of a journal

Title:	Chaos, solitons and fractals
Publisher:	Pergamon
COBISS.SI-ID:	170011

Secondary language

Language:	Unknown
Title:	Povezava med redom enostavnih grup in maksimalnim številom elementarnih delcev
Abstract:	The aim of this article is to present spherical, Euclidean and hyperbolic polyhedra and find some connections of the order of their reflection groups and groups such as PGL(2, 7), PGL(2, 8), PGL(2, 7) $times C_2$ , PSL(2, 31) $times C_2$ to the number of elementary particles. In the present work we show that a larger number of 72 or 84 elementary particles is consistent with super string theory, $M$ -theory and heterotic string theory. The philosophy of the work is based on El Naschie's $E$ -infinity interpretation of Emmy Nöther's theorem.

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