Higher dimensional dodecahedra as models of the macro and micro universe in E-infinity Cantorian space-time

Abstract

Najprej napravimo kratek povzetek o Platonskih telesih, predvsem o različnih dodekaedrih. Keplerjeva in Dodekaedrska domneva sta velikega pomena, posebno pri Poincaréjevem dodekaedrskem prostoru, ki je predstavljen kot kozmološki model. Prikažemo nekatere lastnosti 120-celičnega Coxeterjevega politopa. E-neskončno Cantorjev prostor-čas lahko obravnavamo kot mehko (fuzzy) verzijo hiperbolične mnogoterosti, ki bazira na 120-celičnem Coxeterjevem politopu. Topologijo mehkih 4-dimenzionalnih politopov uporabimo za pridobitev informacije o številu elementarnih delcev v standardnem modelu fizike visokih energij.

Keywords

Keplerjeva domneva;Dodekaedrska domneva;120-celični Coxeterjev politop;Poincaréjev dodekaedrski prostor;Kepler's Conjecture;Dodecahedral Conjecture;120-cell Coxeter polytop;Poincaré dodecahedron space;

Data

Language:	English
Year of publishing:	2007
Typology:	1.01 - Original Scientific Article
Organization:	UM FS - Faculty of Mechanical Engineering
UDC:	512.54:514.172.45
COBISS:	11021078
ISSN:	0960-0779
Views:	1104
Downloads:	100
Average score:	0 (0 votes)
Metadata:

Other data

Secondary language:	English
Secondary title:	Višje dimenzionalni dodekaedri kot model za makro in mikro univerzum v E-neskončno Cantorjevem prostor-času
Secondary abstract:	In this work we present a summary about Platonic solids, specially about different dodecahedra. Kepler's Conjecture and the Dodecahedral Conjecture are of a great importance in circle searching, specially in the Poincaré dodecahedron space as a cosmological model. Some properties of the 120-cell Coxeter polytop are presented. E-infinity Cantorian space-time may be regarded as a fuzzy version of a hyperbolic manifold based on the 120-cell Coxeter polytop. The topology of fuzzy 4-dimensional polytops are used to give information about the number of the elementary particles in the standard model of high energy physics.
Secondary keywords:	matematika;
URN:	URN:SI:UM:
Pages:	str. 944-950
Volume:	ǂVol. ǂ32
Issue:	ǂiss. ǂ3
Chronology:	2007
ID:	8718637