Unifying Ancient and Modern Geometries Through Octonions

被引：4

作者：

Catto, Sultan ^{[1
,2
]}

Gurcan, Yasemin ^{[3
]}

Khalfan, Amish ^{[4
]}

Kurt, Levent ^{[3
]}

机构：

[1] CUNY, Grad Sch, Dept Phys, New York, NY 10016 USA

[2] Rockefeller Univ, Theoret Phys Grp, 1230 York Ave, New York, NY 10021 USA

[3] CUNY, Dept Sci, Borough Manhattan CC, New York, NY 10007 USA

[4] CUNY, Dept Phys, LaGuardia CC, New York, NY 11101 USA

来源：

XXIII INTERNATIONAL CONFERENCE ON INTEGRABLE SYSTEMS AND QUANTUM SYMMETRIES (ISQS-23) | 2016年 / 670卷

关键词：

QUARK; MASSES;

D O I：

10.1088/1742-6596/670/1/012016

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We show the first unified description of some of the oldest known geometries such as the Pappus' theorem with more modern ones like Desargues' theorem, Monge's theorem and Ceva's theorem, through octonions, the highest normed division algebra in eight dimensions. We also show important applications in hadronic physics, giving a full description of the algebra of color applicable to quark physics, and comment on further applications.

引用

页数：9

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