Group theory aspects of chaotic strings
[摘要] Chaotic strings are a special type of non-hyperbolic coupled map lattices, exhibiting a rich structure of complex dynamical phenomena with a surprising correspondence to physical contents. Chaotic strings are generated by the Chebyshev maps T2(φ) and T3(φ). In this paper we connect the Chebyshev maps via the Galois theory to the cyclic groups Z2and Z3and give some ideas how this fundamental connection might lead to the emergence of the familiar Lie group structure of particle physics and, finally, even to the emergence of space-time. The Z3-graded cubic and ternary algebras presented here have been introduced by R. Kerner in 1991 and then developed and elaborated in collaboration with many researches. We present here the most important results associated with these papers.
[发布日期] [发布机构] Institut für Physik, Johannes-Gutenberg-Universität, Staudinger Weg 7, Mainz; 55099, Germany^1;Füüsika Instituut, Tartu Ülikool, Ravila 4c, Tartu; 50411, Estonia^2
[效力级别] 数学 [学科分类]
[关键词] Chebyshev map;Coupled map lattices;Cyclic group;Dynamical phenomena;Galois theory;Group structure;Rich structure;Space time [时效性]
