Division-Algebras/Poincare-Conjecture Correspondence

• 作者: Juan Antonio Nieto
• 来源期刊: 现代物理(英文)
• 学科: 数学
• 关键词: Division ALGEBRA POINCARÉ CONJECTURE n-Qubit Theory
• 年，卷（期）: 2013,（8）
• 页码范围: 32-36
• 页数: 5页
• 分类号: O1

摘要

We briefly describe the importance of division algebras and Poincaré conjecture in both mathematical and physical scenarios. Mathematically, we argue that using the torsion concept one can combine the formalisms of division algebras and Poincaré conjecture. Physically, we show that both formalisms may be the underlying mathematical tools in special relativity and cosmology. Moreover, we explore the possibility that by using the concept of n-qubit system, such conjecture may allow generalization the Hopf maps.