TITLE:
Division-Algebras/Poincare-Conjecture Correspondence
AUTHORS:
Juan Antonio Nieto
KEYWORDS:
Division Algebra; Poincaré Conjecture; n-Qubit Theory
JOURNAL NAME:
Journal of Modern Physics,
Vol.4 No.8A,
August
20,
2013
ABSTRACT: 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.