2013/01/01 by J. A. Nieto, Juan Antonio Nieto · 2 citations
Mathematics · Physics and Astronomy · #Algebra over a field #Algebraic and Geometric Analysis #Conjecture #Division (mathematics) #Generalization #Homotopy and Cohomology in Algebraic Topology #Mathematics and Applications #Rotation formalisms in three dimensions #Theory of relativity #physics.gen-ph
paper · pdf · doi:10.4236/jmp.2013.48a005
published in Journal of Modern Physics 04(08), 32-36 (Scientific Research Publishing) · 11 pages, Latex
openalex publication_date 2013/01/01 · arxiv created 2013/03/06 · arxiv updated 2014/08/27 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.