2015/11/12 by Abolfazl Jafari, Jafari, Abolfazl
Computer Science · Mathematics · Physics and Astronomy · #Advanced Algebra and Logic #FOS: Physical sciences #General Physics (physics.gen-ph) #Mathematical Inequalities and Applications #Quantum Mechanics and Applications
paper · pdf · doi:10.48550/arxiv.1511.05820
openalex publication_date 2015/11/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we establish and employ a local framework to the first order of Riemann's curvature tensor in order to develop the corresponding coordinate non commutativity into general manifolds. We also exploit a new translation of function at the level of quantum mechanics to show that the final correlation result of the generalized non commutativity is a mixture of the Canonical and Quadratic formalisms and does not consist only of the Lie algebraic formalism. The basic premise of this article is that the geometry of a four-dimensional pseudo Riemann manifold representing space time, is homeomorphic to Minkowski space time.