Beyond classic mechanics: multiplicative mechanics of magnetic particles in De-Sitter 2-space

Abstract

This paper presents a new concept of multiplicative mechanics, which offers an alternative to classical mechanics. Multiplicative calculus, a mathematical framework that deals with multiplicative derivatives and integrals, is used to develop this new approach. In this paper, we provide a detailed characterization of the geometry of curves in De Sitter 2-space and demonstrate how this framework can be used to represent the motion of charged particles. We present several geometric and physical-based calculations to show the effectiveness of our approach in modeling the motion of charged particles. The results of this study suggest that multiplicative mechanics has the potential to pave the way for new discoveries and insights into the workings of the universe. We believe that this approach will attract more attention and further research in this area, ultimately leading to the development of more advanced models and techniques in various scientific disciplines.