A PHYSICAL APPROACH TO LAGRANGIAN EQUATIONS WITH BUNDLE STRUCTURE FOR MINKOWSKI 3-SPACE

Authors : Cansel Aycan, Sibel Paşalı Atmaca, Hatice Nur Koç

Pages : 146-157

Doi:10.33773/jum.1560371

View : 35 | Download : 57

Publication Date : 2024-12-29

Article Type : Research Paper

Abstract :Minkowski 3-space is important because it is the spatial structure in which physical events occur. Therefore, in this study, we examined the time-dependent Lagrangian energy equations in Minkowski 3-space. To facilitate the examination of the necessary mechanical structure and solutions with respect to time, we employed the jet bundle structure. This approach has made the creation of the necessary geometric structures more comprehensible in terms of coordinate basis. To interpret the obtained Lagrangian energy equations and to understand the significance of the time parameter, an example is also provided in our study.
Keywords : jet bundles, minkowski space, lagrange energy equations, mechanical energy system