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On the Energy of Dynamical Force Fields via Bishop Vector Fields in Minkowski Space E4 1

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In this study, we firstly define equations of motion based on the traditional Newtonian mechanics in terms of the parallel frame adapted to the worldline of the moving particle in Minkowski space E4 1. Then, we compute energy on the moving timelike particle in a resultant force field by using geometrical descriptions of the curvature and the torsion of the wordline belonging to the particle in the space. We also investigate the relationship between energy on the moving timelike particle in different force fields and energy on the moving timelike particle in parallel vector fields.
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Keywords: DYNAMICS SYSTEM; ENERGY; FORCE; MINKOWSKI SPACE; PARALLEL VECTOR FIELD

Document Type: Research Article

Publication date: September 1, 2018

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  • Journal of Advanced Physics is an interdisciplinary peer-reviewed journal consolidating research activities in all experimental and theoretical aspects of advanced physics. The journal aims in publishing articles of novel and frontier physics that merit the attention and interest of the whole physics community. JAP publishes review articles, full research articles, short communications of important new scientific and technological findings in all latest research aspects of physics.
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