A Curious Use of Extra Dimension in Classical Mechanics
Classical Physics
2022-02-24 v2 Physics Education
Abstract
Extra dimensions can be utilized to simplify problems in classical mechanics, offering new insights. Here we show a simple example of how the motion of a test particle under the influence of an inverse-quadratic potential in 1D is equivalent to that of another test particle moving freely in 2D Euclidean space and 3D Minkowskian space.
Keywords
Cite
@article{arxiv.2105.05399,
title = {A Curious Use of Extra Dimension in Classical Mechanics},
author = {Trung Phan and Anh Doan},
journal= {arXiv preprint arXiv:2105.05399},
year = {2022}
}