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A Curious Use of Extra Dimension in Classical Mechanics

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.

preprint2021arXivOpen access
Trung PhanAnh Doan
physics.ed-phphysics.class-ph
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Trung PhanAnh Doan

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