A Curious Use of Extra Dimension in Classical Mechanics

Trung Phan; Anh Doan

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arXiv · 2105.05399

A Curious Use of Extra Dimension in Classical Mechanics

Trung Phan·Anh Doan

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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.

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Trung Phan, Anh Doan. 2021-05-12. A Curious Use of Extra Dimension in Classical Mechanics. https://arxiv.org/abs/2105.05399

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