Relativity and Cosmology

    

A Geometric Interpretation of Lorentz Length Contraction Using an Inscribed Triangle in a Circle

Authors: Mikheili Mindiashvili

This paper focuses not on deriving the Lorentz length contraction from first principles, but on providing a geometric visualization of this well-known relativistic phenomenon. The aim is to offer an intuitive and accessible interpretation through a simple construction: a right triangle inscribed in a circle. In this model, the observed contraction of a moving rod’s length as a function of velocity is illustrated geometrically. While the Lorentz contraction is formally derived via Lorentz transformations, the approach presented here serves as a complementary visual tool that may be particularly useful for educational purposes.

Comments: 6 Pages.

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Submission history

[v1] 2025-06-26 20:10:32

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