The Euclid space-time diagram of the theory of relativity

2014/06/03 by W. LiMing, LiMing, W.
Physics and Astronomy · #Advanced Mathematical Theories and Applications #FOS: Physical sciences #General Physics (physics.gen-ph) #Quantum Mechanics and Applications #Relativity and Gravitational Theory #physics.gen-ph

paper · pdf · doi:10.48550/arxiv.1408.1280

3 pages, 5 figures

arxiv created 2014/06/03 · openalex publication_date 2014/06/03 · arxiv updated 2014/08/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A conventional space-time diagram is r-ct one, which satisfies the Minkowski geometry. This geometry conflict the intuition from the Euclid geometry. In this work an Euclid space-time diagram is proposed to describe relativistic world lines with an exact Euclid geometry. The relativistic effects such as the dilation of moving clocks, the contraction of moving length, and the twin paradox can be geometrically expressed in the Euclid space-time diagram. It is applied to the case of a satellite clock to correct the gravitational effect. It is found that this Euclid space-time diagram is much more intuitive than the conventional space-time diagram.

Related

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• Extending the abilities of the Minkowski spacetime diagram
• The physics of space and time I: The description of rulers and clocks in uniform translational motion by Galilean or Lorentz transformations
• Space-time trigonometry and formalization of the "Twin Paradox" for uniform and accelerated motions
• The Clock Paradox in the Special Theory of Relativity