Relativistic length evolution and breakdown of rigidity: a Minkowski diagram analysis
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초록

We analyze the length evolution of a uniformly accelerated rod from the perspective of an inertial frame moving at a constant velocity. Using Minkowski diagrams and Lorentz transformations, we show that a rod which appears rigid in one frame does not retain that rigidity in another. In the asymptotic limit, the rod's length approaches a constant proportional to the relativistic Doppler factor. These results underscore the breakdown of classical rigidity under relativistic conditions and offer a pedagogical framework for exploring relativistic kinematics in non-inertial systems.

키워드

special relativityMinkowski diagramborn rigidityLorentz contractionaccelerated motionLORENTZ CONTRACTIONBODY MOTION
제목
Relativistic length evolution and breakdown of rigidity: a Minkowski diagram analysis
저자
Lee, Jinho
DOI
10.1088/1361-6404/adf8a4
발행일
2025-09
유형
Article
저널명
European Journal of Physics
46
5