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Relativistic length evolution and breakdown of rigidity: a Minkowski diagram analysis
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0초록
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 relativity; Minkowski diagram; born rigidity; Lorentz contraction; accelerated motion; LORENTZ CONTRACTION; BODY MOTION
- 제목
- Relativistic length evolution and breakdown of rigidity: a Minkowski diagram analysis
- 저자
- Lee, Jinho
- 발행일
- 2025-09
- 유형
- Article
- 권
- 46
- 호
- 5