• Corpus ID: 220403283

A Simple Relativity Solution to the Bell Spaceship Paradox

@article{Berger2020ASR,
  title={A Simple Relativity Solution to the Bell Spaceship Paradox},
  author={Ralph Berger},
  journal={arXiv: General Physics},
  year={2020}
}
  • R. Berger
  • Published 13 June 2020
  • Physics
  • arXiv: General Physics
The Bell Spaceship Paradox has promoted confusion and numerous resolutions since its first statement in 1959, including resolutions based on relativistic stress due to Lorentz contractions. The paradox is that two ships, starting from the same reference frame and subject to the same acceleration, would snap a string that connected them, even as their separation distance would not change as measured from the original reference frame. This paper uses a Simple Relativity approach to resolve the… 

References

SHOWING 1-10 OF 27 REFERENCES
Some Paradoxes in Special Relativity and the Resolutions
The special theory of relativity is the foundation of modern physics, but its unusual postulate of invariant vacuum speed of light results in a number of plausible paradoxes. This situation leads to
Accelerating spaceships paradox and physical meaning of length contraction
A fifty-year old apparently paradoxical thought experiment involving two accelerating spaceships and a thread that connects them states that the thread will break due to length contraction. This
Bell's Spaceships Problem and the Foundations of Special Relativity
Recent ‘dynamical’ approaches to relativity by Harvey Brown and his colleagues have used John Bell's own solution to a problem in relativity which has in the past sometimes been called ‘Bell's
A Geometrical Approach to Relativistic Paradoxes
A geometrical method is proposed to clarify misconceptions regarding the so-called “stress effects due to Lorentz contraction” that have recently raised discussions in this Journal. The method is
Lorentz contraction, Bell’s spaceships and rigid body motion in special relativity
The meaning of Lorentz contraction in special relativity and its connection with Bell's spaceships parable is discussed. The motion of Bell's spaceships is then compared with the accelerated motion
Bell’s Spaceships: The Views from Bow and Stern
Abstract Unravelling apparent paradoxes has proven to be a powerful tool for understanding the complexities of special relativity. In this paper, we focus upon one such paradox, namely Bell’s
How do two moving clocks fall out of sync? A tale of trucks, threads, and twins
In special relativity, a pair of clocks synchronized in their own reference frame are not synchronized in another. How do two clocks, initially synchronized and at rest in the laboratory frame, fall
Relativistic elasticity of rigid rods and strings
We show that the equation of motion for a rigid one-dimensional elastic body (i.e. a rod or string whose speed of sound is equal to the speed of light) in a two-dimensional spacetime is simply the
Special relativity for beginners: A Textbook for Undergraduates
The Postulates of Special Relativity Time Dilation Length Contraction Lorentz Transformation in 1-3 Dimensions Minkowski Diagrams Simultaneity Velocity Addition Aberration of Light Accelerated Motion
Lorentz contraction and accelerated systems
The paper discusses the problem of the Lorentz contraction in accelerated systems, in the context of the special theory of relativity. Equal proper accelerations along different world lines are
...
...