检验贝尔飞船悖论的思想实验
Gedanken experiment to test Bell's spaceship paradox
AI总结：
本文提出一个思想实验，探讨当放弃严格同步加速、允许绳中张力波动时，两艘飞船如何通过保持恒定固有距离实现无限加速而不断绳，从而改变贝尔飞船悖论的结论。
摘要：
在贝尔飞船悖论中，一根细绳连接两艘以相同加速度运动的飞船。当飞船同步加速时，由于相对论性收缩，绳中张力增加，最终导致绳子断裂。如果不是加速度完全匹配，而是绳中变化的张力引入了破坏同步加速的微小波动，会发生什么？这种对同步加速要求的放松极大地改变了两艘飞船的运动。在惊人的小速度下，两艘飞船开始以保持它们之间恒定固有距离的方式运动。这使得飞船能够无限加速而不断裂绳子。
英文摘要：
In Bell's spaceship paradox, a thread connects two spaceships moving with identical accelerations. As the ships accelerate in lockstep, the tension in the string increases due to the relativistic contraction and the string eventually breaks. What happens if instead of exactly matched accelerations, the changing tension in the string introduces small fluctuations that disrupt the lockstep acceleration? This relaxation of the requirement of lockstep acceleration dramatically changes the motion of the two ships. At a surprisingly small velocity, the two ships begin to move in a manner that maintains a constant proper distance between them. This allows the ships to accelerate indefinitely without breaking the string.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
