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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…

经典物理 · 物理学 2025-07-14 Len Zane

Relativistic rigid motion suggests a new version for the so-called `twin paradox', comparing the ages of two astronauts on a very long spaceship. Although there is always an instantaneous inertial frame in which the whole spaceship, being…

广义相对论与量子宇宙学 · 物理学 2017-01-12 Uri Ben-Ya'acov

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…

综合物理 · 物理学 2020-07-09 Ralph Berger

We analyse the Bell paradox from the point of view of an inertial referential frame and from the one of an accelerated frame. We calculate the distance between the two accelerated spaceships as it appears in each referential and we show…

综合物理 · 物理学 2017-10-25 Jean-Marie Vigoureux , Michel Langlois

Relativistic kinematics is usually considered only as a manifestation of pseudo-Euclidean (Lorentzian) geometry of space-time. However, as it is explicitly stated in General Relativity, the geometry itself depends on dynamics, specifically,…

经典物理 · 物理学 2020-04-17 Moses Fayngold

We study the Dewan-Beran-Bell thought experiment of two spaceships connected by a thread that start accelerated motion and discuss the proper length of the thread by means of Born's definition of proper length for arbitrary motion.

经典物理 · 物理学 2021-05-12 Jesús Ceresuela , Josep Llosa

In the standard formulation of the twin paradox an accelerated twin considers himself as at rest and his brother as moving. Hence, when formulating the twin paradox, one uses the general principle of relativity, i.e. that accelerated and…

综合物理 · 物理学 2010-02-23 Oyvind Gron

Relativistic length contraction is revisited and a simple but new thought experiment is proposed in which an apparent asymmetric situation is developed between two different inertial frames regarding detection of light that comes from a…

经典物理 · 物理学 2021-11-02 Biplab Raychaudhuri , Souvik Ghose , Arunabha Bhadra

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 of a rigid body. We have tried to write…

经典物理 · 物理学 2015-05-13 Jerrold Franklin

For over a century Minkowskian spacetime has dominated discussions of space contraction and time dilation within special relativity. Brown and Pooley have called into question both the assumptions of Minkowski and the effects his presumed…

物理学史与哲学 · 物理学 2016-12-06 Paul A. Klevgard

A new apparent relativistic paradox is presented involving only one space-time event. This is different from earlier relativistic paradoxes involving extended bodies or events at different positions. A collision between a rod and a ring…

综合物理 · 物理学 2022-02-03 Oyvind Gron , Eirik Berntsen

A nomenclature for inertial frames and a notation for space and time coordinates is proposed to give an unambigous description of space-time experiments in special relativity. Of particular importance are the concepts of `base' and…

综合物理 · 物理学 2011-11-08 J. H. Field

The proposal is submitted for the measurement of the relativistic length contraction using the nanoscopic dumbbell moving in LHC or ILC. Some paradoxes concerning the length contraction and simultaneity are discussed. The dynamical states…

综合物理 · 物理学 2008-09-23 Miroslav Pardy

The twin paradox is the best known thought experiment associated with Einstein's theory of relativity. An astronaut who makes a journey into space in a high-speed rocket will return home to find he has aged less than a twin who stayed on…

广义相对论与量子宇宙学 · 物理学 2009-11-02 J. -P. Luminet

In an apparently unexplored region of relativistic spacetime, a simple thought experiment demonstrates that conjoined Lorentz transformations predict a proper clock at rest will run backwards and that prediction violates the logical…

天体物理学 · 物理学 2007-05-23 Charles B. Leffert

We discuss the twin paradox or the clock paradox under the small velocity approximation of special relativity. In this paper the traveller twin of the standard twin parable sets out with a non-relativistic speed for the trip leaving behind…

广义相对论与量子宇宙学 · 物理学 2007-05-23 S. K. Ghosal , Saroj Nepal , Debarchana Das

In Supplee's submarine paradox, a naive argument based on Lorentz contraction leads to a contradiction that a fast submarine should sink in the water's reference frame but float in the submarine's reference frame. Due to the submarine's…

广义相对论与量子宇宙学 · 物理学 2024-06-19 Hrvoje Nikolic

Some known relativistic paradoxes are reconsidered for closed spaces, using a simple geometric model. For two twins in a closed space, a real paradox seems to emerge when the traveling twin is moving uniformly along a geodesic and returns…

综合物理 · 物理学 2015-04-08 Moses Fayngold

Recently Abramowicz and Bajtlik [ArXiv: 0905.2428 (2009)] have studied the twin paradox in Schwarzschild spacetime. Considering circular motion they showed that the twin with a non-vanishing 4-acceleration is older than his brother at the…

广义相对论与量子宇宙学 · 物理学 2011-09-21 O. Gron , S. Braeck

It has been more than a century since first Lorentz and later Einstein explored relativistic events and still important consequences of that remains unclear to everybody. The present study extensively focus on Lorentz (Length) contraction…

综合物理 · 物理学 2010-01-25 Bayram Akarsu
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