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- Bells_spaceship_paradox abstract "Bell's spaceship paradox is a thought experiment in special relativity. It was first designed by E. Dewan and M. Beran in 1959 and became more widely known when J. S. Bell included a modified version. A delicate string or thread hangs between two spaceships. Both spaceships now start accelerating simultaneously and equally as measured in the inertial frame S, thus having the same velocity at all times in S. Therefore they are all subject to the same Lorentz contraction, so the entire assembly seems to be equally contracted in the S frame with respect to the length at the start. Therefore at first sight it might appear that the thread will not break during acceleration.This argument, however, is incorrect as shown by Dewan & Beran and Bell. The distance between the spaceships does not undergo Lorentz contraction with respect to the distance at the start, because in S it is effectively defined to remain the same, due to the equal and simultaneous acceleration of both spaceships in S. It also turns out that the rest length between the two has increased in the frames in which they are momentarily at rest (S′), because the accelerations of the spaceships are not simultaneous here due to relativity of simultaneity. The thread, on the other hand, being a physical object held together by electrostatic forces, maintains the same rest length. Thus in frame S it must be Lorentz contracted, which result can also be derived when the electromagnetic fields of bodies in motion are considered. So, calculations made in both frames show that the thread will break; in S′ due to the non-simultaneous acceleration and the increasing distance between the spaceships, in S due to length contraction of the thread.In the following, the rest length or proper length of an object is its length measured in the object's rest frame. (This length corresponds to the proper distance between two events in the special case, when these events are measured simultaneously at the endpoints in the object's rest frame.)".
- Bells_spaceship_paradox thumbnail Dewan-Beran-Bell-Paradox.svg?width=300.
- Bells_spaceship_paradox wikiPageExternalLink spaceship_puzzle.html.
- Bells_spaceship_paradox wikiPageExternalLink index.html.
- Bells_spaceship_paradox wikiPageID "2870161".
- Bells_spaceship_paradox wikiPageLength "28750".
- Bells_spaceship_paradox wikiPageOutDegree "42".
- Bells_spaceship_paradox wikiPageRevisionID "677492510".
- Bells_spaceship_paradox wikiPageWikiLink Acceleration.
- Bells_spaceship_paradox wikiPageWikiLink Albert_Einstein.
- Bells_spaceship_paradox wikiPageWikiLink Angular_acceleration.
- Bells_spaceship_paradox wikiPageWikiLink Born_rigidity.
- Bells_spaceship_paradox wikiPageWikiLink CERN.
- Bells_spaceship_paradox wikiPageWikiLink Category:Physical_paradoxes.
- Bells_spaceship_paradox wikiPageWikiLink Category:Theory_of_relativity.
- Bells_spaceship_paradox wikiPageWikiLink Coulombs_law.
- Bells_spaceship_paradox wikiPageWikiLink Ehrenfest_paradox.
- Bells_spaceship_paradox wikiPageWikiLink Euclidean_geometry.
- Bells_spaceship_paradox wikiPageWikiLink General_relativity.
- Bells_spaceship_paradox wikiPageWikiLink Hendrik_Lorentz.
- Bells_spaceship_paradox wikiPageWikiLink History_of_Lorentz_transformations.
- Bells_spaceship_paradox wikiPageWikiLink Hyperbolic_motion_(relativity).
- Bells_spaceship_paradox wikiPageWikiLink Inertial_frame.
- Bells_spaceship_paradox wikiPageWikiLink Inertial_frame_of_reference.
- Bells_spaceship_paradox wikiPageWikiLink Inertial_reference_frame.
- Bells_spaceship_paradox wikiPageWikiLink Intermolecular_force.
- Bells_spaceship_paradox wikiPageWikiLink John_Stewart_Bell.
- Bells_spaceship_paradox wikiPageWikiLink Length_contraction.
- Bells_spaceship_paradox wikiPageWikiLink Liénard–Wiechert_potential.
- Bells_spaceship_paradox wikiPageWikiLink Loedel_diagram.
- Bells_spaceship_paradox wikiPageWikiLink Lorentz_contraction.
- Bells_spaceship_paradox wikiPageWikiLink Lorentz_transformation.
- Bells_spaceship_paradox wikiPageWikiLink Minkowski_diagram.
- Bells_spaceship_paradox wikiPageWikiLink Physical_paradox.
- Bells_spaceship_paradox wikiPageWikiLink Proper_distance.
- Bells_spaceship_paradox wikiPageWikiLink Proper_length.
- Bells_spaceship_paradox wikiPageWikiLink Relativistic_electromagnetism.
- Bells_spaceship_paradox wikiPageWikiLink Relativity_of_simultaneity.
- Bells_spaceship_paradox wikiPageWikiLink Rest_length.
- Bells_spaceship_paradox wikiPageWikiLink Richard_Feynman.
- Bells_spaceship_paradox wikiPageWikiLink Rindler_coordinates.
- Bells_spaceship_paradox wikiPageWikiLink Spacecraft.
- Bells_spaceship_paradox wikiPageWikiLink Special_relativity.
- Bells_spaceship_paradox wikiPageWikiLink Supplees_paradox.
- Bells_spaceship_paradox wikiPageWikiLink Thought_experiment.
- Bells_spaceship_paradox wikiPageWikiLink Twin_paradox.
- Bells_spaceship_paradox wikiPageWikiLink Velocity.
- Bells_spaceship_paradox wikiPageWikiLink File:Dewan-Beran-Bell-Paradox.svg.
- Bells_spaceship_paradox wikiPageWikiLink File:Dewan-Beran-Bell-Paradox2.svg.
- Bells_spaceship_paradox wikiPageWikiLinkText "Bell's spaceship paradox".
- Bells_spaceship_paradox wikiPageWikiLinkText "Bell's spaceships".
- Bells_spaceship_paradox align "right".
- Bells_spaceship_paradox backgroundColor "white".
- Bells_spaceship_paradox caption "Loedel diagram: Length between the ships in S′ after acceleration is longer than the previous length in S′, and longer than the unchanged length in S. The dashed lines indicate the broken string in S and S′.".
- Bells_spaceship_paradox caption "Minkowski diagram: The world lines of two observers A and B who accelerate in the same direction with the same constant magnitude acceleration. At A′ and B′, the observers stop accelerating. The dotted line is a "line of simultaneity" for either observer after acceleration stops.".
- Bells_spaceship_paradox direction "vertical".
- Bells_spaceship_paradox hasPhotoCollection Bells_spaceship_paradox.
- Bells_spaceship_paradox image "Bell observers experiment2.png".
- Bells_spaceship_paradox image "Dewan-Beran-Bell-Mink.svg".
- Bells_spaceship_paradox width "250".
- Bells_spaceship_paradox wikiPageUsesTemplate Template:Multiple_images.
- Bells_spaceship_paradox subject Category:Physical_paradoxes.
- Bells_spaceship_paradox subject Category:Theory_of_relativity.
- Bells_spaceship_paradox hypernym Experiment.
- Bells_spaceship_paradox type Organisation.
- Bells_spaceship_paradox comment "Bell's spaceship paradox is a thought experiment in special relativity. It was first designed by E. Dewan and M. Beran in 1959 and became more widely known when J. S. Bell included a modified version. A delicate string or thread hangs between two spaceships. Both spaceships now start accelerating simultaneously and equally as measured in the inertial frame S, thus having the same velocity at all times in S.".
- Bells_spaceship_paradox label "Bell's spaceship paradox".
- Bells_spaceship_paradox sameAs Bellsches_Raumschiffparadoxon.
- Bells_spaceship_paradox sameAs Paradoja_de_Bell.
- Bells_spaceship_paradox sameAs m.0881fn.
- Bells_spaceship_paradox sameAs Парадокс_Белла.
- Bells_spaceship_paradox sameAs Парадокс_Белла.
- Bells_spaceship_paradox sameAs Q816054.
- Bells_spaceship_paradox sameAs Q816054.
- Bells_spaceship_paradox wasDerivedFrom Bells_spaceship_paradoxoldid=677492510.
- Bells_spaceship_paradox depiction Dewan-Beran-Bell-Paradox.svg.
- Bells_spaceship_paradox isPrimaryTopicOf Bells_spaceship_paradox.