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| {{Information
| | I'm Luther but I never really favored that title. Alabama is where he and his spouse live and he has every thing that he requirements there. The preferred hobby for him and his kids is to generate and now he is trying to earn money with it. Interviewing is what I do in my working day job.<br><br>Feel free to visit my weblog [http://www.wandmanufaktur.de/index/users/view/id/3122 http://www.wandmanufaktur.de/index/users/view/id/3122] |
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| This figure depicts the graph of the nonzero component of the expansion tensor of the Bell observers discussed in [[Bell's spaceship paradox]], namely
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| :<math>\theta[\vec{X}]_{11} = \frac{k^2 \, T}{\sqrt{1 + k^2 \, T^2}}</math>.
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| As shown in the figure, near time zero, this is asymptotic to <math>k \, t</math> and as t grows without bound, it is asymptotic to the constant k. Here T is the coordinate time of a suitable Cartesian chart, but the component is measured by the Bell observers themselves and represents the rate at which they are moving apart from their neighbors in the common direction of acceleration. Since this rate approaches a constant, their mutual distance increases, unlike what happens in Newtonian mechanics. This is the basis for [[Bell's spaceship paradox]].
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| This png image was converted using eog from a jpeg image made using Maple by [[User:Hillman]].
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| | source = {{own}}
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| | date = 10 May 2006
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| | author = [[User:Hillman|Hillman]] ([[User talk:Hillman|talk]]) ([[Special:ListFiles/Hillman|Uploads]])
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| }}
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| {{ShouldBeSVG|graph}}
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| == Summary ==
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| This figure depicts the graph of the nonzero component of the expansion tensor of the Bell observers discussed in [[Bell's spaceship paradox]], namely
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| :<math>\theta[\vec{X}]_{11} = \frac{k^2 \, T}{\sqrt{1 + k^2 \, T^2}}</math>.
| |
| As shown in the figure, near time zero, this is asymptotic to <math>k \, t</math> and as t grows without bound, it is asymptotic to the constant k. Here T is the coordinate time of a suitable Cartesian chart, but the component is measured by the Bell observers themselves and represents the rate at which they are moving apart from their neighbors in the common direction of acceleration. Since this rate approaches a constant, their mutual distance increases, unlike what happens in Newtonian mechanics. This is the basis for [[Bell's spaceship paradox]].
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| This png image was converted using eog from a jpeg image made using Maple by [[User:Hillman]].
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| == Licensing ==
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| {{GFDL-self-with-disclaimers|migration=relicense}}
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| {{Copy to Wikimedia Commons|bot=Fbot}}
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I'm Luther but I never really favored that title. Alabama is where he and his spouse live and he has every thing that he requirements there. The preferred hobby for him and his kids is to generate and now he is trying to earn money with it. Interviewing is what I do in my working day job.
Feel free to visit my weblog http://www.wandmanufaktur.de/index/users/view/id/3122