From: I. F. on 8 Jun 2010 15:01 hi, usually, if the time is dilated by K then one length is contracted by K, but in the general case, in general relativity, this is more complex, with many rotated charged bodies, stars, planets, black holes, and so on... is it ALWAYS true or can anyone prove that if the VOLUME is contracted by K, then the time is dilated by K? please reply this question!
From: BURT on 8 Jun 2010 15:32 On Jun 8, 12:01 pm, "I. F." <exformat...(a)gmail.com> wrote: > hi, > > usually, if the time is dilated by K then one length is contracted by > K, but in the general case, in general relativity, this is more > complex, with many rotated charged bodies, stars, planets, black > holes, and so on... > is it ALWAYS true or can anyone prove that if the VOLUME is contracted > by K, then the time is dilated by K? > > please reply this question! Length contraction is demonstrated by a shrinking train. But atoms that contract in size along the direction of motion create lopsided forces. It is like playing with lobsided marbles. It won't work. Lopsided atoms is wrong physics. There is no space contraction in SR or GR period. Mitch Raemsch
From: dlzc on 8 Jun 2010 16:26 Dear I. F.: On Jun 8, 12:01 pm, "I. F." <exformat...(a)gmail.com> wrote: > > usually, if the time is dilated by K then > one length is contracted by K, but in the > general case, in general relativity, this > is more complex, with many rotated charged > bodies, stars, planets, black holes, and > so on... > is it ALWAYS true or can anyone prove that > if the VOLUME is contracted by K, then the > time is dilated by K? > > please reply this question! Lots of good hits on Google with "general relativity" "time dilation" "volume contraction" OR "proper volume" .... such as http://www.springerlink.com/content/j3635v3g13434325/ .... may or may not be helpful: http://arxiv.org/abs/0908.1265 David A. Smith
From: Sue... on 8 Jun 2010 16:49 On Jun 8, 3:01 pm, "I. F." <exformat...(a)gmail.com> wrote: > hi, > > usually, if the time is dilated by K then one length is contracted by > K, but in the general case, in general relativity, this is more > complex, with many rotated charged bodies, stars, planets, black > holes, and so on... > is it ALWAYS true or can anyone prove that if the VOLUME is contracted > by K, then the time is dilated by K? > > please reply this question! The proof is one of pure mathematics, like: "prove there are 90 degrees in a right angle". To satisfy yourself about what the volume represents physically, you can navigate from the actual statement in the derivation and find where the volume is filled with charges that have energy. The below lectures are well commented where easily recognisable physical equalities are used. <<Since time is dilated by a factor $\gamma$ in a moving frame, the volume of space-time can only be preserved if the volume of ordinary 3-space is reduced by the same factor. As is well-known, this is achieved by length contraction along the direction of motion by a factor $\gamma$ >> http://farside.ph.utexas.edu/teaching/em/lectures/node114.html This is another good starting place to explore the formalism: http://en.wikipedia.org/wiki/Stress-energy_tensor Happy translating, transforming and rotating. http://en.wikipedia.org/wiki/Noether%27s_theorem#Applications Sue...
From: BURT on 8 Jun 2010 17:00 On Jun 8, 1:49 pm, "Sue..." <suzysewns...(a)yahoo.com.au> wrote: > On Jun 8, 3:01 pm, "I. F." <exformat...(a)gmail.com> wrote: > > > hi, > > > usually, if the time is dilated by K then one length is contracted by > > K, but in the general case, in general relativity, this is more > > complex, with many rotated charged bodies, stars, planets, black > > holes, and so on... > > is it ALWAYS true or can anyone prove that if the VOLUME is contracted > > by K, then the time is dilated by K? > > > please reply this question! > > The proof is one of pure mathematics, like: NO. It is theory. Particle accelerator scientsists simply put it in by hand. There is no way they can see what the particle sees. Lopsidedness of the fundamental atom form proves there is no contraction. I'll will argue anyone on that account. There are no flat atoms. Mitch Raemsch > "prove there are 90 degrees in a right angle". > > To satisfy yourself about what the volume > represents physically, you can navigate from the > actual statement in the derivation and > find where the volume is filled with > charges that have energy. The below > lectures are well commented where easily > recognisable physical equalities are used. > > <<Since time is dilated by a factor $\gamma$ > in a moving frame, the volume of space-time > can only be preserved if the volume of ordinary > 3-space is reduced by the same factor. As is > well-known, this is achieved by length > contraction along the direction of motion > by a factor $\gamma$ >>http://farside.ph.utexas.edu/teaching/em/lectures/node114.html > > This is another good starting place to > explore the formalism:http://en.wikipedia.org/wiki/Stress-energy_tensor > > Happy translating, transforming and rotating.http://en.wikipedia.org/wiki/Noether%27s_theorem#Applications > > Sue...
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