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  #301 (permalink)  
Old 22-June-2004, 05:23 PM
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In the “closed curve” thought experiment of Section 4, the K observer sees the K’ clock move in the closed curve, while the K’ observer sees the K clock move in the closed curve, so there is no “turn-around” of any single clock in SR theory.
Here it is, in the last paragraph of that Section 4: "If one of two synchronous clocks at A is moved in a closed curve with constant velocity until it returns to A"

You can't move in a closed curve without turning around. And "one" means "single".
He doesn’t consider acceleration in the 1905 SR theory, and the theory also has either system and either clock as being considered the “stationary” one to the observers that remain with it. If an observer remains with K then he sees the K’ clock move in the “closed curve”. If he remains with K’ then he sees the K clock move in a closed curve.

It was probably this thought experiment that caused him to start thinking about accelerative effects, and of course he later concluded, as Lorentz had done many years before him, that an accelerated atomic clock would tick slower than a non-accelerated one.

You can find his progression of papers related to acceleration in Volumes 2 through 5 of the “Collected Papers” series.

When he finally worked out the acceleration effects on atomic clocks, then the paradox disappears, since only one clock really accelerates and slows down, and the slow clock sees the fast clock tick fast, while the fast clock sees the slow clock tick slow.

But he hasn’t gotten that far yet in the premature, impetuous, an precociously erroneous SR theory of 1905, and his 1905 errors led to his 1905 paradox.


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Are you seriously saying that you think the top and the bottom of the pyramid experience the same acceleration due to gravity?

He doesn’t consider acceleration in the 1905 SR theory, and the theory also has either system and either clock as being considered the “stationary” one to the observers that remain with it. If an observer remains with K then he sees the K’ clock move in the “closed curve”. If he remains with K’ then he sees the K clock move in a closed curve.

It was probably this thought experiment that caused him to start thinking about accelerative effects, and of course he later concluded, as Lorentz had done many years before him, that an accelerated atomic clock would tick slower than a non-accelerated one.

You can find his progression of papers related to acceleration in Volumes 2 through 5 of the “Collected Papers” series.

When he finally worked out the acceleration effects on atomic clocks, then the paradox disappears, since only one clock really accelerates and slows down, and the slow clock sees the fast clock tick fast, while the fast clock sees the slow clock tick slow.

But he hasn’t gotten that far yet in the premature, impetuous, an precociously erroneous SR theory of 1905, and his 1905 errors led to his 1905 paradox.
I notice that you posted the same response to both items, but it doesn't really seem appropriate to either.

In the first response, it is yourself that is misinterpreting the Einstein paper, not Einstein. He got that part right--but you keep insisting on a misinterpretation of the theory in order to insist that it's wrong. That's your fault, no one else's.

In the second response, I'm baffled. You brought up the pyramids--and we were discussing general relativity effects. I'm not sure what that stuff about special relativity has to do with it.
  #302 (permalink)  
Old 22-June-2004, 05:35 PM
kjavds kjavds is offline
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Here's an example of the Twin Paradox resolved with SR alone
http://sysmatrix.net/~kavs/kjs/addend4.html
There is no “Stella-come-Alf” in the 1905 paper. There are no three moving systems. There is no third party adopting a second party’s clock reading as they move in opposite directions relative to one another. There are no space buoys stationary relative to the earth. There is no earth. In the “closed curve” thought experiment of Section 4, the K observer sees the K’ clock move in the closed curve, while the K’ observer sees the K clock move in the closed curve, so there is no “turn-around” of any single clock in SR theory.
Since your post of 18 Jun 2004 00:18 you mentioned Einstein's "Section 4" but I don't know what's your beef because 12 pages is a lot of chatter indeed. I understand Relativity, circular paths or straight, and I disagree that there is any *unresolved* paradox. But circular path scenarios must be resolved with GR, there's no choice. Try me.

Personally I don't know why you have to constantly quote hundred-year old Einstein texts, since Relativity is finely polished NOW and hangs tough, and Einstein isn't the end-all be-all authority to cite.

Here's a good blurb I put together: bingo
  #303 (permalink)  
Old 22-June-2004, 05:43 PM
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Originally Posted by Sam5
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Originally Posted by kjavds
Here's an example of the Twin Paradox resolved with SR alone
http://sysmatrix.net/~kavs/kjs/addend4.html
There is no “Stella-come-Alf” in the 1905 paper. There are no three moving systems. There is no third party adopting a second party’s clock reading as they move in opposite directions relative to one another. There are no space buoys stationary relative to the earth. There is no earth. In the “closed curve” thought experiment of Section 4, the K observer sees the K’ clock move in the closed curve, while the K’ observer sees the K clock move in the closed curve, so there is no “turn-around” of any single clock in SR theory.
Since your post of 18 Jun 2004 00:18 you mentioned Einstein's "Section 4" but I don't know what's your beef because 12 pages is a lot of chatter indeed. I understand Relativity, circular paths or straight, and I disagree that there is any *unresolved* paradox. But circular path scenarios must be resolved with GR, there's no choice. Try me.

Personally I don't know why you have to constantly quote hundred-year old Einstein texts, since Relativity is finely polished NOW and hangs tough, and Einstein isn't the end-all be-all authority to cite.

Here's a good blurb I put together: bingo
Nice website kjavds. Although somehow I think it will be futile in some aspects. :roll: But I still like it! =D>
  #304 (permalink)  
Old 22-June-2004, 05:49 PM
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But circular path scenarios must be resolved with GR, there's no choice. Try me.
I think that's Sam5's contention. But that's not strictly true.

A circular path scenario was even expressed in Einstein's original 1905 paper, and he worked it out neatly.
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Personally I don't know why you have to constantly quote hundred-year old Einstein texts, since Relativity is finely polished NOW and hangs tough, and Einstein isn't the end-all be-all authority to cite.
Sam5 has made some assertions about errors in early Einstein papers, and some of us are disputing those assertions.
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Old 22-June-2004, 05:49 PM
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I notice that you posted the same response to both items, but it doesn't really seem appropriate to either.
Sorry. I had a guy talking to me while I was tring to post, and I did not format correctly. I’m busy now. I’ll get back to you later. In order for me to answer the questions of four or five guys, I’ll need a little time to consider their questions.
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Old 22-June-2004, 05:50 PM
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In the first response, it is yourself that is misinterpreting the Einstein paper, not Einstein. He got that part right--but you keep insisting on a misinterpretation of the theory in order to insist that it's wrong. That's your fault, no one else's.
We keep telling him that, but he just won't accept it.

Quote:
Originally Posted by kjavds
But circular path scenarios must be resolved with GR, there's no choice.
Not "must". It's easier with GR, but you can do it with SR. Einstein did it with SR in Section 4 of the 1905 paper, in fact.

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Originally Posted by Sam5
In order for me to answer the questions of four or five guys, I’ll need a little time to consider their questions.
Your only response to my question has been, "You answer your own question, Sean!" so I hope you're not including me in the "four or five guys."

Maybe I'm the fifth guy.
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  #307 (permalink)  
Old 22-June-2004, 06:00 PM
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swansont, sorry, but you're wrong in this. You have to have the observing camera in motion to see any simultaneity effects; just changing its location won't affect simultaneity as relativity sees it. This is analogous to when we talk of measing time dilation with frequencies; the classical, "naive" effects have already been removed from the situation so that only the effects we're interested in remain.
I think maybe you aren't seeing the point I'm trying to make. At this point I'm only trying to show that the finite speed of light has implications on measurements. I haven't added motion to the mix.
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  #308 (permalink)  
Old 22-June-2004, 06:08 PM
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I notice that you posted the same response to both items, but it doesn't really seem appropriate to either.
Sorry. I had a guy talking to me while I was tring to post, and I did not format correctly. I’m busy now. I’ll get back to you later.
Take your time.

I'm going to go over and look at the spires, I thought I saw some hobbits earlier.
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Old 22-June-2004, 06:16 PM
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Default Re: How do theories like relativity hold up with paradoxes?

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I think we’ve settled who won the race and where to place a single camera to show that the race was a tie. That position above the finish line, and equal distance from each of the two horse’s noses.
If that's what you think then nothing has been settled.
I was basing my central camera position on your diagram, which clearly showed the two horses in a tie. Now you’re trying to claim your diagram wasn’t accurate and it wasn’t really a tie.


Quote:
The problem that you have avoided addressing is how does one decide beforehand - without knowing where the horses will end up - which camera is the correct one.

By saying that you have to put the camera in the middle of the two horses, you are essentially solving a simple equation to tell you what you want to know, and you are arbitrarily choosing a frame of reference to the jusge. But this camera position would change from race to race.
Yeah, so? Everyone already knows that. We don't need "relativity" to tell us that. Anyway, the races only judge accuracy within .01 of a second. They disregard nanoseconds.
You claim these are "little jokes" and yet you post them anyway, as if they are serious comments. It's irrelevant to the discussion. It's unfathomable to me that a reasonable person can look at an ASCII text "diagram" and treat it like a detailed drawing - I only drew it because you were talking about perspective and optical illusions, and wanted to make it clear that the cameras were on the finish line.

But you interpreted it differently, despite the supporting text that made the situation clear. And you spend an inordinate amount of time on irrelevent minutia instead of the concepts. Why am I not surprised at this?
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  #310 (permalink)  
Old 22-June-2004, 06:51 PM
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Are you
Why don’t you explain to us why and how the top of the space shuttle will separate from the bottom when the rocket is pushing up from the bottom? I would like to hear about how that happens.

Also, explain why you said Bob wasn’t “moving” on your website, when you knew that he was?

I’ll answer your questions later when I have time.
  #311 (permalink)  
Old 22-June-2004, 07:27 PM
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Why don’t you explain to us why and how the top of the space shuttle will separate from the bottom when the rocket is pushing up from the bottom? I would like to hear about how that happens.
He didn't say that. Go back and read it again. He said if there were different engines providing the same acceleration at the front and the back, it would separate.

In fact, he specifically said, "Well, if you're going to push from behind, it's going to be hard to separate, I agree."

And again, you're not helping yourself when you do this. Why would anyone accept that you're not misunderstanding the 1905 paper when you continuously misunderstand simple stuff like this?

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Also, explain why you said Bob wasn’t “moving” on your website, when you knew that he was?
The whole point of General Relativity is that any reference frame can be considered to be motionless. When Bob is considered motionless, he's not moving. That's not too tough, is it?

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I’ll answer your questions later when I have time.
Here's a suggestion. Stop wasting your precious time coming here and asking more questions and instead work on those answers.
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  #312 (permalink)  
Old 22-June-2004, 07:34 PM
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Are you
Why don’t you explain to us why and how the top of the space shuttle will separate from the bottom when the rocket is pushing up from the bottom? I would like to hear about how that happens.
I already said that wouldn't happen.
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Also, explain why you said Bob wasn’t “moving” on your website, when you knew that he was?
We've already discussed this, too. (We both need that Evelyn Woods course)

That's just relativity. Different reference frames are allowed. In one reference frame, he moves. In another, he doesn't.

This is really basic stuff...it goes way back, before Newton. He called it Galilean relativity.
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I’ll answer your questions later when I have time.
I have another one for you. I looked back through the thread for the previous discussion, and I found this post of yours where you quote part of a post by SeanF, and then chastise him for trying to ignore part of a paper. I missed this the first time--but your quote leaves off a bunch of the context, and changes the meaning of what he said. Reading his post, it doesn't have anything to do with ignoring parts of that paper. Do you think that's fair?
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Old 22-June-2004, 09:41 PM
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Also, explain why you said Bob wasn’t “moving” on your website, when you knew that he was?
We've already discussed this, too. (We both need that Evelyn Woods course)

That's just relativity. Different reference frames are allowed. In one reference frame, he moves. In another, he doesn't.
Well, look, I assume Bob is “not moving” relative to his clothes, but you have him moving relative to “at home”, so he will experience some acceleration, so you can force his atomic clock to tick slower than Ann’s, so don’t you think you should tell your readers that he really is “moving” relative to "at home", rather than “not moving”?
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Old 22-June-2004, 10:15 PM
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Also, explain why you said Bob wasn’t “moving” on your website, when you knew that he was?
We've already discussed this, too. (We both need that Evelyn Woods course)

That's just relativity. Different reference frames are allowed. In one reference frame, he moves. In another, he doesn't.
Well, look, I assume Bob is “not moving” relative to his clothes, but you have him moving relative to “at home”, so he will experience some acceleration, so you can force his atomic clock to tick slower than Ann’s, so don’t you think you should tell your readers that he really is “moving” relative to "at home", rather than “not moving”?
Eh?

Let's see, here's the page...

In the middle of the second paragraph, it says "Ann stays at home and Bob rockets away at 3/5 light speed."

In the first sentence of the third paragraph, it says "What if we make the step to general relativity, and insist on analyzing the situation as if Bob did not move at all?"

What are you missing?
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Old 23-June-2004, 12:49 AM
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Eh?

Let's see, here's the page...

What are you missing?
In your "example" (ie. your SR resolution at http://mentock.home.mindspring.com/twins.htm) you ("you".. that's your site, right?) state, "Bob zooms off after Ann at 15/17 light speed (now we know why it was important), and of course catches up. It takes him 4 years, and he has seen 8 years since Ann left. Ann has aged 10 years. Same result. No paradox."

You fail to even address how Ann ended up aging ten years! yeah, we NEED that info or we don't believe your conclusion: "No paradox".

You also claim on your main (twin2.htm) page that Bob ages less due to Time Dilation. I balk at that. My SR-only resolution found at http://ezrelativity.com, Addendum IV, correctly attributes the aging difference to relativistic Time Dissynchronicity BECAUSE dilation effects are still covariant -- so THEY cannot play that role.
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Old 23-June-2004, 12:52 AM
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Here it is, in the last paragraph of that Section 4: "If one of two synchronous clocks at A is moved in a closed curve with constant velocity until it returns to A"

snip

Not all, but a lot. You've said that math leads to mistakes. It's not math's fault.

No, I said that the professor’s emphasis on the math and not on the conceptual aspects of his thought experiment is what led to his mistake about the A clock “ticking faster”. He neglected the Doppler effects of the light signal and he made some other conceptual mistakes. He relied on the math and the light signals, and that led him astray. If he had used the more direct method of the dropping marbles, he would have realized his error. I’ve always said that if the conceptual stuff is not correct and not understood, the math, perfect though it might be, is useless, such as in Section 4 of the SR theory.

Regarding the “closed curve”, you seem to think that Einstein was thinking that the clock slowed down during the closed curve. I’ve read in several books that acceleration does not affect balance clocks in that way, like it affects atomic clocks, and, anyway, Einstein wasn’t read yet for acceleration considerations in 1905.

“So far we have applied the principle of relativity, i.e., the assumption that the physical laws are independent of the state of motion of the reference system, only to nonaccelerated reference systems. Is it conceivable that the principle of relativity also applies to systems that are accelerated relative to each other?” A. Einstein, 1905 (“Collected Papers, Vol. 4, page 301)

I think it would help if your understanding of this difficult subject if you would buy a few more pertinent books.
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Old 23-June-2004, 01:04 AM
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Well, look, I assume Bob is “not moving” relative to his clothes, but you have him moving relative to “at home”, so he will experience some acceleration, so you can force his atomic clock to tick slower than Ann’s, so don’t you think you should tell your readers that he really is “moving” relative to "at home", rather than “not moving”?
Eh?

Let's see, here's the page...

In the middle of the second paragraph, it says "Ann stays at home and Bob rockets away at 3/5 light speed."

In that paragraph you are re-capping your “special” relativity page. Then in the next paragraph you go on to the GR theory. Then you say Bob doesn’t move and isn’t resting in a gravity field, but he experiences acceleration. This can be confusing to students who don’t know you and aren’t familiar with your verbose rhetorical prolixity and textual machinations.
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Old 23-June-2004, 01:09 AM
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Originally Posted by Sam5 had another 'moment' and
I think it would help if your understanding of this difficult subject if you would buy a few more pertinent books.
I think it might be best if you bought a few pertinent books on math before you start slinging such barbs.
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Old 23-June-2004, 01:10 AM
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Your only response to my question has been, "You answer your own question, Sean!" so I hope you're not including me in the "four or five guys."
I’ve been answering your questions since last November. What do you want to know now? There are several people ahead of you.
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Old 23-June-2004, 01:22 AM
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As long as we're aware of what conditions must hold for our thought experiment to work, there should be no deviation of reality and our expectations.
Let me ask you this. If we have a track 20 yards wide (meters or whatever), and we’ve got about 15 horses, where do we set up what kind of camera(s) to get the most accurate finish-line photos for nano-second accuracy?

I think we’ll have to go to a series of maybe 30-50 digital cameras stretched across the track directly over the finish line, looking down, with white reflective tape on the ground representing the finish line. We run the cameras all by a single master clock and each is set to go off as soon as it sees a nose cross the finish line. We time-stamp the images and run them through a computer, which will assemble them in descending order, showing the first horse at the top of the screen and the last horse at the bottom. Instead of relying on our visual judgement, we use the nano-second time stamp to determine the winner. Any suggestions?
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Old 23-June-2004, 01:30 AM
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Since your post of 18 Jun 2004 00:18 you mentioned Einstein's "Section 4" but I don't know what's your beef because 12 pages is a lot of chatter indeed.
Well, a couple of guys and I have been chatting about horse races and how best to arrange cameras to most accurately capture pictures of the true finish.

It is the first Section 4 thought experiment that led to the modern so-called “twins paradox”. But the way the paradox is most commonly pretended to be “solved” today is by adding “the earth”, and two living people. One of them “blasts off” into space, and the acceleration slows down his atomic clock. This, of course, does not resolve the first Section 4 paradox of the 1905 SR theory.
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Old 23-June-2004, 01:47 AM
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Note that he isn't using K' for anything whatsoever before the velocity is imparted. He's not describing a physical process here, but describing how K and K' work, step by step. You cannot use the same mathematics for a K' that isn't moving wrt K and one that is - physically, they're two different systems. So when you look at things in K', you must realise that this system is moving wrt K regardless of when you examine things in it. No accelerating coordinate systems are permitted in SR, so if you want to change the motion of an object and stay with it, you have to define another coordinate system.
I didn't write the theory, he did.

He is the one who first had the K and K’ systems overlap before the motion began, not me. He “imparted” a “velocity” to K’ but he didn’t say how. No acceleration was involved. This is a hypothetical theory. He just went from 0 v to some v, just like that. No acceleration, no rockets, no traction. The “imparting” of the motion did not use any “force” or “acceleration”. I’ve alaready said there are errors in the theory, but they are his errors, not mine.

Section 3:
”Now to the origin of one of the two systems (K’) let a constant velocity v be imparted in the direction of the increasing x of the other stationary system (K), and let this velocity be communicated to the axes of the co-ordinates, the relevant measuring-rod, and the clocks.”
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Old 23-June-2004, 01:58 AM
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Originally Posted by Sam5
But the way the paradox is most commonly pretended to be “solved” today is by adding “the earth”, and two living people. One of them “blasts off” into space, and the acceleration slows down his atomic clock. This, of course, does not resolve the first Section 4 paradox of the 1905 SR theory.
That is a gross mischaracterisation. The words that milli360 and Einstein use may be different, their labels against the different entities may not be the same, but the math used is the same, and the results match up.
I don't expect you to understand that.
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Old 23-June-2004, 05:28 AM
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I don't expect
All space bodies in the universe are moving relative to the earth. Under SR theory, that means, since we are here at the earth where clocks tick "normally" and all clocks that are moving relative to the earth tick slower than normal, the earth has the fastest clocks in the universe. Do you believe that all other clocks in the universe tick slower than earth clocks?
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Old 23-June-2004, 05:36 AM
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Case in point. I didn't expect you to understand.
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Old 23-June-2004, 05:47 AM
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Case in point. I didn't expect you to understand.
That statement is meaningless. Explain where you think I am wrong. People on this thread have said that M31 clocks runs slower than Milky Way clocks, so if all clocks are moving relative to earth clocks, then according to SR then all clocks in the universe run slower than earth clocks.
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Old 23-June-2004, 05:50 AM
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kjavds:
You fail to even address how Ann ended up aging ten years! yeah, we NEED that info or we don't believe your conclusion: "No paradox".
10 years and a time dilation of 80% is 8 years. It's all in there.
Quote:
You also claim on your main (twin2.htm) page that Bob ages less due to Time Dilation. I balk at that. My SR-only resolution found at http://ezrelativity.com, Addendum IV, correctly attributes the aging difference to relativistic Time Dissynchronicity BECAUSE dilation effects are still covariant -- so THEY cannot play that role.
The page that you call a main page is the general relativity treatment, the other page is the special relativity treatment.
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Sam5:
No, I said that the professor’s emphasis on the math and not on the conceptual aspects of his thought experiment is what led to his mistake about the A clock “ticking faster”. He neglected the Doppler effects of the light signal and he made some other conceptual mistakes. He relied on the math and the light signals, and that led him astray. If he had used the more direct method of the dropping marbles, he would have realized his error.
So...Michelson and Morley would probably not be getting all this grief from the geocentrists today if instead of light, they'd just used their marbles?
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I’ve always said that if the conceptual stuff is not correct and not understood, the math, perfect though it might be, is useless, such as in Section 4 of the SR theory.
The conceptual stuff is correct, but you're correct about it being useless if it is not understood.
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Regarding the “closed curve”, you seem to think that Einstein was thinking that the clock slowed down during the closed curve. I’ve read in several books that acceleration does not affect balance clocks in that way, like it affects atomic clocks, and, anyway, Einstein wasn’t read yet for acceleration considerations in 1905.
You can take Einstein's own words for that--he says it was slowed down around the closed curve in that 1905 paper. He's not talking about mechanical considerations, he's talking about time itself.
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Sam5:
In that paragraph you are re-capping your “special” relativity page. Then in the next paragraph you go on to the GR theory. Then you say Bob doesn’t move and isn’t resting in a gravity field, but he experiences acceleration. This can be confusing to students who don’t know you and aren’t familiar with your verbose rhetorical prolixity and textual machinations.
It's relativity. Anybody who doesn't understand it, can ask.
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freddo:
The words that milli360 and Einstein use may be different, their labels against the different entities may not be the same, but the math used is the same, and the results match up.
True. And it's sort of a coincidence. When I struggled to write that first page, it was for myself, and only after I had looked at all sorts of references, did I choose that way of describing it--because it seemed the most intuitive to me. It may even have been ol' Sam5 who had found a copy of the 1905 paper on the web, when I first noticed that that method matched the one in the paper. I hadn't realized that Einstein had addressed the issue that early.
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Old 23-June-2004, 06:53 AM
freddo freddo is offline
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Originally Posted by Sam5
so if all clocks are moving relative to earth clocks, then according to SR then all clocks in the universe run slower than earth clocks.
You're missing an important caveat. Or is is more misunderstanding?

Quote:
Originally Posted by milli360
if instead of light, they'd just used their marbles?
What if you lost your marbles in a game as a child. Where does that leave one?
  #329 (permalink)  
Old 23-June-2004, 08:59 AM
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AstroSmurf AstroSmurf is offline
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Originally Posted by swansont
I think maybe you aren't seeing the point I'm trying to make. At this point I'm only trying to show that the finite speed of light has implications on measurements. I haven't added motion to the mix.
Well, sort of, but you're not using the term simultaneity in the same way relativity defines it. SR defines it so that the two events are separated by a purely space-like interval, i.e a frame-dependant definition; your definition seems to be more like "another event exists so so that the two events are on the 'surface' of its backward light-cone", which is a frame-independant definition. (sorry for the fancy terminology)

I'm butting out now; until Sam5 stops using the debate tactics of a 5-year-old, exchanging further words with him seems a futile exercise.
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Old 23-June-2004, 12:45 PM
kjavds kjavds is offline
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Originally Posted by milli360
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kjavds:
You fail to even address how Ann ended up aging ten years! yeah, we NEED that info or we don't believe your conclusion: "No paradox".
10 years and a time dilation of 80% is 8 years. It's all in there.
No, there's not ONE thing there to justify Ann having aged ten years from Bob's viewpoint -- Bob being first stock still in space for 4 of his years and then speeding off to chase Ann, according to your verbiage.

No sir -- it is definitely NOT "all in there". It's a shambles and elucidates nothing because there aren't strictly TWO viewpoints compared in your tale -- one where Ann is unmoving versus one where Bob is unmoving. You've got it all "mixed and matched" with no clear derivation of the results. You don't explain for one second how Ann aged 10 years from Bob's viewpoint stock still in space.

If you want elucidation, it's not to be found at milli360's site but at my own www.ezrelativity.com where Addendum IV righteously and meticulously resolves the paradox. 'No offense.
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