Can anyone describe the differences here?
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David - 14 Jun 2006 16:37 GMT There is a rotating cylinder aligned along the x-axis. There are two rods near the surface of the rotating cylinder going from end to end of the cylinder. There is an inertial frame moving with velocity V with respect to the cylinder frame along the x axis. At time t0 as measured in the moving frame, all points of one of the rods are attached parallel to the x-axis onto the surface of the cylinder. The other rod remains unattached. The attached rod is a straight line as measured in the moving frame but is a spiral that wraps around the cylinder in the moving frame.
As measured in the cylinder frame the attached rod is a spiral and the unattached rod remains a straight line. Observers in the cylinder frame say the two rods are shaped differently, have different properties, etc because of the shape difference.
In the moving frame, the attached rod is still measured as a straight line. When the attached rod is next to the unattached rod, how do the moving frame observers describe the differences between the two rods?
Do they simply say both rods are straight, but the attached rod has smaller atoms in the direction of rotation, and therefore the usual properties of what we consider a straight rod disappear? And these usual properties transform into properties identical to that of a spiral shaped rod whose atoms have not changed size significantly in the direction of rotation. For example, these smaller atoms in the direction of rotation will cause the "straight" rod to rotate about the x-axis even when the cylinder that it rests on is removed just as it had done when it was attached to the cylinder? Is that the correct SR interpretation?
If the explanation has something to do with smaller shaped atoms in the direction of rotation, why can't these same properties be exhibited when V=0 and the rod is rotated at a high angular rate on the cylinder? Thanks, Dave Seppala
Sue... - 14 Jun 2006 17:21 GMT > There is a rotating cylinder aligned along the x-axis. There are two > rods near the surface of the rotating cylinder going from end to end [quoted text clipped - 32 lines] > Thanks, > Dave Seppala You don't state how things are 'measured' so resolution is not possible.
Sue...
actionintegral@yahoo.com - 15 Jun 2006 02:21 GMT > There is a rotating cylinder aligned along the x-axis. This example is too complicated. A simpler apparatus would illustrate the essential phenomenon. Consider a rod moving perpendicular to its length. At any instant, the rod simultaneously occupies a certain set of points. The same rod witnessed by a moving observer would appear to occupy a different set of points, the orientation of the rod would appear different.
Once familiar with this, it is a simple matter to replace the motion of the rod with more complicated motions, such as the cylindrical motion you have described.
David - 15 Jun 2006 14:25 GMT >> There is a rotating cylinder aligned along the x-axis. > [quoted text clipped - 8 lines] >the rod with more complicated motions, such as the cylindrical motion >you have described. The situation I'm trying to understand is where two frames agree that the rod is a certain shape before time t0 and after time t0 one frame says the rod hasn't changed shape or length while the other frame says that the rod has changed shape and length. After time t0 both frames agree that the kinematic and electro-magnetic properties of the rod have changed. One frame attributes those changes to the change in shape of the rod. I don't see what the other frame attributes the changes to. David
actionintegral@yahoo.com - 15 Jun 2006 15:20 GMT > The situation I'm trying to understand is where two frames agree that > the rod is a certain shape before time t0 and after time t0 one frame > says the rod hasn't changed shape or length while the other frame says > that the rod has changed shape and length. Please help me try to understand your question. Here is my starting point:
Any change in shape or simultaneity is caused by the Lorentz Transformation. This transformation is assumed remain unchanged for all time prior to and after t0. So any disagreement the two frames have will always exist. A contracted rod will always be contracted. A slow wristwatch will always be a slow wristwatch.
There is no time t0 when the frames suddenly begin to disagree.
I apologize if I am not understanding you.
David - 17 Jun 2006 05:51 GMT >> The situation I'm trying to understand is where two frames agree that >> the rod is a certain shape before time t0 and after time t0 one frame [quoted text clipped - 16 lines] > >I apologize if I am not understanding you. In this example (and many similar examples), prior to time t0, there is a straight rod near the surface of a rotating cylinder. The rod and cylinder have zero relative velocity, and they are both aligned along the x-axis. Now consider two inertial frames, the rest frame of the cylinder and an inertial frame moving along the x-axis. In both of these frames, the rod near the surface of the cylinder is measured to be a straight line. The observers in the rest frame of the cylinder measure the unattached rod to be a straight line and observers in the moving frame measure the unattached rod to be a straight line.
Now at time t0 as measured in the moving frame, all points of the rod are attached to the surface of the cylinder parallel to the x-axis. In this frame, the moving frame observers simply place the straight rod on to the surface of the cylinder. It remains straight as measured by the moving frame observers and each point of the rod begins rotating at a constant rate around the cylinder. The moving frame observers continue to measure the attached rod as being a straight line.
But according to Einstein, when the moving frame observers simultaneously placed each point of the rod on to the surface of the cylinder, the observers in the rest frame observed that one end of the rod was placed on the surface of the cylinder before the other end. Since the cylinder is rotating, this means that the rod has to be bent and shaped into a spiral as it is attached. These rest frame observers see that the unattached rod was a straight line, and that the same rod when it is attached is bent into a spiral shape.
I don't understand how the moving frame observers can continue to measure that the attached rod is still straight yet it doesn't have all the properties one would expect with a straight rod. I don't see how the difference in properties is explained using SR physics concepts. David
Sue... - 15 Jun 2006 23:11 GMT > >> There is a rotating cylinder aligned along the x-axis. > > [quoted text clipped - 17 lines] > changes to. > David Reference frames are mental abstractions. They don't affect anything. Light and its interactions with matter does affect an experiment. I asked how your measurements were made *guessing* that light has something to do with it. If so, you need more details because we all know that 'frames' don't talk, debate, agree or disagree. :o)
Sue...
Eric Gisse - 16 Jun 2006 00:22 GMT [...]
Why do you keep asking about the rotating cylinder problem?
What could you possibly not be understanding after several years of asking the same questions over and over?
Sue... - 16 Jun 2006 01:33 GMT > [...] > > Why do you keep asking about the rotating cylinder problem? > > What could you possibly not be understanding after several years of > asking the same questions over and over? He keeps asking to see how many different variations of the Lorentz tranform he can collect. If each that I have seen fits on a sheet of paper I'd bet money he already has enough fireplace fuel to keep his toes toasty for most of his retirement.
"The Lorentz transformation" http://farside.ph.utexas.edu/teaching/em/lectures/node109.html
Sue...
http://web.mit.edu/8.02t/www/802TEAL3D/teal_tour.htm http://en.wikipedia.org/wiki/Multiple_integral
Phineas T Puddleduck - 16 Jun 2006 01:36 GMT > He keeps asking to see how many different variations of the > Lorentz tranform he can collect. If each that I have seen [quoted text clipped - 3 lines] > "The Lorentz transformation" > http://farside.ph.utexas.edu/teaching/em/lectures/node109.html If he gets the full set can he send off for a free gift?
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Eric Gisse - 16 Jun 2006 01:39 GMT > > He keeps asking to see how many different variations of the > > Lorentz tranform he can collect. If each that I have seen [quoted text clipped - 5 lines] > > If he gets the full set can he send off for a free gift? Yea. He gets SO(1,3).
> -- > The greatest enemy of science is pseudoscience. [quoted text clipped - 4 lines] > Official emperor of sci.physics. Please pay no attention to my butt poking > forward, it is expanding. Phineas T Puddleduck - 16 Jun 2006 01:43 GMT > > > He keeps asking to see how many different variations of the > > > Lorentz tranform he can collect. If each that I have seen [quoted text clipped - 7 lines] > > Yea. He gets SO(1,3). I'll send him my spare then. I was hoping for a toaster ;(
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David - 18 Jun 2006 17:39 GMT >[...] > >Why do you keep asking about the rotating cylinder problem? > >What could you possibly not be understanding after several years of >asking the same questions over and over? Its not the same problem and there have either been no responses or inconsistent variations. Todd for example posted a very good response to a recent question by saying that with that particular problem the direction of the spiral of an attach rods is reversed in some frames.
But if you look at the thread posted on 6/1/2006 titled "For Paul Anderson" you will see that Case 2 has no answer nor has anyone ever attempted an explanation. Here a straight rod no longer attached to the cylinder still rotates about the cylinder instead of flying off.
In my first cylinder problem, when a moving observer attaches a straight rod to the rotating cylinder its a spiral in the rest frame of the cylinder. Certain materials can break due to stretching and twisting. All frames can look at the broken pieces and measure that they broke due to twisting and stretching. Yet the moving frame doesn't measure any twisting forces that caused the twists. No explanation is given.
If the cylinder is soft (say wax-like) and the attached rod is a metal, then as tension on the rod is increased after attachment, the midpoint of the rod touches the center axis of the wax cylinder even though the moving frame observers say no force is in that direction.
So although you say its the same problem, its variations on a theme of unanswered questions. Perhaps you know the answer to the 6/1/2006 "For Paul Anderson" posting. I'd really like to see it.
David
Eric Gisse - 18 Jun 2006 21:19 GMT [...]
Oh, so it is variations on a theme. But the basic idea is still the same.
Pick up a decent book on SR - plenty of people can offer suggestions - and learn SR so you don't have to ask us every time your obcession with rotating cylinders demands you to ask another question.
David - 19 Jun 2006 14:48 GMT >[...] > [quoted text clipped - 4 lines] >and learn SR so you don't have to ask us every time your obcession with >rotating cylinders demands you to ask another question. Please reccommend a decent book on SR that explains problems like these rotating cylinder problems. Also, any SR book that explains how to make Einstein's photon concept compatible with relativity would be great too. Thanks, David
Phineas T Puddleduck - 19 Jun 2006 14:51 GMT > Please reccommend a decent book on SR that explains problems like > these rotating cylinder problems. Also, any SR book that explains > how to make Einstein's photon concept compatible with relativity would > be great too. > Thanks, > David Start with the basics - Spacetime Physics by Taylor/Wheeler
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dda1 - 19 Jun 2006 14:53 GMT > >[...] > > [quoted text clipped - 6 lines] > Please reccommend a decent book on SR that explains problems like > these rotating cylinder problems. That would be one on psychotic fixation.
>Also, any SR book that explains > how to make Einstein's photon concept compatible with relativity would > be great too. That would be a good kick in the pants, imbecilic psycho.
> Thanks, > David David - 19 Jun 2006 15:25 GMT >> >[...] >> > [quoted text clipped - 8 lines] > >That would be one on psychotic fixation. I agree with you, I couldn't find any physics book that explains this genre of cylinder problems either. David
> >Also, any SR book that explains >> how to make Einstein's photon concept compatible with relativity would [quoted text clipped - 4 lines] >> Thanks, >> David Eric Gisse - 19 Jun 2006 18:56 GMT > >[...] > > [quoted text clipped - 10 lines] > Thanks, > David http://math.ucr.edu/home/baez/physics/Administrivia/rel_booklist.html
I would suggest actually going to the library and flipping through the section that contains relativity books. Your nearest university would be worth a start. You are in Austin - there is no excuse.
David - 21 Jun 2006 18:00 GMT >> >[...] >> > [quoted text clipped - 16 lines] >section that contains relativity books. Your nearest university would >be worth a start. You are in Austin - there is no excuse. I'm going to try to get a copy of Wheeler's book. Vast majority of relativity books don't discuss the problems like I posted on 6/1/2006 titled "For Paul Anderson" and like I posted on 6/18/2006 titled something like "Simple length measurement for Todd ...
It seems like raising simple questions is verboten. And its not clear if there are any answers - if there were, someone like yourself could post the one or two sentence answer that explains things, instead of the 50 non-physics posts that serve no purpose. The length measurement post where the straight wire as measured in the moving frame is length L' before attachment and it is L' after attachment yet the wire undergoes stretching doesn't make sense to me. And all points of a wire that is cut to the correct length so no stretching occurs cannot be attached simultaneously to the cylinder as measured in the moving frame. And the wire that is L' before attachment and L' + some positive delta after attachment doesn't undergo any stretching seems completely backwards to me. Or why the unattached wire of the problem in the "For Paul Anderson" thread keeps rotating around the cylinder eventhough nothing keeps it attached to the cylinder. Someone like yourself could post a few sentences why that makes sense to you - but most people don't know or are afraid of criticism from their peers. Of course, those answers aren't easy to come by, but that's the kind of book I'm looking for. Run of the mill books don't generally discuss those topics.
And even the top physicists give mis-information. For example Stephen Hawking in the Brief History of Time states that Michelson-Morley measured the speed of light to be constant. When I looked up Michelson's original paper and then Michelson-Morley's paper when the experiment was repeated with more precision, what they measured was that there was no shift in the interference pattern of interacting waves as two perpendicular optical paths were rotated relative to the earth's motion. In their experiment the optical paths have unequal lengths when viewed from frames have a velocity wrt the earth. The simplest explanation to their experiment is that the velocity of light depends on the velocity of the light source (this is apparently not allowed to be stated in any SR book). But then Lorentz pointed out that a length contraction (of physical objects) of objects moving through space might occur in the direction of motion which provided a different explanation of the same experiment. Einstein then hypothesized that Lorentz's notions could be properties of space itself. But that is a far cry from Hawking's statement that MM measured the speed of light to be constant.
Likewise, in reading Einstein's books, he suggests that someone in an enclosed box could not determine whether that box was in a gravitational field or was being accelerated by a rope pulling the box. Of course we all know that is not true - it can be experimentally determined whether the acceleration is due to a rope or to gravity. He should have said that the box analogy provides insights to the way we should think about gravity, but that analogy is not physically correct.
David
Phineas T Puddleduck - 21 Jun 2006 18:05 GMT > Likewise, in reading Einstein's books, he suggests that someone in an > enclosed box could not determine whether that box was in a [quoted text clipped - 4 lines] > insights to the way we should think about gravity, but that analogy is > not physically correct. Wrong wrong wrong - equivalence principle - there is no experiment you can do in a closed box that can tell you whether you are being accelerated or in free fall at a similar acceleration.
You really need to start studying relativity and then come back.
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David - 21 Jun 2006 18:34 GMT >> Likewise, in reading Einstein's books, he suggests that someone in an >> enclosed box could not determine whether that box was in a [quoted text clipped - 8 lines] >can do in a closed box that can tell you whether you are being >accelerated or in free fall at a similar acceleration. Here's the experiment: I'm in a closed box in space. I place two objects a wide distance apart say along the x-axis. Now let's say a rope pulls the box so that the box accelerates along the x-axis. These two objects will move toward the end of the box as if they are being accelerated. But both objects will move at the same rate. On the other hand, if a large massive object is placed near the box causing a gravitational field, these two objects will again accelerate but they won't accelerate at the same rate. Gravitational strength has a dependence on distance. The object closer to the mass causing the gravitational field will accelerate faster than the object farther away. This is well known. David
>You really need to start studying relativity and then come back. Phineas T Puddleduck - 21 Jun 2006 18:36 GMT > >> Likewise, in reading Einstein's books, he suggests that someone in an > >> enclosed box could not determine whether that box was in a [quoted text clipped - 22 lines] > well known. > David Wrong. And I leave it up to you to work out why.
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David - 21 Jun 2006 19:50 GMT >> >> Likewise, in reading Einstein's books, he suggests that someone in an >> >> enclosed box could not determine whether that box was in a [quoted text clipped - 24 lines] > >Wrong. And I leave it up to you to work out why. The equation I used was F = (G * m * M)/r**2 where m and M are two masses separated by distance r. In the experiment above, we have (G * m1 * M) / r1**2 for object m1 which is a distance r1 away from M, and we have (G *m2*M)/r2**2 for object m2 which is a distance r2 away from M where M is the very massive object we placed outside of the box. If m1 and m2 are equal masses, they will not accelerate at the same rate. If the box is pulled by a rope, neither m1 or m2 move with respect to each other until they crash into the wall of the box (assuming their mutual gravitational effects are negligible). Show me why these equations are wrong. David
Phineas T Puddleduck - 21 Jun 2006 19:55 GMT > >> >> Likewise, in reading Einstein's books, he suggests that someone in an > >> >> enclosed box could not determine whether that box was in a [quoted text clipped - 36 lines] > Show me why these equations are wrong. > David Not the equations.
Your entire premise is wrong.
The principle of equivalence says that a box in a UNIFORM gravitational field is equivalent to a box in free fall.
Get the clue? By making the gravitational field significantly non-uniform over the whole of the box, the equivalence principle does not hold.
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David - 21 Jun 2006 20:40 GMT >> >> >> Likewise, in reading Einstein's books, he suggests that someone in an >> >> >> enclosed box could not determine whether that box was in a [quoted text clipped - 47 lines] >non-uniform over the whole of the box, the equivalence principle does >not hold. Yes you are correct - Einstein's premise doesn't apply to our universe. There isn't any such thing as a uniform gravitational field. In Einstein's book he should have said this analogy is just to give you insights into looking at gravity and the analogy doesn't apply to our universe. In my post to Eric I indicated that the kind of books I'm looking for are authors that make things clear. I'm trying to understand the concepts. David
Phineas T Puddleduck - 21 Jun 2006 20:43 GMT > Yes you are correct - Einstein's premise doesn't apply to our > universe. There isn't any such thing as a uniform gravitational [quoted text clipped - 4 lines] > trying to understand the concepts. > David Yes it does, it applies in small frames... the size of which depends on the size of the field - you can take some frames as being essentially uniform. I seriously suggest you read Taylor/Wheelers books on GR and SR
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David - 22 Jun 2006 14:20 GMT >> Yes you are correct - Einstein's premise doesn't apply to our >> universe. There isn't any such thing as a uniform gravitational [quoted text clipped - 9 lines] >uniform. I seriously suggest you read Taylor/Wheelers books on GR and >SR Why not be a sport and post your explanation to Case 2 in my posting of 6/1/2006 titled "For Paul Anderson" and for the post of 6/18/2006 titled something like "simple length problem for Todd, Harald..."?
It could help me, and it could help others as well. I'd like to see how you explain those problems. David
Phineas T Puddleduck - 22 Jun 2006 14:29 GMT > >> Yes you are correct - Einstein's premise doesn't apply to our > >> universe. There isn't any such thing as a uniform gravitational [quoted text clipped - 16 lines] > how you explain those problems. > David Give a man a fish and you feed him for a day. Teach him to fish and feed him for life.
Teach yourself to fish - plenty of people have pointed out where you can get the equipment from. Unless you learn for yourself, then you'll never understand it. Register for a local college course if you need to.
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David - 22 Jun 2006 16:19 GMT >> >> Yes you are correct - Einstein's premise doesn't apply to our >> >> universe. There isn't any such thing as a uniform gravitational [quoted text clipped - 19 lines] >Give a man a fish and you feed him for a day. Teach him to fish and >feed him for life. Is that original?
>Teach yourself to fish - plenty of people have pointed out where you >can get the equipment from. Unless you learn for yourself, then you'll >never understand it. Register for a local college course if you need >to. I didn't think you'd post a physics response. Thanks for the suggestion of getting some books and taking a class. That's very helpful. David
Phineas T Puddleduck - 22 Jun 2006 16:44 GMT lain those problems.
> >> David > > [quoted text clipped - 10 lines] > helpful. > David Considering you have been posting the variations on a theme for 6 years now - what else would you expect.
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Eric Gisse - 21 Jun 2006 21:53 GMT [...]
> I'm going to try to get a copy of Wheeler's book. Vast majority of > relativity books don't discuss the problems like I posted on 6/1/2006 > titled "For Paul Anderson" and like I posted on 6/18/2006 titled > something like "Simple length measurement for Todd ... Of course they don't. Your problems are boring and repetitive.
> It seems like raising simple questions is verboten. No. Just stupid ones, or ones that have been answered time and time again. Look through google and see how many times you have asked about your rotating cylinders.
> And its not clear > if there are any answers - if there were, someone like yourself could [quoted text clipped - 15 lines] > the kind of book I'm looking for. Run of the mill books don't > generally discuss those topics. Yes, they do.
They discuss relativity of simultaniety and probably make at least a passing mention at the nonexistance of infinitely rigid rods.
> And even the top physicists give mis-information. For example Stephen > Hawking in the Brief History of Time states that Michelson-Morley [quoted text clipped - 14 lines] > itself. But that is a far cry from Hawking's statement that MM > measured the speed of light to be constant. What Hawking most likely said is that the MMX can be explained by constant light speed, as Lorentz eventually figured out. You are probably misremembering. Look at it again.
> Likewise, in reading Einstein's books, he suggests that someone in an > enclosed box could not determine whether that box was in a [quoted text clipped - 4 lines] > insights to the way we should think about gravity, but that analogy is > not physically correct. The equivalence principle has just been explained to you adequately. Go buy a goddamn book on relativity but stay away from Gravitation because it is a shitty, shitty introduction to the theory.
> David David - 22 Jun 2006 14:16 GMT >[...] > [quoted text clipped - 10 lines] >again. Look through google and see how many times you have asked about >your rotating cylinders. I'll probably keep posting rotating cylinder problems until I get a physics reply that is consistent. Todd explained one error of mine in a cylinder problem but most like the first posting, the crossing wire postings, the single wire posting, and the 6/1/2006 posting titled "For Paul Anderson" have not had any physics replies that work. I keep trying to simplify the problem - The 6/1/2006 is just things from one frame's point of view but that involves the concept of force. The length variation of 6/18/2006 is just a simple length-time calculation but the moving frame's math differs from the actual physical measurements that would occur if the experiment is done.
Most people, like yourself, find all sorts of reasons not to post the physics answer - either because you won't or your can't. Don't know which it is. You seem to have time to do these other posts, and you imply the answers can be learned by reading SR books at the local library, but if that was the case, you could simplify everything simply by posting the explanation you learned for Case 2 of the 6/1/2006 thread for "Paul Anderson".
I don't know whether you are a Nobel prize winner or a high school drop out. It doesn't matter to me. I'm simply looking for more insights on the concepts. And no one has ever given a clear explanation of the simple problem in the thread titled "for Paul Anderson" 6/1/2006 nor in the "simple length problem for Todd.." of 6/18/2006.
You may claim you don't post a reply because it won't do me any good, but it may help others. If you know the answer to either of those posts why not post it? David
>> And its not clear >> if there are any answers - if there were, someone like yourself could [quoted text clipped - 58 lines] > >> David Eric Gisse - 22 Jun 2006 21:17 GMT [...]
Mabey if you took off the blinders and looked at the answeres given to you BEFORE June 1st you might find something that was useful. You have been asking the same simple type of questions for many years. Pick up a book and leave us alone until you have a specific question that does NOT INVOLVE your obcession.
You have been given plenty of examples of books to work from. Are you going to spend another 6 years posting crap to USENET or are you going to study a book and learn something? I think you will keep posting rather than work a little.
David - 24 Jun 2006 16:22 GMT >[...] > [quoted text clipped - 58 lines] >constant light speed, as Lorentz eventually figured out. You are >probably misremembering. Look at it again. I looked at it again. Here's what he said in regard to Michelson and Morley: "They compared the speed of light in the direction of the earth's motion with that at right angles to the earth's motion. To their great surprise, they found they were exactly the same!" For observers that have a non-zero velocity relative to the direction of the earth's motion, the path length in the MMX in the direction of the earth's motion is longer than the path length in the perpendicular direction. Michelson and Morley did not measure that the speeds in the two directions were exactly the same. I don't know if Hawking actually believes what he wrote or if other things are mis-stated but I infer from your post that you have an inclination to believe preeminent physicists without doing checking on your own. David
>> Likewise, in reading Einstein's books, he suggests that someone in an >> enclosed box could not determine whether that box was in a [quoted text clipped - 10 lines] > >> David Jem - 22 Jun 2006 14:19 GMT >>>>[...] >>>> [quoted text clipped - 22 lines] > titled "For Paul Anderson" and like I posted on 6/18/2006 titled > something like "Simple length measurement for Todd ... Just like a lot of books on arithmetic don't discuss how to add 317 and 54.
> It seems like raising simple questions is verboten. And its not clear > if there are any answers - if there were, someone like yourself could [quoted text clipped - 15 lines] > the kind of book I'm looking for. Run of the mill books don't > generally discuss those topics. The run-of-the-mill books discuss all that's necessary to understand everything you find confusing, even though they may not address the specific situations you have in mind. Analyse the situations the books do explain to learn general principles that can be applied in other situations.
> And even the top physicists give mis-information. For example Stephen > Hawking in the Brief History of Time states that Michelson-Morley [quoted text clipped - 14 lines] > itself. But that is a far cry from Hawking's statement that MM > measured the speed of light to be constant. If you want precision, don't look for it in popularizations. Physics' theories are expressed in the language of mathematics for no other reason than to eliminate ambiguities, so if it's precision you want, learn how to apply the math.
> Likewise, in reading Einstein's books, he suggests that someone in an > enclosed box could not determine whether that box was in a [quoted text clipped - 4 lines] > insights to the way we should think about gravity, but that analogy is > not physically correct. Ditto.
> David David - 22 Jun 2006 14:23 GMT >>>>>[...] >>>>> [quoted text clipped - 87 lines] > >> David Jem (Jeremy?) - why don't you post an explanation of what occurs in the problem of the 6/1/2006 thread titled "For Paul Anderson" or in the 6/18/2006 thread titled something like "simple length problem for Todd, Harald ... ". Haven't been able to find source with insights on those two problems. David
Jem - 23 Jun 2006 13:34 GMT >>>>>>[...] >>>>>> [quoted text clipped - 92 lines] > the 6/18/2006 thread titled something like "simple length problem for > Todd, Harald ... ". I told you why, several times.
Haven't been able to find source with insights on
> those two problems. You found one, but you ignored it.
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