thwle
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ghwellsjr said:Where did you get the idea that anybody made the assumption that any two methods for measuring distance would yield different results?
That IS the MMX.
ghwellsjr said:Where did you get the idea that anybody made the assumption that any two methods for measuring distance would yield different results?
I suppose your linked paper makes that claim? I tried to understand that paper but gave up. Can you point to a specific quote to support the idea that anybody believed that two different methods to measure a distance would produce different results?thwle said:That IS the MMX.
As you allready stated.thwle said:Beg pardon! There is a difference between comparing light phase and comparing light speed.
There was neither comparison nor measure of light speed in MMX.
I can't see why the assumption from this can't be drawn,(there was no phase shift) that the speed of light at the observation point is the same, irrespective of it's speed.OK. If there had been a phase shift, a time difference could have been inferred.
Which I am not quite sure about what you are saying.There was not and would not have been even if frequency changed.
He actually did mention the reason for the restriction, but it was rather subtle. In the introduction Robertson said that he wanted to determine "the degree to which postulate can now be replaced by observation". So he could not use light-clocks since those rely on the second postulate.roineust said:Question: Why at the end of page 378, and at the beginning of page 379, the writer claims: " ...The fundamental measurement of one kind of interval is not to be reduced to that of the other with the aid of postulated constancy of the velocity of light, as would for example..." - Without naming the reason for that restriction...?
Both. By using the form of the metric ds² = -g0²c²dt² + g1²dx² + g2²(dy² + dz²) Robertson is not assuming either postulate.ghwellsjr said:Is this paper concerned with both of Einstein's postulates or just the first one?
Buckleymanor said:As you allready stated.
I can't see why the assumption from this that the speed of light at the observation point is the same irrespective of it's speed.
Though you go on to state.
Which I am not quite sure about what you are saying.
I would disagree with that. I don't think Maxwell would have considered it significant that there exists a set of transformations which leave his equations unchanged. In fact, the whole reason he proposed experiments to measure the motion of the aether is because he believed that the aether frame was the only frame in which his equations were exactly correct.ghwellsjr said:My point is that if Maxwell had the foresight of Einstein's hindsight, he would not have proposed an experiment to measure the speed of the surface of the Earth through the absolute stationary ether because he would have realized that his equations predicted that it was unmeasureable.
Did I misunderstand the purpose of the paper? I thought it was to change the nature of the first postulate so that it was backed up by experimental evidence and no longer just an unsupported postulate.DaleSpam said:Both. By using the form of the metric ds² = -g0²c²dt² + g1²dx² + g2²(dy² + dz²) Robertson is not assuming either postulate.
Instead he is making a general theory without those postulates and then simply looking to experiments to set the undetermined parameters of the metric (or equivalently the coordinate transformation).
I must appologize here. You did not provide a link to a paper. I did a search on "emmision theory" earlier and found a paper that I thought you had linked to. Sorry.ghwellsjr said:I suppose your linked paper makes that claim? I tried to understand that paper but gave up. Can you point to a specific quote to support the idea that anybody believed that two different methods to measure a distance would produce different results?thwle said:That IS the MMX.
Here you say that they did not state that they believed that the two methods of measuring length were not equivalent, so if they didn't state it, why do you think they believed it?thwle said:They expected to demonstrate further against emission theory by detecting the velocity of the Earth, but that depended on assumptions that light traveled at a fixed speed relative to a frame of reference (ether) and (unstated) that measuring stick length is not equivalent to radar ranging (not by that name, of course.)
What non-null result do you think Michelson and Morley expected?thwle said:MMX consists of
(1) a rotatable stone slab on which two orthogonal folded paths are laid out, (two measuring sticks.)
(2) a light source ("argand lamp")
(3) a half silvered mirror at the common endpoint of the two paths to split and recombine the light beam at the beginning and end, respectively, of the round trip along each path.
(4) a telescope to observe the interference pattern in the recombined beam.
(2), (3) and (4) constitute a radar ranging measurement of the measuring sticks, except that rather than a count of wavelengths along the two paths only a count of differences between the two paths is observed. That being zero. It appears that the two methods of length measurment may be equivalent.
The only difference between LET and SR is that LET postulates that there exists a single absolute ether rest frame in which the one-way speed of light is the same in all directions and SR postulates that in any inertial frame the one-way speed of light is the same in all directions, (but only one at at time). Ocam's razor prefers SR because it frees you up from trying to find that single illusive ether rest frame--any inertial frame will do.TrickyDicky said:If the interpretation of Lorentz of the MMX were correct (that the experiment frame was moving wrt the ether absolute rest frame and it was experiencing length contraction and time dilation), it would indeed prevent any experiment from succeding measuring a different speed of light than c regardless the motion of the light source (that is actually the case, to this day no experiment has been able to falsify this claim of special relativity). In this sense Einstein and Lorentz interpretation would reach the same predictions and by Ocam's razor the ether would be superfluous.
No, unless you want to abandon SR, which I seriously doubt.TrickyDicky said:But could another approach be used to solve this, since measuring the speed of light seems a dead end, perhaps measuring the doppler shift of the Earth with respect to the vacuum?
I totally agree with your last sentence but it is at odds with the sentence before it because the Lorentz Transform is how we determine that if a set of equations is correct in one frame, it is correct in all frames. Of course, I'm assuming that Maxwell would have known the significance of the transform.lugita15 said:I would disagree with that. I don't think Maxwell would have considered it significant that there exists a set of transformations which leave his equations unchanged. In fact, the whole reason he proposed experiments to measure the motion of the aether is because he believed that the aether frame was the only frame in which his equations were exactly correct.ghwellsjr said:My point is that if Maxwell had the foresight of Einstein's hindsight, he would not have proposed an experiment to measure the speed of the surface of the Earth through the absolute stationary ether because he would have realized that his equations predicted that it was unmeasureable. But I'm not complaining, Maxwell was the most brilliant scientist of the 19th century in my opinion and hindsight is always better than foresight.
ghwellsjr said:I totally agree with your last sentence but it is at odds with the sentence before it because the Lorentz Transform is how we determine that if a set of equations is correct in one frame, it is correct in all frames. Of course, I'm assuming that Maxwell would have known the significance of the transform.
Thanks for that additional historical context and I agree with what you say about Maxwell as I pointed out earlier here:Born2bwire said:So given the historical context I do not think one would think any less of James Clerk Maxwell for missing these things since he did not live long enough to see theorists really flesh out his work and for experimentalists catch up with his theories.
ghwellsjr said:My point is that if Maxwell had the foresight of Einstein's hindsight, he would not have proposed an experiment to measure the speed of the surface of the Earth through the absolute stationary ether because he would have realized that his equations predicted that it was unmeasureable. But I'm not complaining, Maxwell was the most brilliant scientist of the 19th century in my opinion and hindsight is always better than foresight.
Not exactly. He just scrapped both postulates, made a completely general theory, and checked to see what restrictions experiments placed on the parameters of the general theory.ghwellsjr said:Did I misunderstand the purpose of the paper? I thought it was to change the nature of the first postulate so that it was backed up by experimental evidence and no longer just an unsupported postulate.
Noone seriously would want to abandon SR in its restricted range of application, that's why is called "special" or "restricted" relativity. But we all know we don't live in a "special relativity" world, ours is not Minkowski spacetime.ghwellsjr said:No, unless you want to abandon SR, which I seriously doubt.
ghwellsjr said:I'm still wondering where you got the idea that anybody at the time of MMX thought that two different ways of measuring a distance would give two different results. Can you provide some evidence for that?
ghwellsjr said:What non-null result do you think Michelson and Morley expected?
I didn't know that. I thought I lived in a special relativity world. But if what you are saying is that we don't live in just a special relativity world, we also live in a general relativity world, then I would agree with you.TrickyDicky said:Noone seriously would want to abandon SR in its restricted range of application, that's why is called "special" or "restricted" relativity. But we all know we don't live in a "special relativity" world, ours is not Minkowski spacetime.
I don't believe anything in GR provides for an absolute ether rest frame.TrickyDicky said:And some physicists (such as Nobel winner Bob Laughlin in his book "A different universe" in a chapter called The Fabric of Spacetime) claim that in a way Einstein re-introduced a form of ether with GR or the concept of empty space as a medium or substance.
This doesn't make any sense. The Lorentz Transform is a set of equations that don't know anything about any absolute rest frame. They always "hold" (whatever that means). The issue is whether another set of equations are modified by the LT or remain the same. Maxwell did believe his equations would only work correctly in an absolute rest frame but that has nothing to do with whether or not his equations would come out of the LT in exactly the same form that they went into the LT. Newtonian equations do not come out the same when subjected to the LT so we know they are not frame independent. The fact that Maxwell's equations come out the same means that they apply equally well in any reference frame, not just in an absolute ether rest frame.TrickyDicky said:It has also been said here that Maxwell believed that the ether frame was the only frame in which his equations were exactly correct. If we follow Lorentz here this would mean that the ether frame, that is the absolute rest frame, is the only frame where his tranformations hold exactly.
Some, though how do you go about providing evidence of your hypothesis.thwle said:What! ?
Let me try again: MMX consists of
(1) a rotatable stone slab on which two orthogonal folded paths are laid out, (two measuring sticks.)
(2) a light source ("argand lamp")
(3) a half silvered mirror at the common endpoint of the two paths to split and recombine the light beam at the beginning and end, respectively, of the round trip along each path.
(4) a telescope to observe the interference pattern in the recombined beam.
(2), (3) and (4) constitute a radar ranging measurement of the measuring sticks, except that rather than a count of wavelengths along the two paths only a count of differences between the two paths is observed. That being zero. It appears that the two methods of length measurment may be equivalent.
I conjecture that the dimensions of a material measuring stick, being dependent on the spacing of its atomic constituents, is dependent upon the forces between those constituents, which (if the forces be propagated or communicated between atoms at light speed) would always establish spacing determined (in effect) by radar ranging.
I hope this clears things up.
thwle
But how do you think they expected the interfence pattern to shift? Do you mean it should shift as they rotated the apparatus? Do you mean that it should shift at a constant rate? Do you mean that it shift shift back and forth between two values? Or do you mean that it should only shift as the Earth rotated on its axis and/or revolved around the sun?thwle said:They expected the interference pattern to shift.
Are you sure? Do we live in a uniform translatory motion universe? According to Einstein's 1905 paper that is the situation in which the first postulate of relativity should rule. Have I read this wrong?ghwellsjr said:I didn't know that. I thought I lived in a special relativity world.
Ok, but did you read the chapter in the book I mentioned? I think it is in Amazon's preview.ghwellsjr said:I don't believe anything in GR provides for an absolute ether rest frame.
I didn't say that. What I said is that if we were to follow Lorentz ether theory, it would make sense that Maxwell equations happen to be Lorentz symmetric, since according to his theory+ the above mentioned Maxwell belief, it is the logical outcome.ghwellsjr said:Maxwell did believe his equations would only work correctly in an absolute rest frame but that has nothing to do with whether or not his equations would come out of the LT in exactly the same form that they went into the LT.
Buckleymanor said:Some, though how do you go about providing evidence of your hypothesis.
It's ok to say the two measurements may be equivalent but if you try to measure one with the other you end up with a null result.
How do you show your stick is longer in one direction to another.
ghwellsjr said:But how do you think they expected the interfence pattern to shift? Do you mean it should shift as they rotated the apparatus? Do you mean that it should shift at a constant rate? Do you mean that it shift shift back and forth between two values? Or do you mean that it should only shift as the Earth rotated on its axis and/or revolved around the sun?
OK, yes, now I see what you are saying and I agree, they did expect the "radar" method of distance measurement to give a different result than the rod method. In fact, you could say that if they had extremely high precision, they could have done their experiment with just one rod/radar measurement but using two at right angles enables them to get by with less precision. I guess that distinction (two versus one) is what made it difficult for me to see what you were saying but now that I see it, it seems obvious and I can't really understand why I didn't see it the first time you suggested it.thwle said:On Page 336 (the fourth page of the paper by Michelson and Morley): "If now the whole apparatus be turned through 90 degrees, the difference will be in the opposite direction, hence the displacement of the interference fringes should be 2Dv^2/V^2. ..."
ghwellsjr said:OK, yes, now I see what you are saying and I agree, they did expect the "radar" method of distance measurement to give a different result than the rod method. ... It seems obvious and I can't really understand why I didn't see it the first time you suggested it.
However, I am not agreeing with your statements about emmision theory. I'll post about that later.
thwle said:I referred to the paper as I wrote my post.
Yes, emission theory was out of favor, but not disproved. They expected to demonstrate further against emission theory by detecting the velocity of the Earth,
but that depended on assumptions that light traveled at a fixed speed relative to a frame of reference (ether) and (unstated) that measuring stick length is not equivalent to radar ranging (not by that name, of course.)
They failed to detect motion of the earth. It seems to me that shows either that emission theory had some truth to it or that there is a greater correspondence of the two methods of length measurement than they had supposed.
TrickyDicky said:If the interpretation of Lorentz of the MMX were correct (that the experiment frame was moving wrt the ether absolute rest frame and it was experiencing length contraction and time dilation), it would indeed prevent any experiment from succeding measuring a different speed of light than c regardless the motion of the light source (that is actually the case, to this day no experiment has been able to falsify this claim of special relativity). In this sense Einstein and Lorentz interpretation would reach the same predictions and by Ocam's razor the ether would be superfluous.
But could another approach be used to solve this, since measuring the speed of light seems a dead end, perhaps measuring the doppler shift of the Earth with respect to the vacuum?
harrylin said:Here you do again not refer to their paper - it's not a coincidence that you don't cite from it (emphasis mine):
"emission theory [..] failed to account for the fact proved by experiment [..].
[...] first, the ether is supposed to be at rest [..] The experimental trial of the first hypothesis forms the subject of the present paper."
See above: emission theory was already disproved. For many people one logical conclusion remained.
Regards,
Harald
Hey ghwellsjr,ghwellsjr said:The only difference between LET and SR is that LET postulates that there exists a single absolute ether rest frame in which the one-way speed of light is the same in all directions and SR postulates that in any inertial frame the one-way speed of light is the same in all directions, (but only one at at time). Ocam's razor prefers SR because it frees you up from trying to find that single illusive ether rest frame--any inertial frame will do.
No, unless you want to abandon SR, which I seriously doubt.