wespe said:
If you mean: the observer can't directly measure 100km., yes. He measures 86km, it's real. But also knowing the relative speed, he can calculate 100km by multiplying the measured 86km by gamma.
I thought the observer couldn’t measure a change since his measuring stick has also contracted?
Quoted from the Microsoft Encarta Encyclopedia, (I hope this isn’t illegal):
In the 1890s FitzGerald and Lorentz advanced the hypothesis that when any object moves through space, its length in the direction of its motion is altered by the factor beta. The negative result of the Michelson-Morley experiment was explained by the assumption that the light actually traversed a shorter distance in the same time (that is, moved more slowly), but that this effect was masked because the distance was measured of necessity by some mechanical device which also underwent the same shortening, just as when an object 2 m long is measured with a 3-m tape measure which has shrunk to 2 m, the object will appear to be 3 m in length. Thus, in the Michelson-Morley experiment, the distance which light traveled in 1 sec appeared to be 300,000 km (186,000 mi) regardless of how fast the light actually traveled.
Microsoft® Encarta® Reference Library 2002. © 1993-2001 Microsoft Corporation. All rights reserved.
This is how I see it, what is your opinion?
The Michelson-Morley experiment was conducted to measure the resistance light encountered when traveling against the hypothesized ether.
No matter how or when they did the test, they couldn’t measure any resistance (ether).
Not wanting to let go of the ether, Lorentz hypothesized that the ether does exist, you just can’t see, feel, or measure it.
The Lorentz contraction explains why Michelson-Morley could not measure the resistance. The effect was masked because the distance was measured of necessity by some mechanical device that also underwent the same shortening.
Einstein took it another step and said the speed of light is the same for all observers. If the speed of light is constant, then so is Maxwell's equations. Michelson-Morley couldn’t measure a change in speed because the speed of light was constant and it was lengths and time that must be changing, which is why we couldn't measure it.
To me, it seems like the Michelson-Morley experiment proves that relative to the source, a ray of light will travel in any direction, away from the source, at the same speed. They were expecting it to be slower in the direction that was against the flow of the ether, which was the reason for the experiment. When they couldn't measure it, they had to explain why.
When they could not measure the effects of the ether, they said, the ether does exist, you just can’t measure it.
According to classical physics, one of the two observers was at rest, and the other made an error in measurement because of the Lorentz-FitzGerald contraction of his apparatus
Microsoft® Encarta® Reference Library 2002. © 1993-2001 Microsoft Corporation. All rights reserved.
I have to assume by the above, that they still believed there is a resistance to light, it just can’t be measured. Another words, they still refuse to believe the results of the Michelson-Morley experiment.
According to Einstein, both observers had an equal right to consider themselves at rest, and neither had made any error in measurement. The equations for this transformation, known as the Lorentz transformation equations, were adopted by Einstein, but he gave them an entirely new interpretation. The speed of light is invariant in any such transformation.
Microsoft® Encarta® Reference Library 2002. © 1993-2001 Microsoft Corporation. All rights reserved.
I believe Einstein meant the "both observers" to be, one traveling with the ether, and one traveling against the ether. Another words, one of the observers was measuring the light that was reflected and sent against the ether flow in the Michelson-Morley experiment, and the other observer was measuring the light that went with the ether flow.
In the above quote, it seems like Einstein too refuses to believe the results of the Michelson-Morley experiment. I am not sure if Einstein believes that the constant speed of light causes the Lorentz contraction, or if the Lorentz contraction causes the speed of light to remain constant. In either case, to prove that what Michelson-Morley measured was wrong, a contraction had to be applied that could not be measured by the observer. Both Einstein and Lorentz seem to be giving us a theory for why what we measured in the Michelson-Morley experiment is wrong.
To me it seems like Einstein is stating that SR applies to the ether and the source. No matter how fast or what direction the source moves through the ether, the speed at which light travels away from the source will remain constant whether moving with or against the ether flow. SR predicts the change we couldn't measure with the Michelson-Morley experiment. Is that right? SR says that when the light reflects off the mirror in the interferometer, and starts traveling against the ether flow, the reason we can't measure it is because the lengths and time have changed. Is that right?
The Michelson-Morley experiment did not have two observers moving relative to each other. The source of light was at rest with the interferometer, the light traveled from the source, then reflected off a mirror as to travel against the ether flow. The motion of that ray of light is what was assumed to be moving relative to the ether. The relative motion is between the source and the ether, what other relative motion is there?
If a ray of light is moving through space at 300,000 km/sec (186,000 mi/sec), and an observer is moving in the same direction at 29 km/sec (18 mi/sec), then the light should move past the observer at the rate of 299,971 km/sec (185,982 mi/sec); if the observer is moving in the opposite direction, the light should move past the observer at 300,029 km/sec (186,018 mi/sec). It was this difference that the Michelson-Morley experiment failed to detect.
Microsoft® Encarta® Reference Library 2002. © 1993-2001 Microsoft Corporation. All rights reserved.
The Michelson-Morley experiment failed to detect the added velocity of the observer (as worded above) because the observer was not moving relative to the source of the light, the ray of light was moving relative to the ether flow. In the above quote, they are implying the observer is moving relative to the source. It should read like this:
If a ray of light is moving through space in the direction of the ether flow at 300,000 km/sec (186,000 mi/sec), and an observer is moving in the same direction as the ether flow at 29 km/sec (18 mi/sec), then the light should move past the observer at the rate of 299,971 km/sec (185,982 mi/sec); if the observer is moving in the opposite direction of the ether flow, the light should move past the observer at 300,029 km/sec (186,018 mi/sec). It was this difference that the Michelson-Morley experiment failed to detect.
How does the Michelson-Morley experiment prove what an observer (the observer) will measure while traveling towards the source?
Is SR just another theory used to explain the null results of the Michelson-Morley experiment?
The questions are in blue, thanks for helping!