Well, I'm not sure. I'm working on it...
Rosnet said:Now, MacM, I suppose will want to know why the beam <I>has to</I> reach the cap in both frames of reference. Apart from the argument that this is what is happens according to experience, there are also reasons which occur to one's common sense. I'm in no mood to elaborate them right now.
I like it. I might not agree with it, but I like it. I am glad this thread has generated such speculative thinking.superluminal said:Ok. Try this. In the tube (emitter/detector) frame, you place a giant L square (you know, a right angle square) with one leg against the front of the laser (emitter) and the other parallel to the beam, and of course, you measure the beam to be at 90<sup>o</sup> to the front of the laser. From the embankment we already know that the beam makes the angle (wrt us) as drawn. If we could see the L square it would appear skewed just as the emitter I drew.
superluminal said:Or is this the case:
That movie was pretty good! I get the subtlties of what your saying too. Don't worry, be happy.superluminal said:Neddy,
Did you ever see the movie "Mars Attacks" and what happens to the martians brains when they hear Slim Whitman’s “Indian Love Call”?
Ouch!
Neddy Bate said:
A laser is moving quickly to the right relative to us, the observers. It is emitting a beam perpendicular to the line of its motion.
Case A and Case B show two different interpretations of possible light beam paths. Case A has the photons totally independant of the motion of the light source, while Case B shows a form of dependancy. This might be interpreted as the light source imparting some of its momentum to the photons, but I am not stipulating that as the cause. The angle shown in Case A is not important; only that there is some angle in Case A, and there is no angle in Case B.
I have my own concepts of which case would be the better approximation for various applications, but I am more interested in whether anyone would be kind enough to offer their interpretation. I just thought it might be fun to think about. Thank you.
Geist:
2. What does moving isotropically, {moving in a straight line) mean?
KitNyx said:It is "A" in either case, constant velocity, acceleration, or whatever. The light will continue to travel perpenticular to the motion of the emitter (it does not travel at 30 degrees as the picture makes it appear), but a "beam of light" is not a solid. What has been emitted (the photons) will appear to come from an emitter at the location the emitter was in when the photon was emitted. Without this being true time would not exist, information would travel instantaniously and the universe would have been fried by the amount of photons that take up every point in space.
- KitNyx
superluminal said:Neddy, I'll give you a hint -
Since, to most of us 'isotropic' means invariant with respect to the direction in space (not 'moving in a straight line - that's 'linearity'), what it means is that G dosen't know what he is talking about.
Oops. Sorry! I gave it away...
Neddy Bate said:
A laser is moving quickly to the right relative to us, the observers. It is emitting a beam perpendicular to the line of its motion.
Case A and Case B show two different interpretations of possible light beam paths. Case A has the photons totally independant of the motion of the light source, while Case B shows a form of dependancy. This might be interpreted as the light source imparting some of its momentum to the photons, but I am not stipulating that as the cause. The angle shown in Case A is not important; only that there is some angle in Case A, and there is no angle in Case B.
I have my own concepts of which case would be the better approximation for various applications, but I am more interested in whether anyone would be kind enough to offer their interpretation. I just thought it might be fun to think about. Thank you.
Neddy Bate said:I like it. I might not agree with it, but I like it. I am glad this thread has generated such speculative thinking.
I believe you are taking the rest frame to be 'at rest' so literally that you are reluctant to avert your eyes from a fixed point in space. My drawings are free from the distortion that you have introduced, yet they convey the same information that you are presenting. If you go back and look at Case B, I think you might detect how this apparent 'forward leaning' angle is created without violating the parallelism of the beam and the tube.
Furthermore, your square and the distortion of the system will have to shift toward the opposite side once the light beam reflects down from the detector at the top of the tube.
Neddy Bate said:This is exactly what I was trying to depict by Case B. I did not have the animation program, so it was broken up into movie-like frames.
The 'forward leaning angle' that you and Rosnet have added is technically correct (I can see it at work here), but it does not seem to require distortion of an L-square, and it does not violate the parallelism of the beam and the tube. I believe both of your drawings were equivalent to my Case B, up to the point where you started experimenting with distortion of the L-square.
Neddy Bate said:Figure A has the beam moving at an angle relative to the laser. Figure B has the beam moving parallel to the laser, as the laser was when each photon was emitted.
Neddy Bate said:Here is chapter two:
Light beam from a rotating light source
Figure A has the beam moving at an angle relative to the laser. Figure B has the beam moving parallel to the laser, as the laser was when each photon was emitted.
I thought the original post went pretty well, so I'll just throw this out there for general consumption.
superluminal said:Neddy, I'll give you a hint -
Since, to most of us 'isotropic' means invariant with respect to the direction in space (not 'moving in a straight line - that's 'linearity'), what it means is that G dosen't know what he is talking about.
Oops. Sorry! I gave it away...
Rosnet said:A clarification of my previous post: I was showing the paths of the photons. One source of confusion in these posts is the one between paths and beams.