Mentz114 said:
A wavefront, like any physical manifestation can only be in one place at one time. Its position, when described in different coordinate systems can give different coordinates.
More twaddle. Any system which insists on absolute simultaneity is in contradiction with experiment and everyday experience.
Everyday experience? Like mechanical sound waves? ... If you think that then you absolutely do not understand what "lack of simultaneity" means. Period.
I'm sorry that you don't understand what I'm talking about but I'm afraid your confidence in the idea that I'm saying something faulty is leading you astray. You are relying upon rote memorization instead of actually going through the problem presented. Your rote memorization does not fit this problem.
It's quite unfortunate if you don't understand the principle of the lack of simultaneity and its physical consequences. Do you not understand the need for light cones and other representations? It is the addition of a fourth dimension. To explain a wholly new effect in reality.
If you will simply mathematically run through one single iteration of the specific situation I described above (and copied below), you will find that SR does not simply use classical coordinate systems that can be overlapped. You cannot freeze one moment in time and find the location of a certain wave of light. As soon as you move to find the wave, the wave changes location in space-time. It's a bit like the inverse of the uncertainty principle.
If you will look at my explanation of the trucks and sound waves experiment and then apply classical and non-classical mechanics to the situation like I described in the second post on this thread (copied below), you will find only two descriptions of the location of the first wavefront for a physical wave. There are more for light...
Please substitute light for sound below and use the trucks experiment as a guide. The point is to show that if we were to attempt to apply the full weight of relativity theory towards sound waves we would find relativity theory to be in error, of course. What I've been talking about is the reason why. LET was still a classical theory, SR is not. LET will have no disagreement with a classical prediction.
(Below there is a small mis-statement. A lorentzian observer would only calculate the speed of light as 1.33 units per second if he could detect the motion of ether. This excerpt below had a particular context that is misleading for a normal discussion of later versions of LET in which it was acknowledged that we cannot use knowledge of the ether frame.)
According to Lorentz, a traveller going to a star .5 lightyears away at .5C takes 1 year in the stationary frame but the traveller only records .866 as much time elapsing for a total of .866 years to arrive. Many perspectives were changed for the traveller however: During his travel he believed the point he traveled to was 1.1547 as many units away. He believes light to travel at 1.33 units per second but also still calculates his speed as .5C (because time effects from shortening affect distance inversely leaving only the wind effect visible to in-frame observers).
According to Einstein, a traveller going to a star .5 lightyears away at .5C takes 1 year according to the stationary frame but the traveller only records .866 as much time elapsing for a total of .866 years to arrive. The traveller believes himself to be stationary and that the distant object is approaching at .5C from a distance of .433 lightyears away.
So far there is little effective difference, however:
According to Lorentz, a beam of light traveling to that distant star would take .5 years in the stationary frame and would take .433 years in the moving frame.
According to Einstein, a beam of light traveling to that distant star would take .5 years in the stationary frame and would take .433 years in the moving frame less the movement of the distant star for a total of .288 years.
In mechanical wave theory there exists only .5 years for sound's travel time and .433 years for the skewed frame's perspective. Two frames, two locations for the first wave front.
The difference created by SR is that each observer is treated as the universal frame and both frames are given the attribute of motion. This is why, when applying relativity to a physical wave, your error will be to add the motion twice resulting in .288 years. The motion was already present in the transformation. (hopefully you understand to substitute lightyears for soundyears etc and I need not explain this)
If you want to attack my position you must assert the following and I will ignore any side arguments that do not include this assertion as just attempts to change the subject:
Does physical wave theory predict a different arrival time for the first wave front of sound, when considered from a moving perspective (whose clocks run at a slower rate), than Special Relativity would if applied to sound? My answer is yes.
Let me re-iterate an important principle: The clocks on the moving vehicle have substituted a pendulum for a chirp-reflection-detection system when considering the problem classically. They are therefore slowed by gamma when put in motion. This was the presumption of LET and it is true of the devices just briefly described.
I know this is a somewhat difficult classical physics question for you that you might not feel like solving but if you're not willing to take my word for it then you must prove I'm wrong, not just claim it emotionally. Do you need any further information to solve the problem? Some of the things I've mentioned most people even in physics have never considered, such as the idea of clocks running on sound being subject to time effects when in motion. This classical time effect is rarely understood and most are surprised to find that it is subject to the Lorentz transform.
The difference I'm asserting is this: Classical wave theory predicts only .5 and .433 whereas SR predicts .5 and .288 years. But the catch and the "additional times predicted by SR" that I'm referring to is the fact that when we convert .288 of the moving fame's years into stationary frames years using gamma we get yet another prediction: (.288 * 1.1547 =) .332 years
So, in effect, if we switch back and forth between frames using the conversion we'll cause a problem. We currently have .288 .332 and .5 as predictions of arrival time and we could produce more by continuing to convert results back and forth. This error cannot be performed/produced in classical physics. IE we can go back and forth between .433 and .5 using the transform and there is always only two numbers. (.433*1.1547 = .5 *.866 = .433)
That is because in classical physics we invert the operation each time we go from one frame to the other.
I'm trying to show you this subtle difference between the theories but I don't think any of you get it which is really starting to weird me out. Just solve the problem with sound and I think you'll finally follow the difference between classical and non-classical predictions.
Do your homework and you'll understand. Just emotionally claiming I'm wrong will not suffice.
(I think I'll start a wholly new thread to explain just the classical physical geometric solution Lorentz initially created with more of the diagrams from the paper I'm working on. Maybe that will clear the air a bit)