Reff said:
Hi ghwellsjr- Quoting
I'm not sure if you answered my third question. I asked about a single sphere of light and you answered about spheres of light. Are you thinking that the light is behaving differently for each observer, that is, there is one expanding sphere of light for the stationary observer and a different expanding sphere of light for the moving observer?
I believe both observers will see an expanding sphere of light centered on them but if we stay centered on all the the headings or reciprocals--world lines and observe the two frames, then the moving observer I believe is mistaken. A marking event from this observer will show up the aberation.
We should be able to center ourselves on any "event" and consider a photon on the edge of the sphere at each radius and a measurement of each radius should be identical. Whilst still observing the sphere, a frame which created it moving at say .9c would no longer be centered after any propagation and frame movement. The frame would need to reverse to be hit by all the photons if the photons reversed direction. I see light moving at c absolutely independently of the speed of the frame it leaves. That part of the frame it leaves must be within the sphere even if the frame is fast moving and close to the edge. The only no aberation frame to view this from is centered on the sphere and the center of it marks absolute rest-- yes this is purely my view for the present. My geometry works fine on with this
OK, in this and other posts, you have indicated that you don't have a correct understanding of what's going on with an expanding sphere of light. I have created a series of animations to illustrate and hopefully help you understand what's happening.
First of all, you have indicated that you think that an absolute rest state, one that has been described as an ether, is the only one in which light travels at c. That's fine, we'll start with that idea and later I will show that it is identical to selecting any arbitrary inertial frame of reference as defined in Einstein's Theory of Special Relativity. So let's pretend that there exists an absolute ether rest state in which light travels at c in all directions and only in that state does light travel at c in any direction.
Now imagine an observer at rest in this ether and he sets off a flash of light. Wouldn't everyone agree that this will form an expanding sphere of light, enlarging at the speed of light, with the observer in the center? (We won't concern ourselves with the individual photons, we'll assume that the light is so bright that it creates a wavefront of light traveling away from our observer.) Now we have to ask ourselves the question: how does the observer decide if he is in the center of this expanding sphere of light? He cannot see the light that is traveling away from him, can he? It's gone away from him.
Well, the easiest way for him to figure out if he is in the center is to place a bunch of mirrors equally spaced from himself and wait for the sphere of light to hit the mirrors and reflect back to him. If he sees the reflections from all the mirrors arrive back to him at the same time, he can validly deduce that he was in the expanding sphere of light. In our diagrams and animations, we get to watch the wavefront of the light both while it is expanding and after the reflection, while it is collapsing, but we have to understand that the observer in the center of all this activity only knows of the initial emission of the light and its final reception, both of which happen at his location.
Now an animation to illustrate an expanding sphere of light in three dimensions would be very difficult to implement, but we can easily demonstrate the salient points by limiting it to a plane with an expanding circle of light, a circle of mirrors, and a contracting circle of reflected light. In the video that follows, the observer is shown as a green stick man with the light emitted as a blue circle from the center of his round head. He has placed a full circle of yellow mirrors all around him at an equal distance from his round head. The expanding circle of blue light reflects off the circular mirror as a collapsing circle of green light. Watch this:
Pretty simple, isn't it?
Next we want to consider another observer who is traveling at one-half the speed of light and see what happens to him. He also will place what he thinks is a circle of mirrors some equal distance around him. But it turns out that due to length contraction along the direction of his motion, his mirrors actually form an ellipse as shown in this animation:
Here, the moving observer is shown as a contracted red stick man and the reflection of the circle of light is also in red. Do you see how the light always travels at c no matter whether it is traveling away from him or reflected back towards him? Do you also see how the elliptical shape of the mirrors actually transplants the center of the expanding circle of light to a new location where the collapsing circle of light ends up?
The thin black dashed line shows the locus of points where the two partial circles of light contact the mirror and can be used to illustrate the reflections that occur in a light clock, although, usually a light clock is shown with just the horizontal sections of mirror and a light flash traveling up and down between them.
Finally, in order to show both stick men at the same time, they need to make their mirrors be partial, otherwise one of them will collect all of the reflected light leaving none for the other one:
Notice how the reflected light first collapses on the green stationary man and then later on the red moving man. This illustrates the time dilation experienced by the moving man.
Now it turns out that as far as the men can determine, they each are having exactly the same experience. The moving man not only concludes that he is in the center of the expanding circle of light, he also believes, and has every reason to believe, that the light struck every part of his mirrors at the same time and that his mirrors formed a perfect circle. Furthermore, he believes that the speed of light is a constant c in all directions relative to him because that is what he measures and even though he cannot see the progress of the light, it behaves exactly as if he were stationary in an absolute ether rest state.
It also turns out that any Frame of Reference that is defined according to the requirements of the Theory of Special Relativity will look exactly like these same animations--you cannot tell any difference between them and the absolute ether rest frame of the Lorentz Ether Theory.