According to the theory you're talking about, it would seem that we're forced to conclude that it's a gravitational field, since we can't see any objects in a reference frame other than our own.
That clearly violates the principle of equivalence. There's no way we should be able to tell.
Actually the theory says that there would not be any gravity like effect, nor would there be any centripital force without another frame of reference.
That's where part of my problem lies, Why should an external oberver make a difference to the internal observer who is not aware of it.
You would not argue that an observer traveling outside of the box (offset on the x, y, or z axis) is a valid reference point for making relative observations. But you seem to argue against a temporally displaced frame of reference.
An object is travelling at velocity x, where x can be almost anything but with reference to itself is zero. After 10 seconds of acceleration a 9 meters per second per second it as you say, is still travelling at 0 in reference to itself, but has increased in velocity to x + 900 meters per second and displaced 450 meters compared to itself ten seconds ago.
The internal observer has experienced the force, but not the displacement.
Again, I don't think you would argue that to an external observer, there is a limit to the acceleration from the external frame of reference, so what happens internally at that point? Or during your closed box acceleration after youve accelerated for years, and you open a window and can see an external reference point?
I'm also trying to work out relative Kinetic energy. Consider a particle accelerator. If I accelerate a particle to 14%C, it's mass increases 1%. For further acceleration I need to increase the energy accordingly for the new mass, and so on.
Now to the particle, it is still, but the earth is moving, but where is the force coming from to move the earth to 14%C? Likewise when you increase the earth's mass by 1% due to it's relative velocity, and now there is the consequence of additional gravity. The particle is in the earths gravitation, and therefore the particle's mass should likewise increase.
New we put the accelerator into Einstein's elevator. If sitting in a gravity feild, the effect should be the same. If accelerating, that would have to mean that the relative velocity of the elevator from the frame of the partical has accelerated, which I believe would have to be accounted for with time dialation. Time has slowed down for the particle, so the external acceleration is faster.
Now, if the particle is a radioactive with a know half life, it should be possible to determine it's time difference due to dialation between it and the elevator. So if the time dialation was 1% and the experimant runs for 100 seconds there should be an apparent difference in age between the accelerated particle (in the particle accelerator) and a like particle that was not accelerated sitting in the elevator. From the accelerated particle's frame the other particle experienced a time acceleration during the period it was in the accelerator, which would seem like the opposet of what would be expected. (the elevator accelerated to 14%c from the particles frame, but when motion equalizes 1 extra second passed for the elevator).
Now we step outside of the elevator car. It acclerates to near light speed, it's mass and the mass of everything inside should increase, to the external observer. So if inside the elevator I hang two objects, and their mass increases, then their gavitational attraction should increace pulling them together. Yet to the person inside the elevator, there should be no difference. Do the objects pull together or not?
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