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litlbunny said:Actually I think you misunderstood my question. And I apologize for that. Remember that question was talking about a high rate a speed, yet I was going off the premises one would remember that I specifically asked in this previous question, "what would the effect be if one person was standing on top of that first clock and another was standing on top of the second clock while both persons where inside that same ship, at both the startup and stopping points while traveling at the speed of light?" Because as we already know, in order to take even one step a part is moving while the other is standing still and vice verse when coming to a stop. So one could theorize could they not, that velocity could create relativity principles to one part of a ship while leaving the other part of that same ship alone? I understand the theory of relativity, I really do.
I'm still having a hard time following the question, but it sounds now like you are talking about the case of an accelerating spaceship.
In an accelerating spaceship (one that is either starting or stopping) it is in fact a prediction of relativity that there will be, from the POV of the inhabitants of the spaceship, a rate difference between a clock at the head of the spaceship and the rear of the spaceship due to it's acceleration. This effect is due to the non-inertial coordinate system of the space-ship, and is usually called gravitational time dilation. There will be an apparent "gravity" in the accelerating spaceship, and the "higher" clock will tick faster than the "lower", where "higher" and "lower" are judged by the apparent direction of "gravity" in the accelerating ship.
This means that when the spaceship is accelerating, the clock in the nose will tick faster, when the spaceship is deaccelerating, the clock in the tail will tick faster - from the viewpoint of the ship.
Observers in an inertial frame will not see things in the same way - observers in an inertial (non-accelerating) frame will only see time dilation effects due to velocity. Of course the observers in the spaceship are not and cannot be in an inertial frame when the ship is accelerating!
This effect happens due to the gravity of the Earth as well - stationary clocks at a higher altitude tick at a higher rate than stationary clocks at a lower altitude. The effect is small, but easily measurable with today's atomic clocks. This effect has to be and is taken into account when the readings of the worlds various atomic clocks are averaged together to create standard TAI time. TAI time is defined at sea-level - all clocks at sea-level (technically: on the geoid) will tick at the same rate, and the contribution of clocks have to be adjusted for their altitude. This is especially important in the case of the clocks at Denver, Colorado, because of it's high altitude. Without the correction for gravitational time dilation, the clock at Denver ticks noticably faster than the other atomic clocks around the world.