From: Darwin123 on 10 May 2010 17:13 On Mar 18, 12:15 pm, DSeppala <dsepp...(a)austin.rr.com> wrote: > In this second experiment, there is not any synchronization >of events among the 2000 segments in the moving frame. Then the segments are going to be squashed together by the effective gravitational force. Obviously, some type of communication is necessary between the segments or it isn't a valid frame. The force that accelerates the 2000 segments have to be synchronized in order that the 2000 elements move as a solid body. If the force is applied evenly, the force has to be timed to act coherently in all 2000 bodies. If the force is applied to one point, the force has to be propagated throughout the observer at the speed of sound. In either case, the force that causes the acceleration has to be times just right. All forces have a delay caused by propagation. If the measurements are small, this propagation delay time is minor. If your ruler is only 1 micron long, then the time delay caused by the speed of sound is minor. In general relativity, it is said that special relativity applies only in the local approximation. The two ends of the ruler have to be "synchronized" in order for the ruler to remain calibrated. >Which part of > this analysis is in error? As usual, you are ignoring the force that causes the observer to accelerate. The observer won't accelerate unless a force is applied to him. He won't be intact unless that force is distributed evenly. Synchronization is implied in the force. The assumption is that the uneven force on the ruler or clock doesn't break it. If so, the material making the ruler or clock have to distribute the force evenly and quickly over the entire material. > In realize that in the rest frame when > each moving segment lights up, the entire segment doesn't light >up simultaneously as measured in the rest frame. However, I >wasn't able to see how to include that to make the rest frame >observers measure 20 hits each time the experiment is performed. Calculations of the accelerated frame have to be truncated to first order to ignore things like the ruler being warped by the g- pressure. Something equivalent to synchronization has to be performed in order to prevent that warping. Somehow, the force that accelerates the measuring instruments have to be synchronized with each other. You can't totally ignore the force that is using the acceleration.
From: eric gisse on 10 May 2010 18:47 Darwin123 wrote: [...] Jeeze.
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