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Old July 15th 08
Strich 9 Strich 9 is offline
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First recorded activity at PhysicsBanter: Jun 2008
Posts: 352
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Do moving rods contract? Do moving clocks run slow? Let's assume they do not.

The inverse DAVID Arguments:

Let there be two frames M and N with relative velocity zero. A rod D measuring 1 meter in M is equal to a rod D' measuring 1 meter in N.

These 2 frames are also moving at 0.995c relative to an arbitrary observer O.

Now M slows down to zero relative to O. Since no actual length contraction occurred when rod D was speeding at 0.995c relative to O, then when it comes to rest with O its length remains at 1meter. As M is now moving at -0.995c relative to N, N observes this rod as measuring 0.1 meter, and vice versa. Meanwhile O and M measure the rod at its invariant length of 1meter. No contradiction.

The same argument applies for moving clocks.

Let there be two frames M and N with relative velocity zero. An atomic clock A ticks 1 second in M synchronously with a 1 second tick in an atomic clock A' in N.

These 2 frames are also moving at 0.995c relative to an arbitrary observer O.

Now M slows down to zero relative to O. Since no actual time dilation occurred when A was speeding at 0.995c relative to O, then when it comes to rest with O it still ticks at the same rate. As M is now moving at -0.995c relative to N, N observes A to be running slow by a factor of 10, and vice versa. Meanwhile O and M measure the rate of A at its unchanged invariant rate. Again no contradiction.

Using the interpretation that time dilation and length contraction are not real leads to no contradictions. Assuming that they do leads to contradictions. Ergo, time dilation and length contraction do not represent actual changes but merely perceived changes.
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