RIM 2Imagine that Frames R Us, Inc., is constructing an economy reference frame

Question

RIM 2Imagine that Frames R Us, Inc., is constructing an economy reference frame whose price will be below every other frame on the market. Placing a clock at every point in the frame lattice is too expensive, so the company decides to place one clock at the origin. At all other positions, the company simply places a flag that springs up when an object goes by. The flag has the lattice location printed on it, so an observer sitting at the origin can assign spacetim coordinates to every event by noting when he or she sees the flag spring up (according to the clock at the origin) and noting the spatial coordinates indicated by the flag. Why doesn't this method yield the same spacetime coordinates as having a clock at every location would? Pinpoint the assumption that the engineers at Frames R Us ar making that is incorrect. (See problem R1R.2 for a further exploration of the problems with this reference frame.)

Explanation / Answer

All the space time coordinate is in inertial frame and so position is known and remain same. As clock is kept at the origin, every time a flag pops-up, time measured is not the same as two events of measuring the same is not the same. For doing this measurement we measure the initial time and then light travel to cover the distance and return back to the origin and so there is delay in measuring the event which is (2r/c = (2/c).(x2 + y2 + z2)1/2). Thus all cordinate position which pops up will have time (t = to - (2/c).(x2 + y2 + z2)1/2)

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