Could someone PLEASE help me out with the following scenario. Its a AAA clock. I hope I didn't miss anything.
We have a sphere 6km in diameter. We also have 21 devices. Each device being a computer, an atomic clock, a photon detector and a controlled light burst machine all in one.
At the centre of this sphere, we have one such device. Lets call it the mother device. On the inside, along the walls of the sphere, we have the rest of the devices - 20 devices, all spaced out with equal spaces between each other. Lets call these lesser devices.
So far, we have 20 lesser devices spaced out equally on the walls of the sphere, measuring the intervals between bursts, as well as the number of bursts received from the mother device at the centre of the sphere.
These lesser devices are programmed to know the number of bursts received and the intervals between bursts from the mother device, in a stationary reference frame. Each lesser device sends its own bursts to the mother device containing information on the number of bursts received and the intervals between bursts. All of the lesser devices are synchronized with the mother device.
When the entire AAA clock device is stationary, the bursts from the mother device are received simultaneously by each lesser device. Each lesser device then fires its own bursts based on how many bursts by the mother device were registered and the times between each burst. So basically when stationary, the lesser devices all fire their information simultaneously at the mother device. This will happen in such a way that the mother device will receive a signal from each lesser device every 1/10th of a second (for example).
When the entire AAA clock is not stationary, the bursts from the lesser devices are adjusted by the computer at each lesser device to fire in such a way, that the mother device will still receeive the signals at the same time from each lesser device - every 1/10th of a second.
Note that when stationary, the number of bursts and the intervals between bursts should be the same. When not stationary, the number of bursts and the intervals between bursts should be different for all 20 lesser detectors. Using this information, the lesser device computers figure out how to send their bursts (either faster or slower than "normal"), so that each lesser device's burst is received at the same time by the mother device (containing the varying number of bursts and the varying intervals between bursts).
When the information is received by the mother device, it is compared with that of the stationary reference frame, which is stored on the hard drive as a reference point. From this, the mother device spits out the average time and speed for the onboard personnel.
What I want to know is...
1. When we have this AAA clock moving at 0, 25, 50, 95, and 99 percent the speed of light, what will the average time for each increment of speed be?
2. Did I go wrong anywhere/miss something in my reasoning?
3. What do you think?