Hypothetical question scientist discover smallest unit of...

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scientist discover smallest unit of time. The clock uses light.

For the setup I am using the train example in this video.

A single Clock takes 360 ticks of smallest unit of time and uses light speed to complete 1 rotation of the clock.
The clock is on a train traveling .5 speed of light. From my limited understanding the clock should tick upwards to downwards in a straight line, from Alice perceptive. Alice happens to be on the train and Alice is standing still.

Now Bob is on a stationary platform with no movement. Bob views Alice's clock. Bob could actually be on any platform just at a different speed I just used stationary for simplicity. The speed of Bob clock confuses me if it faster or slower. Could someone explain this. I understand the clock ticks at different speed and the light won't reflect off the mirror in a straight line from Bob's perceptive.

Now this may be a series of stupid question. What if "Bob's clocks movement can't be divided into 360, and gets 1 tick per smallest unit of time and light?"

I.O.W quotations means: if ( bob_clock_movement_per_tick% 360 != 1)

The reason I am using 360 is that is how many times a circle can be evenly divided the maximum amount of time.

Now I take a picture when it is at 1 rotation. Won't I see a smaller unit of time than the smallest unit of time? Or could I only measure full rotations every once in a while and not every rotation?

Any difference in time dilation between Alice and Bob can be used i was just using my example as an example.
tj444
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