Comparing Event Occurrence Across PORs

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An event can occur in one Frame of Reference (FoR) and not in another due to limitations like event horizons, particularly in scenarios involving black holes or the expanding universe. The discussion highlights that while Special Relativity allows for events to be analyzed across different FoRs, certain conditions, such as acceleration or the observer's position relative to an event horizon, can affect visibility. The concept of Point of View (PoV) is debated, with suggestions that it should not be equated with FoR, as PoV relates to what an observer can actually see. The conversation also touches on the implications of slow transport of clocks and the visibility of light in different environments, emphasizing the complexities of defining time and events in relativity. Ultimately, the consensus is that in Special Relativity, if an event occurs, it can be observed by any observer moving at constant speed, barring specific limitations.
  • #91
Ok, let's go back to static images!
Attached is this diagram, please observe details.

d is a very small distance, especially when comparing with the path that ligth beams take between clocks, even very small comparing to the horizontal difference of position between clock A and clock B.

Clock A will indicate which light beam came first: the one from clock C or the one from clock B.

We know that time dilation exists at constant speed and that when we calibrated the apparatus at a slower constant speed, the C clock hindrance of the light beam was exactly in the order to compensate the horizontal difference between clocks A and B and thus, we had the exact same time indications on these clocks (A and B), and hence, clock B indicated that the light beam from clock C arrived first. As well, the mirror reflection time is very small, comparing to anything else described here.

Now we are at a different and faster constant speed, we do not change the apparatus calibration, but still- we know that according to the principle of relativity, time indication of both beams arriving at the clocks, clock A and B, will be an equal time and also as before, clock A will indicate that light arrived first from clock C and not from clock B.

How come? What is the reason? What effect counteracts time dilation, that we know that takes place at a higher constant speed?
 

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  • #92
Your description lacks some details but if I understand you correctly, the first of the attached files shows how you would draw it in the applet. The light is emitted at F, triggers clock C as it passes then reflects from the mirror at B before stopping the clock at A. Clock C sends the delayed pulse at D and if I follow your description, the delay is such that the light arrives at A to start the clock (which I show as event E).

The second file shows what the events look like from another frame, i.e. an observer moving right to left hence the clocks are moving left to right. All I did for that was to move the slider. You should be able to see that the diagram shows length contraction, time dilation and the relativity of simultaneity as you move the slider.

p.s. The short horizontal lines on C-D and E-A are the ticks of the clocks.
 

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