followed by this quoteFor large spaceships, the situation becomes more complicated. There is an event horizon associated with any accelerated observer known as the "Rindler horizon"
followed by this quote.Different notions of simultaneity tend to occur in any problem in relativity, however. Events that are simultaneous in one reference frame are not necessarily simultaneous in another. The net effects of time dilation, length contraction, and the relativity of simultaneity all result in a consistent set of experiences.
And there in lies the paradox I want to explore further.The theory of relativity says that two clocks in the same reference frame - as two clocks on the same ship are - will behave exactly the same relative to each other.
(There are two question above I still haven't received and answer to, which might help explain where it is I am going with this. But here is my next question anyway.)
Three people are in a box, say one light year in size. A and B are separated by the full length of the box. All three people within this box have computerized clocks set to absolute zero starting point. All three clocks draw from the same power source that travels at the speed at which all three people exist within that box, and this power source covers the entirety of this box. Person A and B are connected together with a string. Person C then flies back and forth between both A and B at the speed of light. What changes if any will occur within reference to all three occupants and their clocks if everything is measured within a box environment? Do both A and B clocks remain the same, and only C's clock changes or would all three clocks change? Or is it possible that all three clocks would remain the same? (Don't forget the physical connection between A and B)
Do the same principles with reference to relativity still apply equally in this box environment? Especially when we take into account the statements quoted above?