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I am not particularly versed in physics, but my unscientific mind's WTF detector went off when I read books on Special Relativity. Could you help me understand this better? I have several questions.
1. Tying space-time to speed of light. SR assumes (amirite?) that before we observe the event, it doesn't happen. I don't understand why it was so absolutely necessary to not regard time as an absolute value. One second passes on Earth = One second passes in a different planet elsewhere = one second passes near inside a black hole's sphere of influence. Does information pass with the speed of light? Yes, but it doesn't mean that the flow of time is related to spread of information.
2. The book I read the last made a big point of an impossibility of calculating absolute velocity of a celestial body. Buuuuut don't we have speed of light as that absolute constant? Why couldn't we calculate our absolute velocity by sending radio signals to six different relays, positioned at the same distance from transmitter and recording time when these signals arrive?
3. Time dilation. The most WTF concept for me.
4. Impossibility of traveling faster than light being based on it violating causation laws. I imagine the situation as:
Event A occurs at point B. Observer is based in point C, which is 1 light year away from point B. Dude D is on point B, witnessing A and going to tell Observer how fukken cool it was. D has a drive that allows him to travel two times faster than light.
So. Event A occurs. Half a year later D arrives to C, telling of an event. Another half a year later D and Observer can see the event occurring while being on C. Where is the problem? Even if FTL was instantaneous, how could it ruin cause and effect link, or help travel in the past?
Well, all of it boils down to "why the hell time is not an absolute value in SR?".
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A Chinese buffet opens at 2:00 pm, if the owner leaves every day at 10:30 to get food, and is expected that he gets back in about 2:30 hours, and that food gets done in about 1 hour. What is the probability that food is done exactly at the time of the opening, if the owner arrives at the expected time, 15 minutes earlier and 15 minutes delayed?
I thought the following:
Let X be the "time taken to the owner to get food measured in hours" and Y be the "time taken to prepare food measured in hours" thus X \sim Exp(\lambda = 2.5) and Y \sim Exp(\lambda = 1)
Then the probabilities wanted are:
How do I explicitly calculate with a formula