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Originally Posted by Xaccers
Well, to the one in the rocket, you on the ground are moving at speed.
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yes so like I said the one in the rocket should see your clock running more quickly, not slowly like it said in that paragraph I quoted.
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Originally Posted by Tezcatlipoca
Each person observes the other person's clock as running slowly....hence the paradox. [EDIT: As Xaccers said, to the person in the rocket, it is the person on Earth who is moving fast...and moving clocks appear to run slowly]
It goes into more detail in the 2nd link I gave. It also explains how the paradox is solved.
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That doesnt work. Time is relative so the person caught in the slower passage of time will see everything else running faster. i.e. the person in the rocket will see the people on Earth moving quicker than they infact are (This includes clocks
) It is only the person on Earth that will see the clock on the rocket running slowly (Not Both) as I said they worded that paragraph incorectly. The episode of Red Dwarf season 4 episode 4 'White Hole' is a good example of this (I can provide a link to the small segment of the show if anybody is interested).
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Originally Posted by snippet from that link you posted
One of the consequences of the general theory is that clocks at high gravitational potential run more quickly. In terms of Jane's frame during the turn around, Joe is a long way overhead, and so according to her his clocks run fast during that time, and he ages quickly. Further, Joe's 'height' above her depends on how far she has travelled, so his clocks run more quickly during the turn around in a long voyage. Thus if Jane applies General Relativity as well as Special Relativity, she concludes that Joe will be older. General Relativity is not however necessary to resolve the paradox, as demonstrated above.
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as mentioned in this snipet from your second link... unless im missing something
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Another interesting thing the 2nd link mentioned...according to general relativity, clocks at high gravitational potential run more quickly. (time dilation comes from special relativity).
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Interesting stuff, I have held a personal theory now, and have for a while now that time bareley exists between stars. If time is directly proportional to the amount of gravity present, and since stars produce gravity time will bareley exist in the voids between them.
As such a journey that will take 50 years to travel to another solar system could take hundreds of years from our viewpoint on Earth, yet anybody onboard the ship would reach thier destination in the afformentioned 50 years from thier own perspective.
Though I have another theory wich is related yet completeley confuses me as to what to make of the outcome.
Though before I will bother explaining this sister theory I have a question...
How do we calculate the distance between sol and its neighbours?
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Reminded me of something I read ages ago (can't remember where though)....a clock held at the top floor of a huge skyscraper will run faster than a clock held a ground level, due to the gravity.
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Shouldnt that be the other way around? I thought gravity became stronger the closer to the core of the planet you get, not the closer to the upper atmosphere you get? and if clocks run faster at higher gravity wouldnt they run faster the closer to the ground you get?