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 Originally Posted by Renton
Waitaminit now. My interpretation of gravitational time dilation:
Person A observing the black hole from a weak gravitational field. Experiences time at 1 sec/sec.
Person B at 1 nanometer from the EH of a black hole. Experiences time at 1 sec/sec.
Person A observes Person B's clock ticking very slowly at 1/X B's seconds per A's seconds, where x is approaching zero.
Person B observes Person A's clock ticking very quickly at X A's seconds per B's second, where 1/x is approaching infinite.
Is this wrong?
I've been on this for long enough to report in.
I'm still a lot confused about the gravitational portion. I've even read some stuff that I don't fully understand about velocity transformations now... since the equivalence principle says that any force can be interpreted as a gravitational force, if that suits.
Here's the rub I'm dealing with. I am correct insofar as to say that an observer will always observe his own time as "normal." When observing things, if he's a clever physicist, he will know that what he observes can be different from what he calculates. This is because he's taking travel distances into account. He knows that everything he sees takes some amount of time between action and observation, and his calculations account for that.
OK. Some fuzziness around observations, but ultimately the calculations allow separated observers to agree on the cause of their observations.
Where I am lost is how an observer sees the other's clocks when the information is blue-shifted.
In the twin paradox, the blue shifted information arrives at increased frequency. The stationary twin sees his twin's clocks advance at a rapid pace, due to the fact that the traveling twin is approaching the stationary twin. There is a Doppler effect on the frequency.
So wait, what now? I thought that they would always see the other's clock tick more slowly, but this is not agreeing with the above information. So I have massive doubts.
I am trying to figure out where the notion that observers always see outside clocks tick more slowly is coming from. I thought it was tied to space contraction. I thought the dual effects of time dilation and space contraction served to make this effect.
I need to figure it out.
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