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It's a interesting idea Jeffrey, as I like to bind time to 'c'. Locally defined time will continue for you as long as the constant holds. Looking out at a universe then? Comparing your local clock to some stars 'flickering', can those flickers pass 'c'? I don't think so. I think it would be very hard to test experimentally though, as you need a instrument sensitive enough to differ between something 'flickering' at 'c', and above, versus something presenting you with a constant light flow. That instrument should actually prove 'ftl' just by itself, if existing. Time has limits it seems if you define it my way, the limits are between what happens at Planck scale, relative what we measure to be 'c'.As for the idea of going very fast, close to light speed, looking at a universe evolving. As long as you're of rest mass, you won't get to 'c'. 'Photons' are the definition of 'c', but they have a speed. There is nothing measurable that is faster in a (perfect) vacuum. And it shouldn't matter if we define its path as 'curved', the speed should be the same at each instant of its 'propagation'.
Consider an orbit around a black hole that is reducing in radius. The intensity of the gravitational field will cause time dilation which is supposed to eventually stop light. If the observer is in an orbit that has reached relativistic speeds and and is increasing then he is experiencing an extreme time dilation. Will the motions of the stars that he observes tell him that he has exceeded the speed of light.
As his time has slowed down yet his speed around the orbit is constant and relativistic then at some point shouldn't he make an estimate that convinces him of reaching superliminal speed?
Quote from: jeffreyHConsider an orbit around a black hole that is reducing in radius. The intensity of the gravitational field will cause time dilation which is supposed to eventually stop light. If the observer is in an orbit that has reached relativistic speeds and and is increasing then he is experiencing an extreme time dilation. Will the motions of the stars that he observes tell him that he has exceeded the speed of light.He will never exceed the speed of light according to any observer.Quote from: jeffreyHAs his time has slowed down yet his speed around the orbit is constant and relativistic then at some point shouldn't he make an estimate that convinces him of reaching superliminal speed?No. Never. In fact, according to him, he's always at rest in his own locally inertial frame of reference.
Quote from: PmbPhy on 02/02/2015 11:49:45Quote from: jeffreyHConsider an orbit around a black hole that is reducing in radius. The intensity of the gravitational field will cause time dilation which is supposed to eventually stop light. If the observer is in an orbit that has reached relativistic speeds and and is increasing then he is experiencing an extreme time dilation. Will the motions of the stars that he observes tell him that he has exceeded the speed of light.He will never exceed the speed of light according to any observer.Quote from: jeffreyHAs his time has slowed down yet his speed around the orbit is constant and relativistic then at some point shouldn't he make an estimate that convinces him of reaching superliminal speed?No. Never. In fact, according to him, he's always at rest in his own locally inertial frame of reference.I am not convinced on this point Pete.
Consider an orbit around a black hole that is reducing in radius. The intensity of the gravitational field will cause time dilation which is supposed to eventually stop light.
Quote from: jeffreyH on 02/02/2015 13:20:44Quote from: PmbPhy on 02/02/2015 11:49:45Quote from: jeffreyHConsider an orbit around a black hole that is reducing in radius. The intensity of the gravitational field will cause time dilation which is supposed to eventually stop light. If the observer is in an orbit that has reached relativistic speeds and and is increasing then he is experiencing an extreme time dilation. Will the motions of the stars that he observes tell him that he has exceeded the speed of light.He will never exceed the speed of light according to any observer.Quote from: jeffreyHAs his time has slowed down yet his speed around the orbit is constant and relativistic then at some point shouldn't he make an estimate that convinces him of reaching superliminal speed?No. Never. In fact, according to him, he's always at rest in his own locally inertial frame of reference.I am not convinced on this point Pete.Why?
I did say did I not "which is supposed to top light". This does not imply in any way I believe that light stops. It also doesn't imply that I don't believe it. It is simply a statement of a certain view.
Enough said. On another note, would you consider the gravitational field to have a density? I am asking simply because I don't know.
...or am I misunderstanding things?
Quote from: jeffreyH on 03/02/2015 00:23:44Enough said. On another note, would you consider the gravitational field to have a density? I am asking simply because I don't know.It sounds familiar. Something related to gravitational energy. Look that up or along those lines.
Can an observer ever experience superluminal speeds?