Good Elf
13th August 2005 - 03:03 AM
Hi Thezman, MDT and Nick,
QUOTE
Since the gravitational red shift occurs at emission, might it not be possible for a gravitational blue shift to occur at detection. Might not light emitted outside a black hole be blue shifted as it approaches the event horizon.
The shift in frequency is entirely due to the state of the frame of reference of emission and the state of the frame of reference of the absorber plus the intervening geometry of Spacetime. Observed effects are not "absolute" and really depend on the observer as well as the source. In a sense you will be right but in another sense you are wrong. Got you there haven't I? What I mean is unless the photons are involved in some kind of interaction at the event horizon (obviously there can be) you will not be seeing them from your frame of reference since all "observations" will be local. Photons are basically "invisible"... you cannot see them in "transit". It does not matter what theory or paradigm you are using this is always going to be the fact of the matter. If you were "hovering" on the edge of a Black Hole in "free fall" orbit, radio transmissions from Earth would all be Blue Shifted... Have a look at these older (non-streaming Quicktime Movies) links where a very young Roger Penrose discusses with Peter Ustinov the dynamics of this process...
New can of peas...Just be a little patient to load the entire video each time.
Here is a similar short two videos on those planes flying about with atomic clocks inside confirming General Relativity in a Gravity Well...
Big Ben VideoClocks in Plane VideoThis last video shows what may be expected by a pair of time traveling twins, one of which hovers at the edge of a black hole...
Peter and AlbertThere are very minor technical issues related to these TV presentations... I will leave you (and your sharp minds) to figure it out... He he he!
The "full" site is here...
Einsteins UniverseYour original question... Clearly the relative depth of the gravity wells relative to each other (the total system) will determine if the signals are red shifted or blue shifted relative to each other. That is ignoring any special theory considerations and also any rotating frame corrections (Sagnac Effect) and influences due to gravitational frame dragging. These are quite considerable when you deal with the extreme cases. Here are some pages on "some" of the GPS corrections necessary for use on Earth...
Relativity in the Global Positioning SystemFor added zest and challenge try this paper...
Relativistic Physics in Arbitrary Reference Frames - Mitskievich, Nikolai VThis paper fairly caused the tassel of my beanie to twitch excitedly but it is quite advanced. All those with a string theory "bent" should "have a look" too. Its a free download.
Cheers