Pete Cortez said:
That's the thing. It does remove the Doppler shift (or more precisely it doesn't give rise to one). Apparently this effect is exact (neglecting tidal forces) and holds for all
freely falling observers (including those in stable orbits). The blueshift you're considering is for a
static observer (stationary with respect to the gravitational field) in the interior position. There's a
lengthy discussion about it here.
But that isn't correct. It is just as wrong to claim that "freely falling" observers don't see blueshifts and redshifts as it is to take the naive answer we considered above, that the local time dilation factor is the answer to everything. I didn't read that whole thread, because I quickly encountered errors like this, by what poster it doesn't matter: "From the viewpoint of an observer at rest in the gravitational field, the freely falling frame is accelerating downward. Suppose a photon is emitted upward towards a freely falling observer some distance above, who is at rest in the gravitational field at the instant the photon is emitted. By the time the photon reaches the observer, it will have redshifted, but the observer will have picked up just enough downward velocity so that when the observer receives the photon, there will be a Doppler blueshift that exactly cancels the gravitational redshift."
Of course that is not even close to right, when the free-faller first starts to fall, there is no blueshift at all, but there is certainly redshift, and if the freely falling observer falls all the way to the place where the static emitter is emitting the light, there will obviously be a substantial blueshift that does not "cancel out" because at that point there's no gravitational redshift any more. So the real answer is, it's very hard to make generalizations in relativity, unless one does the calculations.
So far, I've only uncovered clear contradiction--that is the different sizes of Gargantua depicted near Miller's planet. It's maybe about 5 to 10 seconds worth of footage all in all.
The absence of Doppler shifts is a clear contradiction, and it is well known that a choice was made not to depict them. That is what I am disappointed by-- I think if they went to all the trouble to get the spatial appearance of the light, they should have also tried to get the color appearance right as well, even if they did choose to dodge the issue of harmful X-rays. Just as the movie provides an entry into the collective consciousness about time dilation, it could have also served as an entry into the issue of Doppler shifts in light.
I think Thorne enjoys it more than you think. He certainly had a grand old time with it during production, and while writing his book. I think if people like Thorne minded making missteps (or misplaced criticism from others), then forums like this one would have a hard time staying active.
I think you misinterpret my meaning. I was not saying Thorne didn't enjoy the science, or that he was troubled by his own mistakes, I meant that he must have been quite frustrated over all the people (such as the thread on here that characterized the science as "stupid") making incorrect criticisms of what he did because they didn't do the work he did to make it plausible. Much like a coach having to listen to criticisms of their decisions, coming from people who were not aware of the machinations of the game that actually went into that decision.
Pete Cortez said:
That's the thing. It does remove the Doppler shift (or more precisely it doesn't give rise to one). Apparently this effect is exact (neglecting tidal forces) and holds for all freely falling observers (including those in stable orbits).
That is clearly not right, as two free-falling observers can be at the same place and time-- and have a significant Doppler shift relative to each other. So we
know they will not see the same things.