Abd, it is all in the perception of the various observers. Each one does not detect anything special about their own situation. We, as the far off guys, see the fellow on the ship being affected by the gravitational field he is within. That field is so intense that we see it slow his time measurements down to zero eventually. He does not see this happening from his point of view. He sees that big black zero ahead of him and kisses his butt goodbye. It takes very little time as far as he is concerned until he becomes bacon. For us, an eternity passes before he dies.
Now, I find it interesting what we should observe during this process. I agree with you that initially the ship leaving our vicinity must appear to accelerate toward the black hole. I am confident that we could bounce radar pulses off of the ship and measure its velocity and distance from us and that these measurements would show what is expected for a while. The acceleration of the ship would increase as the ship got further away from us until time dilation caught up with the device. There must exist a distance from us at which the ship begins to slow down from our perspective. This must be where the time dilation due to the gravity field exceeds the apparent acceleration due to the pull of the field. As the time dilation wins the battle, the ship appears to decelerate until it eventually comes to a stop. I suspect that you can obtain an idea of how a signal behaves when transmitted from us to the spaceman by thinking of behavior that is reversed from the other direction. All of the frequencies we transmit will be blue shifted by the same proportion. Have you practiced your Donald Duck speak lately? Perhaps a bottle of helium might help! Dave -----Original Message----- From: Abd ul-Rahman Lomax <[email protected]> To: vortex-l <[email protected]>; vortex-l <[email protected]> Sent: Wed, Dec 26, 2012 11:22 pm Subject: Re: [Vo]:[OT]:Question About Event Horizon At 07:33 PM 12/26/2012, David Roberson wrote: >Abd, time is supposed to be dilated for the probe ship from our >perspective as it approaches the black hole event boundary. Yes, it would be. However,time is dilated for muons that are travelling close to c, but they don't "slow down." They are travelling close to c! The muon decay clock slows down. Not the muon. > I think of it in the following way: On the probe ship one could > place any form of clock that he chooses to keep track of local > time. Let'c choose a laser beam for his clock where he sample the > emission frequency and divides it down to what is needed. Of > course we would be able to compare the final counted down pulse > rate to his heart rate for example. > >I believe that the amount of time dilation is exactly the fractional >change in the laser fundamental frequency. The heart of the >spaceman would appear to beat at the exact same ratio. His every >move would be slowed down to us until he freezes when the emission >frequency of the laser becomes zero due to red shift as a limit. > >It will take an infinite amount of time from our view point for this to occur. It would *not* take that time for the spaceship to reach the event horizon. We'd see the spaceship accelerating, in fact (nothing could hold it back), and it would redshift, but ... we'd not see it slow down. We'd see *events on board* slow down. In fact, imagine the light beam coming to us from the ship. It has a certain source frequency, so many cycles per second. Suppose the black holonauts are talking to us, modulated on that beam. As it approaches the event horizion, the beam would redshift (for us) and the voices would slow down. It's actually a gravity-induced doppler shift, plus the velocity shift. To them, nothing special is happening. But if they are monitoring a beam from us, what would happen to it? (I can answer this with velocity-induced time dilation, but haven't much of a clue about the gravity kind, yet.)
