On 11/6/2019 4:44 PM, Alan Grayson wrote:
On Wednesday, November 6, 2019 at 3:46:54 PM UTC-7, Brent wrote: On 11/6/2019 12:05 AM, Alan Grayson wrote:On Tuesday, November 5, 2019 at 10:23:58 PM UTC-7, Brent wrote: On 11/5/2019 9:09 PM, Alan Grayson wrote:Crossing the horizon is a nonevent for the most part. If you try to accelerate so you hover just above it the time dilation and that you are in an extreme Rindler wedge will mean you are subjected to a torrent of radiation. In principle a probe could accelerate to 10^{53}m/s^2 and hover a Planck unit distance above the horizon. You would be at the stretched horizon. This would be almost a sort of singular event. On the other hand if you fall on an inertial frame inwards there is nothing unusual at the horizon. LC Do you mean that clock rates continue to slow as an observer approaches the event horizon; then the clock stops when crossing, or on the event horizon; and after crossing the clock resumes its forward rate? AGHe means the infalling clock doesn't slow down at all. Whenever you see the word "clock" in a discussion of relativity it refers to an /*ideal clock*/. It runs perfectly and never speeds up or slows down. It's called /*relativity*/ theory because observers /*moving relative*/ to the clock /*measure it*/ to run slower or faster than their (ideal) clock. Brent I see. So if for the infalling observer, his clock seems to be running "normally", but for some stationary observer, say above the event horizon, the infalling clock appears to running progressively slower as it falls below the EH, even if it can't be observed or measured. According to GR, is there any depth below the event horizon where the infalling clock theoretically stops?I just explained that */clocks never slow/* in relativity examples. So now you ask if there's a place they stop?? BrentI know, but that's not what I asked. Again, the infalling clock is measured as running slower than a stationary clock above the EH. As the infalling clock goes deeper into the BH, won't its theoretical rate continue to decrease as compared to the reference clock above the EH? How slow can it get? AG
It /*appears*/ (if the observer at infinity could see the extreme red shift) to /*asymptotically approach stopped */as it approaches the event horizon. This is because the photons take longer and longer to climb out because they have to traverse more and more spacetime.
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