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? AG
He 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??
Brent
I say "theoretically" since the clock below the EH cannot be seen from
above the EH. AG
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