To clarify the received POV .. outside the event horizon (EH) the possible path of anything that follows a time-like geodesic includes most places.. on approaching the EH the singularity will increasingly fill 'the horizon' and at the EH (by definition) the singularity becomes the only thing visible whichever way you look .. or rather (under the circumstances)
.
Yeah, that's about right. If you
could see the singularity, then every direction you look on the event horizon you'd see it. Infact, thinking about it, you'd get a very odd view because in some directions you'd see light from the outside universe pouring into the black hole AND you'd always be looking at singularity. A sort of "one way mirror" created by space-time curvature if you get my meaning.
QUOTE
On dropping a torch into a black hole are there any singular implications for 'time' and red shift as the torch passes through the event horizon .. on the basis of the received POV the effect of the gravitational field would be extreme but need not result in either the stopping of time wrt the rest of the universe or (consequent) infinite red shift.
The redshift becomes 'infinite' in the limit of the torch getting to the horizon, from the view point of someone far away, but as I've explained before to Nick (and to save him jumping in again), no photon is actually redshifted an infinite amount.
Since the torch only have finite energy, it cannot emit photons continously, but at seperate (but very very close together) time intervals. The last photon to be emitted before the torch hits the horizon will be red shifted an enormous amount, but still a finite amount. The photon to be emitted on the event horizon won't redshift at all because it cannot move away from the singularity due to space-time curvature.
Hence, why a continous function goes to infinity, it's important to remember that photon emission is not a continous process, so singular problems are resolved.
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| QUOTE |
| On dropping a torch into a black hole are there any singular implications for 'time' and red shift as the torch passes through the event horizon .. on the basis of the received POV the effect of the gravitational field would be extreme but need not result in either the stopping of time wrt the rest of the universe or (consequent) infinite red shift. |
The redshift becomes 'infinite' in the limit of the torch getting to the horizon, from the view point of someone far away, but as I've explained before to Nick (and to save him jumping in again), no photon is actually redshifted an infinite amount.
Since the torch only have finite energy, it cannot emit photons continously, but at seperate (but very very close together) time intervals. The last photon to be emitted before the torch hits the horizon will be red shifted an enormous amount, but still a finite amount. The photon to be emitted on the event horizon won't redshift at all because it cannot move away from the singularity due to space-time curvature.
Hence, why a continous function goes to infinity, it's important to remember that photon emission is not a continous process, so singular problems are resolved.
is it safe to assume that conditions will become increasingly extreme as one approaches the singularity?
Yes. While supermassive black holes can have quite low surface gravity on their event horizon, eventually you'd get close enough to the singularity to be 'spaghettified' (since you'd be elongated like pasta). I once got laughed at in my A Level physics class for calling the process of tidal forces tearing you apart that name, but I've seen several books use it too.
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Even within the event horizon does time still pass just as on the outside of the event horizon?
Time to someone falling into the black hole always remains passing as normal.
blue_bottle
20th July 2006 - 11:58 PM
The real question here is one of perspective.
For someone outside the event (you falling into the black hole) then you definetly fall in, and get munched upo and stuff.
But. for the person falling into the black hole, time around you gets slower and slower and slower, up to a point. So for you, you would get closer and closer to the event horizon, but you would for you get there slower and slower until eventually you would seem to stop, due to the black holes strong gravitational forces. So, for you, you wouldn't go beyond it, but for anyone watching, yes you would.
Did that make sense?
StevenA
21st July 2006 - 02:32 AM
QUOTE (AlphaNumeric+Jul 20 2006, 09:37 PM)
Yeah, that's about right. If you
could see the singularity, then every direction you look on the event horizon you'd see it. Infact, thinking about it, you'd get a very odd view because in some directions you'd see light from the outside universe pouring into the black hole AND you'd always be looking at singularity. A sort of "one way mirror" created by space-time curvature if you get my meaning.
The future or singularity, would seem to encompass you with the outside universe shrinking to a point behind you (with a doppler red shifting as well? Though time dialation due to velocity would compensate for this somewhat)
Now consider that by definition light always appears to travel at light speed. The errors in this we've come to assign to warping of space instead. So under this convention, the singularity would continually appear to surround - in other words, a small point in this space would subjective appear large and distant. Space would appear to be expanding because gravity operates in an expansive fashion tearing things apart and accelerating light away from you - light falling in behind you would take longer to reach you because you're accelerating closer and closer to the speed of light yourself and nothing would be seen ahead of you, though this nothing would encompass everything around you (except from the direction you travelled).
If we used red shifting as a measure of distance, it seems a singularity would never be perceived as being close to you - as under this metric space would be expanding faster than light speed away from you and a singularity would be beyond an event horizon in a similar way that we can't see distant galaxies because of the expansion of space. Basically, no matter how close you got to a singularity, it would always appear beyond an event horizon.
Since no matter which way you looked, you'd see this infinitely red shifted and expanding away from you horizon to your universe, with no way to see the singularity and the closer you got the expanded this space would become as tidal force would rapidly pull things away from you.
If we assume quantum level uncertainties still exist, then as you approached this singularity it might appear more as distributed energies throughout space, appearing out of nowhere and this would seem to match observations of the Big Bang - you have a singular process surrounding you that's expanding into space with a creative component like the Bang Bang or quantum uncertainties. If you draw a circle and imagine rotating one direction is toward larger scales and rotating the other direction is for smaller scales, then the Big Bang and black hole singularities are mirror images of each other on the other side or at least beyond the visible horizon. This could convert scales into angles and unify them as well as an angular, cyclic measurement.
I'm just thinking that event horizons aren't perceived locally as one-way events but instead an expansion of space with event horizons being seen as space expanding faster than light speed away from you, so it's a symettrical and bidirectional inability to communicate.
Of course the question still remains as to whether or not there's ever an "impact" at the end of all this but it might be that there's no more chance for such an unwitnessable impact to occur than there is currently in the universe around us. We're currently impacting the unknown future every moment. (Of course the nagging part is that it always has an unknown component)
Nick
21st July 2006 - 03:51 AM
If time ends at the event horizon there is no more proper time to "observe."
AlphaNumeric
21st July 2006 - 07:23 AM
Proper time is not what you observe of other people, but what you observe of yourself and to someone falling into a black hole, their wrist watch continues to tick normally.
Do you ever get tired of just repeating the same tired, debunked phrases Nick?
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