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Oct 21 2011 04:03pm
Novocane, I answered that already.

Quote (bentherdonethat @ Oct 20 2011 10:20pm)
Saying that the escape velocity is greater than the speed of light just means that nothing can ever escape it. It's not perfect, but it's not bad for a one-line definition.

The Schwarzchild radius is the "point of no return", meaning if light (or anything else, of course) passes within that radius it can never escape. You're correct in thinking that escape velocity is no longer relevant inside that radius since space itself contorts such that escape is impossible.

Of course, if one could find a way to travel to a fourth spatial dimension that was NOT curved as much as the three spatial dimensions that we experience regularly, then you could potentially escape. However, that's hypothetical at best and extremely unlikely.
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Oct 21 2011 04:10pm
Quote (bentherdonethat @ Oct 21 2011 05:03pm)
Novocane, I answered that already.


that definition implies that escape velocity is part of the reason light can't escape

also, its more than just a one-line definition; they use it to calculate the radius of black holes

so why would they put something in the definition and then use it to make calculations even though that something is completely irrelavent
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Oct 21 2011 04:21pm
Quote (novocane @ Oct 21 2011 05:10pm)
that definition implies that escape velocity is part of the reason light can't escape

also, its more than just a one-line definition; they use it to calculate the radius of black holes

so why would they put something in the definition and then use it to make calculations even though that something is completely irrelavent

I understand what you are asking, but IDK the answer.
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Oct 21 2011 04:26pm
Quote (novocane @ Oct 21 2011 06:10pm)
that definition implies that escape velocity is part of the reason light can't escape

also, its more than just a one-line definition; they use it to calculate the radius of black holes

so why would they put something in the definition and then use it to make calculations even though that something is completely irrelavent

If spacetime didn't warp at all, then the escape velocity description would be completely valid. That's why it's used to calculate that radius. Something can be mathematically useful and conceptually irrelevant at the same time. It's just that escape velocity is a simpler calculation than performing the one to find the point where the spacetime curvature is such that everything points back towards the black hole.

A parallel would be like using Newtonian Mechanics to describe the motion of a block being pushed instead of using the more mathematically complex Legrangian mechanics to describe its movements. Both will give you the same answer, but one calculation is much simpler and more intuitive.
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Oct 21 2011 04:29pm
Quote (bentherdonethat @ Oct 21 2011 05:26pm)
If spacetime didn't warp at all, then the escape velocity description would be completely valid. That's why it's used to calculate that radius. Something can be mathematically useful and conceptually irrelevant at the same time. It's just that escape velocity is a simpler calculation than performing the one to find the point where the spacetime curvature is such that everything points back towards the black hole.


But even if spacetime didn't warp, the escape velocity of light still wouldnt matter. If spacetime didn;t warp light would be able to escape would it not?
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Oct 21 2011 04:34pm
Quote (novocane @ Oct 21 2011 05:29pm)
But even if spacetime didn't warp, the escape velocity of light still wouldnt matter.  If spacetime didn;t warp light would be able to escape would it not?

Light cannot change its course like a ship or whatever, so once it is pulled close enough, it would be unable to escape, no?
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Oct 21 2011 04:37pm
Quote (L4d @ Oct 21 2011 05:34pm)
Light cannot change its course like a ship or whatever, so once it is pulled close enough, it would be unable to escape, no?


no because it doesn't get pulled close because light is massless
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Oct 21 2011 04:39pm
Quote (novocane @ Oct 21 2011 05:37pm)
no because it doesn't get pulled close because light is massless

Light is effected by gravity.
The only way for light to escape without the event horizon is if it had enough momentum?
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Oct 21 2011 04:53pm
Quote (L4d @ Oct 21 2011 05:39pm)
Light is effected by gravity.
The only way for light to escape without the event horizon is if it had enough momentum?


lights energy is affected by gravity but its position is only indirectly affected by gravity. gravity can't "suck light in" like it could a space ship. any change in the path of light by gravity is done by the bending of the spacetime the light is traveling through.

and in the hypothetical "if black holes didnt warp spacetime", then light would be able to escape them
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Oct 21 2011 04:58pm
Quote (novocane @ Oct 21 2011 05:53pm)
lights energy is affected by gravity but its position is only indirectly affected by gravity. gravity can't "suck light in" like it could a space ship.  any change in the path of light by gravity is done by the bending of the spacetime the light is traveling through.

and in the hypothetical "if black holes didnt warp spacetime", then light would be able to escape them

I concur, but it is irrelevant anyway...
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