B Can Particles Escape a Black Hole? The Hawking Radiation Improbability

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How can a particle created just outside the event horizon with no velocity (?) escape a black hole, never to return, when black holes gravity is so strong that they can pull matter away from stars many kilometers distant?
 
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pforeman said:
How can a particle created just outside the event horizon with no velocity (?) escape a black hole, never to return, when black holes gravity is so strong that they can pull matter away from stars many kilometers distant?
This is not how Hawking radiation works. Unfortunately, how it actually works does not let itself be well described at B level so what is left for popular scientific descriptions are imperfect analogies.
 
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pforeman said:
How can a particle created just outside the event horizon with no velocity (?) escape a black hole, never to return, when black holes gravity is so strong that they can pull matter away from stars many kilometers distant?
That's not Hawking radiation. That's Strawman radiation.
 
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pforeman said:
How can a particle created just outside the event horizon with no velocity (?) escape a black hole, never to return, when black holes gravity is so strong that they can pull matter away from stars many kilometers distant?
Light starting outside the event horizon can always escape - it’s always moving at the speed of light.

But more importantly and as @Orodruin points out above, there’s a lot more going on than just a particle being created and flying away. If you take a look at Hawking’s paper you will see why most popular explanations oversimplify the process.
 
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I asked a question here, probably over 15 years ago on entanglement and I appreciated the thoughtful answers I received back then. The intervening years haven't made me any more knowledgeable in physics, so forgive my naïveté ! If a have a piece of paper in an area of high gravity, lets say near a black hole, and I draw a triangle on this paper and 'measure' the angles of the triangle, will they add to 180 degrees? How about if I'm looking at this paper outside of the (reasonable)...
From $$0 = \delta(g^{\alpha\mu}g_{\mu\nu}) = g^{\alpha\mu} \delta g_{\mu\nu} + g_{\mu\nu} \delta g^{\alpha\mu}$$ we have $$g^{\alpha\mu} \delta g_{\mu\nu} = -g_{\mu\nu} \delta g^{\alpha\mu} \,\, . $$ Multiply both sides by ##g_{\alpha\beta}## to get $$\delta g_{\beta\nu} = -g_{\alpha\beta} g_{\mu\nu} \delta g^{\alpha\mu} \qquad(*)$$ (This is Dirac's eq. (26.9) in "GTR".) On the other hand, the variation ##\delta g^{\alpha\mu} = \bar{g}^{\alpha\mu} - g^{\alpha\mu}## should be a tensor...

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