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

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Particles can escape a black hole's event horizon through the mechanism of Hawking radiation, which involves complex quantum processes rather than simple particle movement. Light generated outside the event horizon can always escape due to its constant speed. The discussion emphasizes that popular scientific descriptions often oversimplify Hawking radiation, leading to misunderstandings about how particles can evade a black hole's gravity. The nuances of quantum mechanics play a critical role in this phenomenon, which is not adequately captured in basic analogies. Understanding these complexities is essential for grasping the true nature of black holes and Hawking radiation.
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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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In Birkhoff’s theorem, doesn’t assuming we can use r (defined as circumference divided by ## 2 \pi ## for any given sphere) as a coordinate across the spacetime implicitly assume that the spheres must always be getting bigger in some specific direction? Is there a version of the proof that doesn’t have this limitation? I’m thinking about if we made a similar move on 2-dimensional manifolds that ought to exhibit infinite order rotational symmetry. A cylinder would clearly fit, but if we...

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