Methods of Hawking radiation generation

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SUMMARY

Hawking radiation is a phenomenon where particle-antiparticle pairs are generated at the event horizon of a black hole, with one particle escaping while the other is pulled into the black hole. This occurs due to the principles of quantum mechanics, where the escaping particle possesses sufficient energy to overcome the black hole's gravitational pull. As a black hole loses mass, the rate of Hawking radiation emission increases, a concept rooted in the relationship between black hole temperature and entropy as described by Stephen Hawking.

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  • Quantum mechanics fundamentals
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  • Understanding of black hole thermodynamics
  • Familiarity with particle physics concepts
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  • Study the mathematical formulation of Hawking radiation
  • Explore black hole thermodynamics and its implications
  • Investigate the relationship between black hole entropy and temperature
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Physicists, astrophysicists, and students interested in advanced concepts of quantum mechanics and black hole physics will benefit from this discussion.

Leyzorek
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first question
From what i read Hawking radiation is a particle and ant particle created on the event horizon of a black hole, one particle is pulled into the black hole letting the other escape, why does the one outside of the event horizon escape instead of both being pulled in? It would still need an enormous amount to energy to escape the black holes gravity.
2nd question
I have read that the amount of hawking radiation emitted by a black hole increases as the black hole shrinks. why is this?
 
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Leyzorek said:
first question
From what i read Hawking radiation is a particle and ant particle created on the event horizon of a black hole ...
Yes, this is how you find it described in pop-science presentations but not in actual physics texts. As Hawking explained it, the particle-pair thing is NOT an actual description of what happens but rather a heuristic that is the best he could come up with to describe in English what really can only be described in the math.
 
For the pop-sci description, the particle pair members have momentum opposite each other.
 

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