Hawking Radiation: What it is and How it Relates to the Schwarzschild Radius

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Discussion Overview

The discussion centers around the concepts of Hawking radiation and the Schwarzschild radius, exploring their relationship and implications in black hole physics. Participants delve into the nature of Hawking radiation, the mechanics of virtual particle pairs, and the theoretical underpinnings of energy conservation in the context of black holes.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • Some participants propose that the Schwarzschild radius marks a point beyond which no information can escape, raising questions about how Hawking radiation can occur.
  • Hawking radiation is described as thermal radiation emitted by black holes, involving virtual particle pairs that form near the event horizon, with one particle escaping while the other falls into the black hole.
  • One participant questions whether the escaping particle is merely the absence of its antiparticle, suggesting a misunderstanding of the process of Hawking radiation.
  • Another participant clarifies that particles associated with Hawking radiation do not originate from inside the black hole but rather from the vicinity of the event horizon.
  • There is a discussion about the mechanics of virtual particle pairs and how they can separate, with one falling into the black hole and the other escaping, despite the strong gravitational pull.
  • One participant expresses a desire for a calculation regarding the frequency of such events occurring near the event horizon.
  • Concerns are raised about the implications for the conservation of energy, with a request for clarification on how energy conservation is maintained in the context of Hawking radiation.

Areas of Agreement / Disagreement

Participants exhibit a mix of understanding and confusion regarding the nature of Hawking radiation and its relationship to the Schwarzschild radius. There is no consensus on the mechanics of virtual particles or the implications for energy conservation, indicating ongoing debate and exploration of these concepts.

Contextual Notes

Participants express uncertainty about the mechanics of virtual particle pairs and the conditions under which they can escape a black hole's gravitational influence. There are unresolved questions regarding the calculations of particle escape rates and the implications for energy conservation laws.

woodysooner
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if schwarzschild radius is a pt. at which no information can come back after going in. Then what is Hawking radiation?
 
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The Schwarzschild radius is the locus of points at which the escape velocity of a mass is equal to c.

Hawking radiation is thermal radiation emitted by a black hole. Microsopically, virtual particle pairs are forming in the space near the event horizon, as they form anywhere else in space. Sometimes, one of the particles crosses the event horizon, while the other escapes. The net result looks as if the black hole emitted a particle and lost mass.

- Warren
 
thanx chroot, few question.

So the black hole doesn't emit radiation it's just the absence of the antiparticle that the particle come into view and can be seen, but tricks us because we think it just came out of the black void but it didint. am i right?

Second if a particle is connected to antiparticle and it comes close to a black hole how can it get ripped away from its antiparticle and only it fall into the black hole, wouldn't the grip be too strong for anything to escape, how can the half be sucked in and the other half run away, sounds like if it could happen it would be a one in a million shot.
 
woodysooner said:
So the black hole doesn't emit radiation it's just the absence of the antiparticle that the particle come into view and can be seen, but tricks us because we think it just came out of the black void but it didint. am i right?
Right. No particles can ever cross the event horizon from the inside to the outside. The particles that comprise Hawking radiation do NOT come from within the black hole, only from the region very close to the event horizon.

Effectively, virtual particle pairs "borrow" energy from the universe when they are created. They "return" that energy when they annihilate. In the case of Hawking radiation, however, they never re-unite. The net result is that the black hole has given up some of its energy to allow the escaped particle to exist indefinitely -- to balance the universe's energy books, so to speak.
Second if a particle is connected to antiparticle and it comes close to a black hole how can it get ripped away from its antiparticle and only it fall into the black hole, wouldn't the grip be too strong for anything to escape, how can the half be sucked in and the other half run away, sounds like if it could happen it would be a one in a million shot.
Virtual particle pairs have to have zero initial momentum when they are created. In other words, they have to be going exactly opposite directions. In a region very close to the event horizon, it happens quite regularly that one falls right in, and the other flies right off. I don't know the exact number of such events per unit time per unit surface area, but it should be easy to calculate. If you'd like me to show you such a calculation, let me know and I will look into it. Even if it's a "one in a million shot," it happens often enough to be significant.

- Warren
 
yes yes please

If it's not a bother can you show me.

I would greatly be appreciative.

also,
Effectively, virtual particle pairs "borrow" energy from the universe when they are created. They "return" that energy when they annihilate. In the case of Hawking radiation, however, they never re-unite. The net result is that the black hole has given up some of its energy to allow the escaped particle to exist indefinitely -- to balance the universe's energy books, so to speak.

I know I'm not to quick in this but can you restate the underlined part also, I see that law of conservation of mass/energy is broken, but then somehow its not. How does that work.
 

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