Why can Hawking Radiation not work in reverse?

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Discussion Overview

The discussion revolves around the concept of Hawking radiation and the possibility of it occurring in reverse. Participants explore the implications of energy conservation in the context of black holes, antiparticles, and the surrounding vacuum energy. The conversation includes theoretical considerations and challenges to existing explanations.

Discussion Character

  • Debate/contested
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant suggests that if a black hole emits an antiparticle, it could add negative energy to the surrounding space while the other particle adds positive energy to the black hole, thus conserving energy.
  • Another participant references a source indicating that a positive-energy particle cannot cross the event horizon while leaving a negative-energy particle outside, asserting that black holes can lose energy but not gain it.
  • A participant argues that antiparticles do not equate to negative energy, emphasizing that all antiparticles possess positive energy and that energy is relative to the surrounding environment.
  • Some participants express skepticism about the explanation provided by the referenced source, questioning the notion that frequencies lack a sign and asserting that antimatter always has positive energy.
  • One participant introduces the idea that Hawking radiation could work in reverse if a black hole is placed in a warm heat bath, suggesting that this could lead to radiation flowing into the black hole and increasing its mass.
  • A follow-up question seeks clarification on the term "zero level" in relation to temperature and its significance to the black hole's environment.

Areas of Agreement / Disagreement

Participants express differing views on the nature of antiparticles and their energy, as well as the feasibility of Hawking radiation occurring in reverse. There is no consensus on these points, and the discussion remains unresolved.

Contextual Notes

Participants highlight the relative nature of energy and the implications of gravitational fields on vacuum energy, but these aspects remain complex and not fully resolved within the discussion.

rollcast
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I understand that to obey conservation that the black hole must lose energy and mass and the surrounding space must gain an equal amount of energy and mass.

Then why can the antiparticle not be emitted from the black hole, adding negative energy and mass to the surrounding space, and the other particle goes to the singularity and adds positive energy and mass to the black hole?

Surely this still obeys conservation as the surrounding space appears to lose energy and mass, by the addition of negative energy and mass, and the black hole will gain an equal amount of energy and mass?

Thanks
AL
 
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From the end of

http://www.physics.ucdavis.edu/Text/Carlip.html#Hawkrad.

Note that this doesn't work in the other direction -- you can't have the positive-energy particle cross the horizon and leaves the negative- energy particle stranded outside, since a negative-energy particle can't continue to exist outside the horizon for a time longer than h/E. So the black hole can lose energy to vacuum fluctuations, but it can't gain energy.
 
rollcast said:
Then why can the antiparticle not be emitted from the black hole, adding negative energy and mass to the surrounding space, and the other particle goes to the singularity and adds positive energy and mass to the black hole?

Antiparticle != negative energy. Any antiparticle is going to have positive energy.

Also energy is not absolute but relative to something. The vacuum around a black hole has non-zero energy due to the gravitational field and the field can generate particle/anti-particle pairs with the one of the pairs falling into the event horizon.

I'm not sure that I agree with Carlip's explanation. Frequencies don't have a sign, and antimatter always has positive energy.

Also Hawking radiation can work in reverse. If you put a black hole in a warm heat bath, you are increasing the "zero level" of the space around it, and then you cause radiation to flow into the black hole making it bigger.
 
Twofish, isn't that happening with pretty much all black holes by absorbing the CMB?
 
twofish-quant said:
Antiparticle != negative energy. Any antiparticle is going to have positive energy.

Also energy is not absolute but relative to something. The vacuum around a black hole has non-zero energy due to the gravitational field and the field can generate particle/anti-particle pairs with the one of the pairs falling into the event horizon.

I'm not sure that I agree with Carlip's explanation. Frequencies don't have a sign, and antimatter always has positive energy.

Also Hawking radiation can work in reverse. If you put a black hole in a warm heat bath, you are increasing the "zero level" of the space around it, and then you cause radiation to flow into the black hole making it bigger.
Hi,
Can you clarify what you mean't by "zero level" above. Is it temperature relative to the BH ?
 

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