Black holes and only photons going in

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Discussion Overview

The discussion explores the implications of building a Dyson sphere around a black hole, particularly focusing on the effects of adding photons to the system and the potential for energy extraction. It touches on theoretical concepts related to entropy, mass-energy equivalence, and Hawking radiation.

Discussion Character

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

Main Points Raised

  • Some participants propose that surrounding a black hole with a Dyson sphere and adding photons would increase the black hole's mass due to the energy of the photons, thus affecting its radius.
  • Others argue that this setup does not use a fixed amount of space, as the mass-energy of the black hole increases with the addition of photons.
  • A participant suggests that the concept resembles a highly energy-dense battery, where charging involves adding photons and discharging involves extracting Hawking radiation.
  • Some participants express concerns about controlling the rate of energy extraction from the black hole, noting that the Penrose process might be a better alternative, though it requires a rotating black hole.
  • There is a discussion about the thermal nature of energy extraction methods and the potential for heat generated by Hawking radiation to be radiated back into the black hole, complicating energy extraction efforts.
  • One participant highlights that the black hole radiates at a fixed rate, which limits the maximum energy that can be extracted, emphasizing the slow rate of energy production from sizable black holes.

Areas of Agreement / Disagreement

Participants express various viewpoints regarding the implications of adding photons to a black hole and the feasibility of energy extraction methods. No consensus is reached, as multiple competing ideas and concerns are presented throughout the discussion.

Contextual Notes

Limitations include assumptions about the behavior of photons in relation to black holes, the dependence on the definitions of energy extraction methods, and unresolved questions regarding the mechanics of Hawking radiation and its extraction.

stanjones
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Build a Dyson sphere around a black hole (this is a thought experiment), so no more mass "falls in". Line the sphere with insanely bright lights. What happens to the black hole?

I ask this because Prof. Sean Carroll in "From Eternity To Here" discusses whether there is a limit to the entropy that can be put in a fixed space. He mentions using photons, but then drops that line of inquiry.
 
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welcome to pf!

hi stan! welcome to pf! :smile:
stanjones said:
Build a Dyson sphere around a black hole (this is a thought experiment), so no more mass "falls in". Line the sphere with insanely bright lights. What happens to the black hole?

the photons (although they have no rest-mass) have energy and therefore mass, so the black hole gets more massive, and the Dyson sphere is now in the wrong position :wink:
 
Amplifying on what tiny-tim said, a black hole's radius is proportional to its mass-energy. As you add photons to it, its mass-energy increases, and so does its radius. Therefore you aren't using a fixed amount of space.
 
Thank you both. I re-read the section in Carroll's book and it makes sense now, which for such a non-intuitive subject is something.
 
Sound like the most energy dense battery you could ever make. To charge it you turn on the lights and add photons/mass. To discharge you absorb hawking radiation and convert it to a usable form. Should work as long as you don't let the black hole completely evaporate.
 
mrspeedybob said:
To discharge you absorb hawking radiation and convert it to a usable form. Should work as long as you don't let the black hole completely evaporate.

Unfortunately if you want to do this you have no control over the rate of energy extraction. Much better to use the penrose process, but that requires a rotating hole.
 
Nabeshin said:
Unfortunately if you want to do this you have no control over the rate of energy extraction. Much better to use the penrose process, but that requires a rotating hole.

Sure you could control the rate of extraction...

Suppose your extraction method is thermal in nature. Hawking radiation heats the inside of the containment sphere. From there the heat either goes through a heat engine and performs work, gets radiated away from the black hole, or gets radiated back toward it where it falls back in. If you decide to run your heat engine at less then full capacity and your sphere is well insulated then most of the remaining energy from the hawking radiation will be coveted into heat and radiated right back into the hole.
 
mrspeedybob said:
Sure you could control the rate of extraction...

Suppose your extraction method is thermal in nature. Hawking radiation heats the inside of the containment sphere. From there the heat either goes through a heat engine and performs work, gets radiated away from the black hole, or gets radiated back toward it where it falls back in. If you decide to run your heat engine at less then full capacity and your sphere is well insulated then most of the remaining energy from the hawking radiation will be coveted into heat and radiated right back into the hole.

But the black hole radiates at a fixed rate! So if your black hole is radiating 10J/s, you cannot extract more than 10J/s (as you point out, you can extract less, but not more). And since the radiation rate for any sizable black hole is paltry at best, you'll need to wait a very long time to get a sizable sum of energy.
 

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