Black Hole Explosions: Hawking's 1974 Letter to Nature

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Discussion Overview

The discussion revolves around the implications of Stephen Hawking's 1974 letter regarding black hole evaporation, particularly in the context of generating black holes in particle accelerators. Participants explore the theoretical aspects of black hole formation, evaporation rates, and the energy requirements for such processes.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant questions the safety of generating black holes in particle accelerators, referencing Hawking's claims about small black holes and their potential explosive energy release.
  • Another participant argues that any black hole formed would evaporate quickly, suggesting that the energy of its evaporation cannot exceed the energy input from the accelerator beam.
  • A participant highlights that the evaporation time of a generated black hole would be significantly shorter than the time frame mentioned in Hawking's letter, due to its small mass.
  • Concerns are raised about the feasibility of producing black holes of any size in particle accelerators, with some suggesting that only tiny, short-lived black holes might be possible.
  • One participant states that the energy required to create a black hole is immense, noting that the smallest theoretical mass for a black hole is the Planck mass, which is beyond current collider capabilities.
  • Another participant introduces the idea that if new physics exists below the Planck scale, such as extra dimensions, it might allow for black hole formation at lower energy levels, potentially within the range of the LHC.

Areas of Agreement / Disagreement

Participants express differing views on the possibility and implications of generating black holes in particle accelerators. While some agree that producing black holes is highly unlikely due to energy constraints, others speculate on the potential for new physics to alter this understanding. No consensus is reached regarding the safety or feasibility of such experiments.

Contextual Notes

Participants acknowledge limitations in their discussions, particularly regarding assumptions about current physics and the speculative nature of theories involving extra dimensions or lower energy scales for black hole formation.

stoomart
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In Hawking's "Black hole explosions?" 1974 letter to Nature, he states:
There might, however, be much smaller black holes which were formed by fluctuations in the early Universe. Any such black hole of mass less than 1015 g would have evaporated by now. Near the end of its life the rate of emission would be very high and about 1030 erg would be released in the last 0.1 s. This is a fairly small explosion by astronomical standards but it is equivalent to about 1 million 1 Mton hydrogen bombs.
My question is: wouldn't it be a terrible idea to generate a black hole of any size in a particle accelerator?

http://www.nature.com/nature/journal/v248/n5443/abs/248030a0.html
 
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You seem to be missing out on the fact that you can never get a black hole evaporation more energetic than whatever you put in the beam.

Any black hole generated would evaporate extremely fast.
 
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Orodruin said:
You seem to be missing out on the fact that you can never get a black hole evaporation more energetic than whatever you put in the beam.

Any black hole generated would evaporate extremely fast.
That makes sense. I guess the key from the letter is "released in the last 0.1 s"; the generated black whole would evaporate in an exponentially shorter time than 0.1 s due its trivial mass. Thanks as always.
 
stoomart said:
... wouldn't it be a terrible idea to generate a black hole of any size in a particle accelerator?
Yes it would, but a particle accelerator can't produce a black hole of any size.
Tiny ones that are short lived, well maybe.
 
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stoomart said:
That makes sense. I guess the key from the letter is "released in the last 0.1 s"; the generated black whole would evaporate in an exponentially shorter time than 0.1 s due its trivial mass. Thanks as always.
Right. It would evaporate within at most a few Planck times.
rootone said:
Yes it would, but a particle accelerator can't produce a black hole of any size.
Tiny ones that are short lived, well maybe.
A "tiny one" is a size I think.
No signs of black holes at the LHC, and theories suggesting that they could be produced were very speculative anyway.
 
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The energy necessary to produce a black hole of any size is huge. The smallest possible theoretical mass for a black hole is the Planck mass - 1018 GeV. That is far beyond the reach of any existing, or even imagined, collider.
 
Chronos said:
The energy necessary to produce a black hole of any size is huge. The smallest possible theoretical mass for a black hole is the Planck mass - 1018 GeV. That is far beyond the reach of any existing, or even imagined, collider.
If there is no new physics below the Planck scale. Extra dimensions or other additional things could make the Planck scale much lower, and allow black hole formation with a few TeV - in the range of the LHC.
 
Agreed, my observations are constrained to physics as currently known.
 

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