What is the smallest mass needed to create a black hole?

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Discussion Overview

The discussion revolves around the smallest mass required to create a black hole, exploring both theoretical and speculative aspects of black hole formation, including micro black holes and the implications of collisions in high-energy environments.

Discussion Character

  • Exploratory
  • Debate/contested
  • Technical explanation

Main Points Raised

  • Some participants propose that micro black holes could be produced in high-energy accelerators, potentially evaporating into Hawking radiation.
  • One participant suggests that the smallest mass needed to form a black hole might be the Planck mass.
  • Another participant notes that the critical mass for black hole formation is defined by the volume in which the mass is contained, allowing for the possibility of forming a black hole from a mass less than the critical mass through collisions.
  • There is a suggestion that a solar mass of about 13.5 times that of the sun might be necessary for gravity alone to produce a black hole, questioning whether an implosive force could compress a sub-black hole mass into a stable black hole.
  • One participant emphasizes that no black hole is stable due to evaporation, referencing Hawking's calculations and asserting that this is independent of various theoretical models.
  • There is mention of the possibility of lowering the classical mass value required for black hole formation if large extra dimensions are considered.

Areas of Agreement / Disagreement

Participants express differing views on the mass required to create a black hole, with some focusing on theoretical limits like the Planck mass and others discussing astrophysical masses such as solar masses. The discussion remains unresolved regarding the feasibility of forming black holes from sub-critical masses and the implications of various forces.

Contextual Notes

The discussion includes speculative elements about black hole formation in high-energy collisions and the role of volume in defining critical mass, which may depend on additional assumptions not fully explored in the thread.

chemisttree
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What is the smallest mass required to produce a black hole? I seem to remember that some particles in a high energy accelerator could collide and produce tiny black holes that would then evaporate into Hawking radiation.

Could a mass that is less than the critical mass required to produce a black hole be made into one through some collision or explosive force?
 
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I think those black holes are called micro black holes (where they ever observed?). The smallest mass needed would probably be Planck mass.
 
Last edited:
chemisttree said:
Could a mass that is less than the critical mass required to produce a black hole be made into one through some collision or explosive force?
The critical mass is actually defined by the volume into which you enclose it. Therefore, for a given mass you can find a volume for which a black hole will form. That is the idea behind those collision.

This is speculative, it has not actually been observed.
 
I was thinking more along the line of a solar mass of about 13.5 times our sun. If we assume that a mass of 14 times our sun is required for gravity alone to produce a black hole, could an implosive force (shock) compress the sub-black hole mass into a black hole and if so, would the resulting black hole be stable?
 
chemisttree said:
I was thinking more along the line of a solar mass of about 13.5 times our sun.
So that is not going to happen in an accelerator
If we assume that a mass of 14 times our sun is required for gravity alone to produce a black hole, could an implosive force (shock) compress the sub-black hole mass into a black hole and if so, would the resulting black hole be stable?
Technically, no black hole is stable. They evaporate (and we are fairly conviced that this is correct, independently of models, I mean it does not rely on string "theory" or LQG or whatever... the calculations of Hawking are semi-classical QFT in curved space-time).

I must admit that I do not fully understand you concerns :rolleyes:
Producing micro black-hole[/color] at an accelerator simply consists in having a sufficient amount of matter(-energy) in a sufficiently small amount of space(-time). Of course we cannot get up to the Planck mass in accelerators, but this classical value can be lowered if (for instance) there are "large" extradimensions.

A good entry point in the literature is this article on Black Holes at Accelerators[/color]
 

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