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

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The smallest mass required to create a black hole is often considered to be the Planck mass, although some discussions suggest that micro black holes could theoretically form through high-energy collisions in accelerators. The critical mass for black hole formation is influenced by the volume in which the mass is contained, allowing for the possibility of creating black holes from masses below the traditional threshold through extreme compression. While the idea of using implosive forces to create a black hole from a mass of around 13.5 solar masses is proposed, it is noted that no black hole is truly stable due to Hawking radiation. The production of micro black holes remains speculative and has not been observed, but it is suggested that advancements in understanding dimensions could lower the required mass for creation. Overall, the discussion highlights the complexities and theoretical considerations surrounding black hole formation.
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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.
 
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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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