Can Two Neutrinos Form a Black Hole?

[Jonnyb42]

Hm, I wonder since neutrino's have no electric charge or color charge, but do have mass, is it possible for two neutrinos to come so close together that they collapse on themselves? Although the gravitational field between just two neutrinos is extremely small, it should still be possible right if they have no other interaction with each other?

Of course, the idea could be expanded to LOTS of neutrinos, but I am curious of just two.
What would happen??

Thanks

 

[Superstring]

No. I calculated the schwarzchild radius of two of the largest neutrino mass estimations I could find to be significantly smaller than a Planck length.

 

[Jonnyb42]

Wow, how interesting! So the Planck length is really considered to be the smallest length?

 

[Nabeshin]

Indeed, if you had a bunch of neutrinos you could form a black hole.

As for the Planck length, it's not really the smallest length. It's the approximate length scale at which we think Quantum Gravity will become important. So I guess you could say it's the smallest length scale we can reasonably probe with our current theories, since we have no good theory of QG right now.

 

[pmacias]

for your question. It is an interesting concept to consider whether neutrinos, with their unique properties of having mass but no electric charge or color charge, could potentially form black holes. However, it is currently not believed to be possible for two neutrinos to collapse on themselves and form a black hole. This is because the gravitational force between two neutrinos is extremely weak, and would not be strong enough to overcome the repulsive forces between them. Additionally, the mass of a single neutrino is incredibly small, making it unlikely to have enough mass to form a black hole even if it were able to collapse.

However, as you mentioned, this idea could potentially be expanded to a larger number of neutrinos. In theory, if there were a large enough number of neutrinos in a small enough space, the gravitational force between them could become strong enough to cause a collapse and potentially form a black hole. However, this is purely hypothetical and has not been observed or proven to be possible.

In conclusion, while it is intriguing to consider the possibility of neutrinos forming black holes, it is currently not believed to be possible due to their properties and the limitations of their interactions. More research and observation is needed to fully understand the behavior of neutrinos and their potential role in the formation of black holes.