Are black holes bosons or fermions?

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Discussion Overview

The discussion centers on whether black holes can be classified as bosons or fermions, exploring the implications of their mass, angular momentum, and properties in quantum mechanics. Participants examine the nature of black holes in relation to particle physics, including the characteristics of angular momentum and the behavior of particles in quantum fields.

Discussion Character

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

Main Points Raised

  • Some participants question whether the angular momentum of black holes is an integer or half-integer, and what occurs when two black holes are exchanged.
  • There are claims that black holes can emit fermions, with references to virtual particles and quantum fluctuations, though some express uncertainty about these ideas.
  • A distinction is made between angular momentum and spin, with discussions on how these concepts apply differently in classical and quantum contexts.
  • Some argue that the properties of black holes, defined by mass, charge, and angular momentum, resemble those of elementary particles, while others contend that this comparison oversimplifies the complexity of black holes.
  • Participants discuss the implications of black holes being composed of matter and whether they can be classified as fermions or bosons, with references to examples like Cooper pairs and helium-4.
  • There is mention of mini black holes and their potential characteristics, as well as the role of bosons in the collapse of matter into singularities.
  • Some participants express skepticism about the ability to classify black holes in the same way as ordinary particles due to their unique properties and the current understanding of singularities.

Areas of Agreement / Disagreement

The discussion remains unresolved, with multiple competing views on the classification of black holes as bosons or fermions. Participants express differing opinions on the implications of black hole properties and their relationship to particle physics.

Contextual Notes

Participants highlight the limitations of current understanding in quantum mechanics and general relativity, particularly regarding the nature of black holes and the definitions of particles. There are unresolved questions about the application of quantum statistics to composite objects and the criteria for classifying entities as bosons or fermions.

franoisbelfor
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The question says it all. Black holes have mass, and they
have angular momentum.
- Is the angular momentum an integer or half an integer? Or neither/both?
- What happens when two black holes are exchanged?

François
 
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If bosonic matter collapses, it can create a Black Hole, and from what I've read, Black Holes emit fermions.

I am not completely sure though, as this is out of my league.
 
Angular momentum and spin are different things.

Disclaimer about the league holds here as well.
 
The definition of particles in QM comes from the theory of representations of the Poincaré group, or to put it another way, the particle concept is very intimately connected to the properties of flat spacetime. So it doesn't seem to make much sense to try to apply the defintition of a particle to a black hole.
 
Division said:
from what I've read, Black Holes emit fermions. I am not completely sure though, as this is out of my league.
this is because of virtual particles they have been discussed many times in many forums but briefly, they are particle/antiparticle pairs that are created in a vacuum with no energy from quantum fluctuations that usually annihilate and return the borrowed energy but, just one of these particles can cross the event horizon leaving the other and it appears as if the black hole is radiating particles
 
franoisbelfor said:
The question says it all. Black holes have mass, and they
have angular momentum.
- Is the angular momentum an integer or half an integer? Or neither/both?
- What happens when two black holes are exchanged?

François

Can you first of all tell if, say, the Earth is a boson or a fermion?

If you can't answer that, or if the question really is meaningless, then how are we supposed to be able to answer something that is even MORE EXOTIC?

Zz.
 
I don't think anyone knows enough to say exactly what is black hole is yet, but considering it's a collapsed star it seems unlikely we can characterize it quite so simply. And the incredibly high entropy of a typical black hole suggests its a lot more than either a boson or fermion...It does not seem we'll have much of an understanding of singularities until we get quantum theory and relativity combined or somebody comes up with something even more insightful...
 
ZapperZ said:
Can you first of all tell if, say, the Earth is a boson or a fermion?

If you can't answer that, or if the question really is meaningless, then how are we supposed to be able to answer something that is even MORE EXOTIC?
I think his point was that according to the theory, the properties of a black hole are completely represented by a short list of numbers: mass, charge and angular momentum. The only other objects in the universe that can be characterized this way are elementary particles. So black holes have a lot in common with particles, while the Earth doesn't.
 
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ZapperZ said:
Can you first of all tell if, say, the Earth is a boson or a fermion?

The Earth is a boson. Fermions are only the same after rotations by 4 pi, the Earth is the same after 2pi, I would say.

François
 
  • #10
franoisbelfor said:
The Earth is a boson. Fermions are only the same after rotations by 4 pi, the Earth is the same after 2pi, I would say.

François

Really! Yet, I can distinguish the Earth rather easily and track it's path, etc. Did you not care about the indistinguishibility of bosons when you make such a statement? What statistics did you use to arrive at such a conclusion? It certainly isn't QM.

Can you also please tell me the "spin quantum number" of the Earth?

Zz.
 
  • #11
Fredrik said:
I think his point was that according to the theory, the properties of a black hole are completely represented by a short list of numbers: mass, charge and angular momentum. The only other objects in the universe that can be characterized this way are elementary particles. So black holes have a lot in common with particles, while the Earth doesn't.

So can a lot of classical objects!

Yet, the term "angular momentum" for quantum particles take on a DIFFERENT meaning than classical objects. Did we settle already that classical angular momentum is the SAME thing as quantum angular momentum? Since when?

And since when can a non-coherent composite object be considered a boson or a fermion? Look at any composite bosons that we know of. What is the MAIN criteria for that whole entity to be considered as a composite boson? Need an example? Look at the Cooper pairs.

Zz.
 
  • #12
ZapperZ said:
And since when can a non-coherent composite object be considered a boson or a fermion? Look at any composite bosons that we know of. What is the MAIN criteria for that whole entity to be considered as a composite boson?
That its Hilbert space is the representation space of an irreducible representation of the Poincaré group?
 
  • #13
No, spin-statistics doesn't need the existence of a rep of the Poincare group. It only needs the existence of antiparticles.
 
  • #14
How about if we consider black holes that are really mini, instead of a classical ones...
 
  • #15
Fredrik said:
That its Hilbert space is the representation space of an irreducible representation of the Poincaré group?

Then show me the difference between an "ordinary" liquid helium He4 in "normal" phase versus the superfluid phase. Why does it have to go below some critical temperature for the BE condensation to take place if "the whole earth" is a boson already?

Zz.
 
  • #16
I can't answer that, since I haven't studied superfluidity, and I most certainly haven't suggested that the Earth is a boson. :smile:
 
  • #17
A black hole would be a fermion because it is made of matter. Bosons are generally force carriers, so this means that black holes emit fermions (gravitons). I'm pretty sure I'm right here, but please tell me if I'm wrong...I'm learning too!
 
  • #18
if gravitons exist, they are bosons with a spin of 2
 
  • #19
Modman said:
A black hole would be a fermion because it is made of matter. Bosons are generally force carriers, so this means that black holes emit fermions (gravitons). I'm pretty sure I'm right here, but please tell me if I'm wrong...I'm learning too!

He4 is "matter", and so are Cooper pairs. Yet, they are BOSONS. This fact already falsified what you wrote.

Zz.
 
  • #20
yenchin said:
How about if we consider black holes that are really mini, instead of a classical ones...

how big are classical black holes?
 
  • #21
Are Boson's the only particle that would allow a Black Hole to collapse down to a singularity?
 
  • #22
despite all of the bashing this question has received i think that there might be some merit to it; you can't say that the Earth is a boson or a fermion because there are an enormous amount of variables needed to describe a planet; however, black holes are described by three things: mass, charge, and spin; remind you of anything? also, string theory says that black holes, the micro ones i think, are a phase change of matter... something about the calabi-yau shapes i don't really understand it
 

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