Vilenkin claims to have refuted the CNS conjecture

  • Thread starter marcus
  • Start date
  • Tags
    Conjecture
In summary: Vilenkin has modified the conjecture to include this kind of Bh formation, Smolin might have a point about the rate of black hole formation.In summary, Vilenkin's argument for increasing the cosmological constant in order to increase the rate of black hole formation is unconvincing.
  • #1
marcus
Science Advisor
Gold Member
Dearly Missed
24,775
792
http://arxiv.org/abs/hep-th/0610051
On cosmic natural selection
Alexander Vilenkin
4 pages

"The rate of black hole formation can be increased by increasing the value of the cosmological constant. This falsifies Smolin's conjecture that the values of all constants of nature are adjusted to maximize black hole production."

what do you think? did he succeed?

his argument involves black holes coming into existence by a "quantum fluctuation"
at one point he invokes SOLAR MASS black holes coming into existence by quantum fluctuation

I think it's great that folks like Vilenkin (prominent, Hawking-co-author etc) are sufficiently uncomfortable about CNS that one of them should try to argue it away. And also I appreciate the great lengths and effort that Vilenkin went to in the attempt.

It is all to the good. Also will force Smolin to be more specific about the "rate of black hole formation", which was always left a bit vague IIRC
 
Last edited:
Physics news on Phys.org
  • #2
here is stuff about Vilenkin
http://en.wikipedia.org/wiki/Alexander_Vilenkin
http://www.edge.org/3rd_culture/bios/vilenkin.html

103 arxiv papers
http://arxiv.org/find/grp_physics/1/au:+Vilenkin/0/1/0/all/0/1

it is great that someone of his stature is trying to dispose of CNS!also, here is another piece of good news. Carr's Cambridge Press collection of essays called Universe or Multiverse? is finally coming out. According to Vilenkin it is in press

look at his citations:
[1] Universe or Multiverse, ed. by B.J Carr (Cambridge University Press, Cambridge, in press).
[2] L. Smolin, Class. Quantum Grav. 9, 173 (1992).
[3] L. Smolin, The Life of the Cosmos (Oxford University Press, 1997).
[4] L. Smolin, in [1], arXiv:hep-th/0407213.

Smolin's essay "Scientific Alternatives to the Anthropic Principle" is what Vilenkin cites as [4] and is to be one of the chapters in Carr's book.
so that paper, http://arxiv.org/hep-th/0407213 , is finally going to appear.

It is the one which evoked notable outbursts from Leonard Susskind.

it is likely to be a nice constructive controversy :smile:
 
Last edited by a moderator:
  • #3
I think Smolin still has the stronger argument by virtue of including falsifiable predictions in his model. It is unclear if ramping up the cosmological constant is necessarily sufficient to automatically increase black hole formation rates. Assuming an accelerating universe, it implies black hole formation rates should increase proportionate to the rate of expansion. I don't see any practical way to validate this hypothesis given bean counting extragalactic solar mass black holes is not very doable.
 
  • #4
I haven't read the Vilenkin paper but if his thesis is "Higher CCs imply more black holes, while CNS implies universes evolve to maximize black holes, but our universe is observed to have a small CC, therefore CNS is false". then it misunderstands evolution. That works, whether in biological species or Alife simulation, according to two principles: The struggle is not always to the strong, or the race to the swift, and whatever works, works. It is a path through a complex environment selected ad hoc by relative success.

The point I am making is that if a large CC, as well as increasing black hole, caused the universe to be unviable in other ways, then Vilenkin's argument would be moot. And this is not just a counsel of desperation, for plenty of examples in biological evolution show that overconcentration on one benefit is a bad strategy.
 
  • #5
Correct concept - but EM tori rather than black holes

Lee Smolin has an interesting concept which Alexander Vilenkin attempts to refute.

There does appear to be an alternative interpretation of this concept - formation of EM tori - rather than black holes per se.

Torus star formation from rotating discs is discussed in Nature 28 SEP 2006 ‘Infall of gas as the formation mechanism of stars up to 20 times more massive than the Sun’ by Maria T. Beltrán, Riccardo Cesaroni, Claudio Codella, Leonardo Testi, Ray S. Furuya and Luca Olmi in the editor’s summary. doi:10.1038/nature05074
http://www.nature.com/nature/journal/v443/n7110/edsumm/e060928-06.html

Artistic illustration at NRAO ‘Astronomers Gain Important Insight on How Massive Stars Form’
http://www.nrao.edu/pr/2006/starflow/

Certainly the magnetospheres of many planets and smaller stars are electromagnetic tori.

Perhaps the galactic centers [black holes] of spiral galaxies are also electromagnetic tori.
 
  • #6
What SA said [and more eloquently]. Vilenkin's refutation is too simplistic for my taste. It does not appear to consider potential hidden interactions. Sounds like

'If 1 pill make me feel better, 100 should cure me.'
 
  • #7
I was laughing out loud at your analogy about the pills:biggrin:

AFAICS Vilenkin did not refute the CNS conjecture as Smolin has described and discussed it. Instead, it looks like Vilenkin modified the conjecture so that it is about a presumed kind of Bh which (without a verified theory of QG) we don't know exists----Bh formed by "quantum fluctuation".

so it is not a refutation so much as an interesting speculation off in a different direction.

the CNS Conjecture is essentially a challenge to find a change in one or more constants which would steadily increase abundance of stars collapsed to black holes. It is a conjecture that our set of constants is locally OPTIMIZED for stellar-collapse-to-hole.

Nevermind why we could be at a local optimum. The evolution picture is a SEPARATE ISSUE and all that goes with it. There is a factual question to be decided. The question is whether or not the constants are at a local max for stellar black hole abundance.

If they ARE at local max, then we can tell that they are, because then NO WAY YOU VARY THEM WOULD augment stellar-collapse-to-hole. On the other hand if the constants are NOT at local max, it should be straightforward to prove it by finding some way of varying them that promotes holes. So this is a question that can be settled yes or no.

Vilenkin does not manage to settle it because he goes off on a tangent and talks about the abundance of quantum fluctuation black holes. these may or may not exist and if they were to exist they might or might not have relevance to the evolution of the fundamental physical constants which are embodied in matter.

But at least now the Old Guard is attempting to dispose of CNS, and Vilenkin goes into contortions to do this. It is interesting that he has to go to such lengths. Maybe there is no simple easy way to refute CNS! And it is also interesting that now Smolin or someone will have to DEFINE MORE PRECISELY WHAT THE ABUNDANCE IS.

do we put a finite time cut-off and say the # of BH formed by stellar collapse within the first X billion years, or do some other thing to avoid infinities and make sure the concepts like abundance are well defined?
or do it "per unit volume", or what?
now that more people are interested it should be possible to make the terms of the CNS conjecture more precise.
 
Last edited:
  • #8
selfAdjoint said:
I haven't read the Vilenkin paper but if his thesis is "Higher CCs imply more black holes, while CNS implies universes evolve to maximize black holes, but our universe is observed to have a small CC, therefore CNS is false". then it misunderstands evolution. That works, whether in biological species or Alife simulation, according to two principles: The struggle is not always to the strong, or the race to the swift, and whatever works, works. It is a path through a complex environment selected ad hoc by relative success.

That is his thesis, and it does not misunderstand evolution. Analogies between CNS and biological evolution (or Alife simulations) are dangerous, because biological evolution has been going on for only a finite time, while CNS is (as far as I know) supposed to go on forever. As long as the probability of jumping out of any local maximum isn't literally zero, eventually it will happen, and eventually almost all universes will have their parameters near the global fitness maximum, so that's what CNS implies. Given an infinite number of tries, even 1 in 10^10^(...) events happen.

The point I am making is that if a large CC, as well as increasing black hole, caused the universe to be unviable in other ways, then Vilenkin's argument would be moot. And this is not just a counsel of desperation, for plenty of examples in biological evolution show that overconcentration on one benefit is a bad strategy.

Well, what do you mean by "unviable"? In the CNS model, black hole production is the same as fitness. Overconcentrating on fitness itself is (pretty much by definition) not a bad strategy. Eventually, almost all universes will be optimized for black hole production and nothing else. So unless you're saying that having a larger CC does not give you more black holes, I don't see what your point is.
 
  • #9
Do I mis-read Vilenkin here? He seems to be claiming that given a high enough CC, stars capable of gravitational collapse to BHs will arise from the vacuum as the result of quantum fluctuations.

If, for some reason, one does not trust semiclassical gravity, one can argue on general grounds that quantum fluctuations resulting in a local increase of energy density and leading to black hole formation do not violate any conservation laws and should therefore have a nonzero probability. Even if one insists that universes can be created only in black holes resulting from stellar collapse, suitable stars will pop out as quantum fluctuations in de Sitter space at a nonzero rate (assuming that the radius of the star is much smaller than the de Sitter horizon). Quantum fluctuations generally get stronger when CC is increased (since the effective de Sitter temperature gets higher). Thus, black hole production should increase with increase of CC.

It is by now non-controversial that virtual-particle pairs arise and annihilate within the time allowed by the HUP. Additionally, we should expect that some portion of these virtual particles are promoted to real (persistent) status through an infusion of energy (Hawking's BH evaporation model is one such possibility), but whole stars? Is there any school of thought supporting such an idea?
 
  • #10
turbo-1 said:
but whole stars? Is there any school of thought supporting such an idea?

I'd guess that if single particles can pop out of the vacuum, then if by some preposterous coincidence it happens to a lot of particles at the same time, you suddenly have a star popping out of the vacuum. It seems like another one of those hugely improbable things that will happen if you try infinitely often.
 

FAQ: Vilenkin claims to have refuted the CNS conjecture

What is the CNS conjecture?

The CNS conjecture, also known as the Cosmic No-Hair Conjecture, is a hypothesis in cosmology that suggests that the only relevant information needed to describe a universe is its mass, angular momentum, and electric charge. It implies that all other information, such as the initial conditions and the history of the universe, are irrelevant.

Who is Vilenkin and what did he claim?

Alex Vilenkin is a Russian-American theoretical physicist who is known for his contributions to cosmology and the concept of eternal inflation. He claimed to have refuted the CNS conjecture in a paper published in 1984, stating that there are certain situations where the initial conditions and history of the universe can have a significant impact on its evolution.

How did Vilenkin come to this conclusion?

Vilenkin used mathematical models and calculations to demonstrate that in certain scenarios, such as the formation of black holes, the CNS conjecture does not hold true. He also provided evidence from observations of our own universe that suggest the existence of information beyond the mass, angular momentum, and electric charge of the universe.

Has Vilenkin's claim been accepted by the scientific community?

Vilenkin's paper received widespread attention and sparked debates among cosmologists. While some scientists have accepted his findings, others have raised criticisms and alternative explanations. The debate is ongoing and more research is needed to fully understand the validity of Vilenkin's claim.

What are the implications of Vilenkin's claim?

If Vilenkin's claim is proven to be true, it would challenge the fundamental assumptions of the CNS conjecture and have significant implications for our understanding of the universe's evolution. It would also open up new avenues for research and potentially lead to a better understanding of the laws that govern our universe.

Similar threads

Replies
28
Views
4K
Replies
5
Views
2K
Replies
9
Views
3K
Replies
1
Views
2K
Replies
9
Views
2K
Back
Top