Minimal mass from cosmological constant?

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SUMMARY

The discussion centers on the relationship between neutrino mass and the cosmological constant (cc), specifically suggesting that the lightest neutrino's mass may approximate the fourth root of the cc. Key references include a paper demonstrating that a positive cosmological constant necessitates a minimal mass and density in nature, and another deriving a lower mass bound for rotating bodies in general relativity with a positive cc, suggesting a neutrino rest mass of approximately 1 meV. The conversation explores the implications of these findings for cosmic inflation and the interplay between gravity and electroweak interactions.

PREREQUISITES
  • General relativity principles
  • Understanding of the cosmological constant (Λ)
  • Neutrino physics, particularly neutrino mass and magnetic moment
  • Electroweak symmetry breaking concepts
NEXT STEPS
  • Research the implications of the Buchdahl inequality in cosmology
  • Study the role of neutrinos in cosmic inflation theories
  • Examine the relationship between gravity and electroweak interactions
  • Explore recent papers on neutrino mass bounds and their citations
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Physicists, cosmologists, and researchers interested in the intersections of neutrino physics, general relativity, and cosmological theories.

JollyJoker
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I'm not sure in which forum this should go, but I hope this is close enough.

I recently realized that the lightest neutrino could be close in mass to the fourth root of the cosmological constant and found out I'm (unsurprisingly) not the first one to think of this after some googling. The first papers I found were somewhat interesting, but have few citations and their ideas seem to be ignored in most of the papers relating neutrino mass and cc.

http://arxiv.org/abs/gr-qc/0509110"

"Abstract: We show that in the framework of the classical general relativity the presence of a positive cosmological constant implies the existence of a minimal mass and of a minimal density in nature. These results rigorously follow from the generalized Buchdahl inequality in the presence of a cosmological constant. "

http://www.springerlink.com/content/u510l1mg85p963r1/"

"Abstract A lower bound for the mass of a rotating body is derived in the general relativity theory with positive cosmological term Λ. The bound suggests a neutrino rest mass ∼1 meV and a neutrino magnetic moment of 10−41 erg/gauss ∼ Planck's magnetic moment. A connection between gravity and electroweak interaction is suggested. "

Would anyone know if these conclusions would be obviously wrong, based on unfounded assumptions or otherwise invalid? An inequality showing that a given cosmological constant requires a minimum rotating mass, or even more interestingly the other way around; existence of a massive rotating particle forces the cosmological constant to be at most a given value, seems more than a little useful for explaining the low value of the cc.

One could even speculate that this would explain cosmic inflation if the neutrino masses didn't exist before electroweak symmetry breaking.

Any thoughts on this? Too good to be true? Just plain wrong?
 
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I don't know that you can backtrack this beyond the Higgs Mechanism, i.e. before electroweak symmetry breaking. This strikes me as an artifact of the math relating to the general concept IMO.
 

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