Mathematics – Logic
Scientific paper
Apr 2006
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006aps..apr.d1012g&link_type=abstract
American Physical Society, APS April Meeting, April 22-26, 2006, abstract #D1.012
Mathematics
Logic
Scientific paper
Neutrinos are the lightest known leptons in the Universe. We start from the hypothesis that neutrinos are the predominant contributor to the cosmological vacuum and their oscillations are the sole detectable evidence for vacuum fluctuations on the cosmic scale. Let δm12^2 =m1^2 -m2^2 represent the difference in mass squares for two consecutive neutrino mass eigenstates. Considering that there is roughly one quasi-particle of mass δm12 per each Compton wavelength cubed (λc^3 ˜δm12-3 ), the quantum expectation value of the vacuum density is given by [ ρvac 10^13(0.7exδm12 / δm12 mproton .- 0.7exmproton )^4(g/cc) ] Inserting the upper bounds on δm12 from neutrino physics experiments (δm12,sol^2 <9.5x10-5eV^2, δm12,atm^2 <4.8x10-3eV^2), we derive [ ρvac,sol <1.165x10-31(g/cc) ] [ ρvac,atm <2.973x10-28(g/cc) ] These predictions agree well with recent supernova results [ρvac <6x10-30(g/cc)] and latest astrophysical data that place the ``observed'' cosmological constant at 0.7exλ / λ8πG.- 0.7ex8πG (2x10-3eV)^4.
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