On the possibility of torsion detection from neutrino cosmology and PMF

Abstract

A cosmological neutrino sea model is used to place bounds on torsion and Lorentz violation and primordial magnetic fields. When one uses gravitational newtonian constant $G_{N}$ we obtain more stringent bounds than the ones obtained by Kostelecky and Russel [PRL,(2001)] which is of the order of $T^{0}\le{10^{-31}GeV}$ axial torsion, which is $T^{0}\le{10^{-38}GeV}$. When the strong gravity f-meson dominance gravitational constant $G_{f}\sim{10^{38}G_{N}}$ the torsion bound LV is too high of the order of $10^{-2}GeV$. Primordial magnetic field bounds also based on neutrino oscillation is founded to be $B_{\nu}\sim{10^{21}G}$ which is compatible with Enqvist et al [PRL.(1998)]. Earlier the author [MPLA (2011)]has found a bound for torsion of the order $10^{-37}GeV$ from CP ${\alpha}^{2}-dynamos$ which still not as stringent as the present limit of this paper. By computing the ratio $r=\frac{{\rho}_{B}}{{\rho}_{\gamma}}\sim{10^{-37}}$ in the case of Planck temperatures, shows that r maybe too low to need dynamo action amplify magnetic fields. The most important result of the paper is that making use of cosmological neutrinos in early universe a detectable torsion value of $T\sim{10MeV}$ in present level of energies of LHC is obtained.