On the possibility of torsion detection from neutrino cosmology and PMF

TL;DR

This paper uses neutrino cosmology to set bounds on torsion, Lorentz violation, and primordial magnetic fields, finding more stringent limits and suggesting potential detectability of torsion at LHC energies.

Contribution

It introduces new bounds on torsion and Lorentz violation from neutrino cosmology, improving previous limits and linking early universe physics to collider energies.

Findings

More stringent bounds on axial torsion ($T^{0}\le 10^{-38} GeV$) using gravitational constant $G_N$.

Primordial magnetic field bounds around $10^{21} G$ compatible with previous studies.

Potential for detecting torsion at LHC energy levels ($\\sim 10 MeV$).

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.