Abstract:

Based on the cosmological space-time background, the correction of space curvature and cosmological torsion to the neutrino-scattering-matrix element is calculated under the lowest-order approximation of perturbation theory. The result shows that a non-flat spatial curvature and cosmological torsion field can shift the peak position energy of the background radiation spectrum of cosmological neutrinos. Based on astronomical observation data and three types of Padé parameterizations, the magnitude of the effects of spatial curvature and cosmological torsion on the peak position shift of neutrinos is calculated. The result shows that positive and negative spatial curvatures cause the peak position of the neutrino background radiation spectrum to shift to the right and left, respectively. Cosmological torsion causes the peak position of the background radiation spectrum of the neutrinos to shift to the right, and because of the different coupling of Dirac and Majorana neutrinos with vector torsion, the right-shift degrees of their peak positions are different. This provides a solution for distinguishing the fermion types of neutrinos, eliminating the parameter degeneracy of dark energy and spatial curvature, and for determining the essence of dark energy.

Key words: spatial curvature, neutrinos, quantum scattering, torsion