Einstein's relativity principle and the quantum principle have been established as two conceptual pillars in the 20th Century. At the beginning of the 21st Century，it is widely believed that there are the smallest units of matter, such as electrons, neutrinos, quarks, etc., a finite number of them. Meanwhile, our Universe are a specific physical system that satisfies the two pillars of the 20th Century and that there exist the smallest units of matter, such as electrons, neutrinos, and quarks, a finite of them; that is, it is the quantum 4-dimensional Minkowski space-time with theforce-fields gauge-group structure SUc (3) x SUL(2) x U(1) x SUf (3) built-in from the very beginning. In such picture of our Universe, a neutrino halo, as attached to a visual ordinary-matter macroscopic object (in the 1- 1 correspondence)，such as the Earth, the Venus, theSun, and the stars, which accounts for five times in weight the dark-mattercosmic background neutrinos (CB??′s) , should possess a Fermi-Dirac sphere withthe Fermi energy as high as 600 GeV for the Earth. The detection of the presenceof the Fermi-Dirac sphere of the neutrino halo of the Earth (or, of the Venus) becomes of thecritical importance. The reaction ?? (Solar) + ?? (CB; ????) → ??? + ??+, with MeV solar neutrinos, becomespossible; otherwise，the reaction threshold of the beam neutrino for an antineutrino at restwould be 1013 eV for the neutrino mass of 0.058 eV, impossible for MeV solar neutrinos. We suspectthat the AMS experiments already detect the maximurn Fermi surface effect (i.e., the Fermi energy ????, 600 GeV) of the Fermi-Dirac sphere of the neutrino halo of the Earth while a couple of PeV neutrinos already reported by IceCube may come from the high-energy tail of the ~ 600 GeV surface of the Fermi-Dirac sphere of the neutrino halo of the Earth.
