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Neutrinos are electrically neutral particles. This feature allow neutrinos to be "Majorana particles". If neutrinos are Majorana particles, we can explain why our universe is dominated by matters. Searching for neutrino less double beta decay is hopeful way to reveal the Majorana nature of neutrinos.
Cosmic Microwave Background (CMB) is black body radiation propagated from the re-ionization era to us. If we would find a special pattern in
polarization component of the CMB, we can reveal that our universe started with "Inflation".