Yoshio Koide's formula [1] shows a common link between the three leptons: electron, muon and tauon. The accuracy of this formula was improved by a factor of 100 in 2016 [2] by expressing the masses of the particles in the unit "undressed whole electron". The unit "electron" is universal, as it is not based on the arbitrary units [kg, m, s] of the SI system. Without violating the cosmological principle, which states that all localities are equivalent, the results of the paper [2] are interpreted as the possibility of having a duality of locality. This paper suggests that there is an original non-locality caused by inflation. Thus the original electron-positron pairs are different from those extracted with fermion status, in all potential localities. If the locally extracted pairs annihilate immediately in gamma rays, the original pairs, causally separated, are able to condense into composite particles. It is shown that this paradigm immediately resolves: 1) the enigma of antimatter; 2) the enigma of the proton mass; 3) the enigma of the muon mass; 4) the proton spin crisis; 5) the enigma of the equality between the charge of the proton and that of the positron. The concept of antimatter is based only on local experimentation. There is no "elected" matter.