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It is proposed to make formulation of second quantizing a bosonic theory bygeneralizing the method of filling the Dirac negative energy sea for fermions.We interpret that the correct vacuum for the bosonic theory is obtained byadding minus one boson to each single particle negative energy states while thepositive energy states are empty. The boson states are divided into two sectors; the usual positive sector with positive and zero numbers of bosons and thenegative sector with negative numbers of bosons. Once it comes into thenegative sector it cannot return to the usual positive sector by ordinaryinteraction due to a barrier. It is suggested to use as a playground model inwhich the filling of empty fermion Dirac sea and the removal of boson from thenegative energy states are not yet performed. We put forward such a naivevacuum world in the present paper. The successive paper will concern a CPT-likeTheorem in the naive vacuum world.Comment: 24 pages, 2 figures, Latex; added refereces, corrected typo

Dirac Sea for Bosons. I: -- Formulation of Negative Energy Sea for Bosons --