The peace symbols is a representation of many positive ideas. When thinking of peace I thought of equality and the uniform lack of conflict. This made me think of Yin and Yang.
This symbol made me think of the version with koi fish as a representation of good vs bad... light vs dark... sun vs moon.. etc.
After this I just thought of Pepsi utilizing this contrast graphically.
I believe that all these symbols relate to the peace symbol because they all relate to the subsiding of negativity. They are all meant to express a lack of conflict through equality and balance.