The formulation of quantum theory does not comply with the notion of objective existence of elementary particles. Objective existence independent of observation implies the distinguishability of elementary particles. In other words: If elementary particles have an objective existence independent of observations, then they are distinguishable. Or if elementary particles are indistinguishable then matter cannot have existence independent of our observation. This paper presents a simple deduction of the above statements, their compatibility with quantum theory, an example of quantum uniqueness situation and a suggested experiment. The conclusion is a short discussion about the redundancy of such phenomena.