Subatomic Particle

Identical fundamental particles are perfectly indistinguishable - like class instances. The difference between fermions and bosons is whether they can occupy the same quantum state. The reason lies in the two ways of satisfying exchange symmetry in the wave function. Observation is the absolute value of the wave function itself. For exchange symmetry to be observed, there are two ways to satisfy the symmetric absolute value of the wave function. The value of the wave function represents spin. This means that indistinguishable particles with exchange symmetry can only be fermions or bosons. The error in Maxwell-Boltzmann statistics is the assumption that particles can be distinguished.