Order in the particle zoo

The standard model of physics classifies particles into elementary leptons and hadrons composed of quarks. In this article the existence of an alternate ordering principle will be demonstrated giving particle energies to be quantized as a function of the fine-structure constant, α. The quantization can be derived using an appropriate wave function that acts as a probability amplitude on the electric field.

The model may be used to calculate other particle properties, in particular particle interaction. Necessary input parameters for all relations can be reduced to elementary charge and electric constant. The value of α itself can be approximated numerically by the gamma functions of the integrals involved.