Using a Kaluza-type model, a combination of differential geometry with electromagnetic theory, including spin, provides a coherent, comprehensive and quantitative description of phenomena related to particles, including the values for electroweak coupling constants, a convergent series of quantized particle energies with limits given by the energy values of the electron and the Higgs vacuum expectation value, and the fractional electric charges as well as the magnetic moments of baryons. Electromagnetic and gravitational terms will be linked by a series expansion, the corresponding relation suggests the existence of a cosmological constant in the correct order of magnitude. The model can be expressed ab initio, necessary input parameters are the electromagnetic constants.