Journal article Open Access
Using a metric based on solutions for the scalar of a 5-dimensional Kaluza model in the field equations for curved space-time allows to derive a convergent series of particle energies, to be quantized as a function of the fine-structure constant, α, with limits given by the energy values of the electron and the Higgs vacuum expectation value. The value of α can be given numerically by the gamma functions of the integrals involved, extending the formalism to N-dimensions yields a single expression for the electroweak coupling constants. The series expansion of the energy equation provides quantitative terms for particle energy, Coulomb and gravitational interaction. Additional terms in the field equations may give a value for the cosmological constant in the correct order of magnitude.
The model can be expressed ab initio without use of free parameters.