Strain Wave Structure of Electron

By treating physical space as an elastic continuum, we show that all elementary particles and their fields can be represented by stress-strain wave packets and fields in the elastic space continuum. Standard dynamic equilibrium equations of elasticity reduce to vector wave equations involving displacement vectors in this continuum. In the process we have shown the equivalence between displacement vector U and the magnetic vector potential A and also shown that electromagnetic fields are manifestations of the stress-strain fields in the elastic space continuum. Structure of the electron is modeled on a spherically symmetric strain wave solution of the vector wave equilibrium equation. The solution consists of a central standing strain wave core of about 2 fm radius, surrounded by a radially decaying field of phase waves propagating outward for the positron and inwards for the electron. About 37.3% energy of the electron is contained in its wave field and rest in the central standing wave core. We have also derived Coulomb interaction between two electrons and verified the Coulomb’s law of electrostatics. The intrinsic electrostatic field, intrinsic spin and magnetic field effects of the electron have been derived from its strain wave structure. We have also verified Biot–Savart law for motion induced magnetic field.