Strain wave structure of electron and positron

Abstract

By treating physical space as an elastic continuum, we show that elementary particles and their fields can be represented by stress–strain wave packets in the elastic space continuum. Dynamic equilibrium equations of elasticity reduce to vector wave equations involving displacement vectors in this continuum. We derive the equivalence between displacement vector U and the magnetic vector potential A to show that electromagnetic fields are manifestations of stress–strain fields in this continuum. The structure of the electron is modeled on a spherically symmetrical strain wave solution of the vector wave equilibrium equation. The solution consists of a central standing strain wave core approximately 2 fm in radius, surrounded by a radially decaying field of phase waves propagating outward for the positron and inwards for the electron. Approximately 37.3% of the energy of the electron is contained in its wave field and the remaining in the central standing wave core. We also derive the Coulomb interaction between two electrons and verify Coulomb’s law of electrostatics. The intrinsic electrostatic field, intrinsic spin, and magnetic field effects of the electron are derived from its strain wave structure. We also verify the Biot–Savart law for motion-induced magnetic fields and indicate the origin of De Broglie matter waves.