A PROPOSAL FOR A QUADRATIC ELECTROMAGNETIC COUPLING BASED ON THE UNDERLYING PHILOSOPHY OF EINSTEIN-MAXWELL THEORY

A theory is proposed in which torsion is coupled to massive matter thr ough electromagnetism. Spin, characterized by a relativistic speed, is a source of binding energy. An equation of motion is derived independ ently of the field equations and predicts new interactions, which enab les one to determine an eventual relationship between torsion and spin . A dual Lagrangian based on a complex scalar field gives a Hamiltonia n in which terms such as Dirac's magnetic dipole and spin-orbit energi es are retrieved.