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Spin and uncertainty in the interpretation of quantum mechanics

A rigorous derivation of the Schrodinger theory from the Pauli (or Dirac) theory implies that the Schrodinger equation describes an electron in an eigenstate of spin. Furthermore, the ground‐state kinetic energy is completely determined by the electron spin density. This can be explained by interpreting the spin as an orbital angular momentum, which is necessarily accompanied by a kinetic energy. Thus, the spin is a zero‐point angular momentum associated with the zero‐point energy of the electron. Since the dispersion in electron momentum is determined by the zero‐point energy, the Heisenberg uncertainty relations for an electron can be interpreted as a property of the electronspin motion. The kinetic interpretation of spin and the statistical interpretation of quantum mechanics can be jointly sustained by regarding the electron as a point particle. It follows that stationary electron states are sources of fluctuating electric fields. There is reason to believe that these fluctuating fields are responsibl...