The Geometry of Quantum Mechanics
It is shown that the strange mathematics of quantum mechanics can be accounted for if it describes the interaction of three vector fields; nucleus, electron, and photon. A state vector is formed as the combination of two of the three vector fields. This yields an infi-nite number of possible solutions, the probability amplitudes. The remaining vector field, or operator, is then applied to the state vec-tor to obtain an infinite number of possible values for the physical variable, the eigenvalues. Combining the vector fields in a different order yields two distinct, but mathematically equivalent solutions, matrix mechanics and wave mechanics.
