Relationship between the wave function and space
  We criticize the current standard interpretation of quantum mechanics, review its paradoxes with attention to non-locality, and conclude that a reconsideration of it must be made. We underline the incompatibility of the conceptions ascribed to space of field, and stage in modern theories, with differing roles for coordinates. We hence trace the non-locality difficulty to the identification of the basis space of the wave function and physical space. An interpretation of the wave function in which space loses its stage use at the local level, and its physical (field) meaning is assigned to the wave function, can solve this difficulty. An application of this proposal implies a field-equation extension based on a unified description of bosons and fermions able to provide new information on the standard model. 
J. Besprosvany