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A Lagrangian formulation is constructed for particle interpretations ofquantum mechanics, a well-known example of such an interpretation being theBohm model. The advantages of such a description are that the equations forparticle motion, field evolution and conservation laws can all be deduced froma single Lagrangian density expression. The formalism presented is Lorentzinvariant. This paper follows on from a previous one which was limited to thesingle-particle case. The present paper treats the more general case of manyparticles in an entangled state. It is found that describing more than oneparticle while maintaining a relativistic description requires thespecification of final boundary conditions as well as the usual initial ones,with the experimenter's controllable choice of the final conditions therebyexerting a backwards-in-time influence. This retrocausality then allows animportant theoretical step forward to be made, namely that it becomes possibleto dispense with the usual, many-dimensional description in configuration spaceand instead revert to a description in spacetime using separate,single-particle wavefunctions.

Lagrangian Description for Particle Interpretations of Quantum Mechanics -- Entangled Many-Particle Case