The elementary wave hypothesis: particles follow Schrödinger waves backwards

The authors of a neutron interferometer experiment published in Physical Review in 1992 said that neither they, nor quantum mechanics could not explain their data. It is unusual to find an experiment that QM cannot explain. If we follow that trail of evidence, where does it lead? It leads to the Elementary Wave hypothesis, according to which Schrödinger waves convey probability amplitudes that particles follow backwards. Should we put so much emphasis on one peculiar finding? This hypothesis explains the double slit experiment in a logical and coherent way; something that QM has been unable to do. It indicates that wave function collapse occurs when a particle is emitted, not when it is detected. That profoundly changes the measurement problem.