Wave Particle Duality: De Broglie Waves in Indirect Quantum Measurements

The wave particle duality is one of the less intuitive properties of Quantum Mechanics. Under some particular experimental circumstances, when cor-puscular systems can follow two alternative paths which later on rejoin and superpose, some wave like interference happens. If one of the paths is blocked the wave like behaviour disappears. As the particle arrives to the fi-nal position we can infer it has followed the free path, and therefore it is al-ways spatially separated of the blocking system and there is not local inter-action between them. The simplest hypothesis is that a third element, a physical wave, allows an indirect interaction between particle and blocking system, a de Broglie wave. A simple mathematical model, extension of Gen-eral Relativity, shows how this indirect interaction can happen, mediated by gravity.