Modified Sch\"odinger dynamics with attractive densities

Understand

The linear Schr\"{o}dinger equation does not predict that macroscopic bodies should be located at one place only.

• Quantum mechanics textbooks generally solve the problem by introducing the projection postulate, which forces definite values to emerge during position measurements; many other interpretations have also been proposed.\ Here, in the same spirit as the GRW and CSL theories, we modify the Schr\"{o}dinger equation in a way that efficiently cancels macroscopic density fluctuations in space.\ Instead of introducing the stochastic dynamics of GRW or CSL, we assume a deterministic dynamics that includes an attraction term towards the density in space of the de Broglie-Bohm position of particles.
• This automatically ensures macroscopic uniqueness, so that the state vector can be considered as a direct representation of physical reality.