David Bohm's interpretation of quantum mechanics, known as the pilot wave theory or Bohmian mechanics, provides an alternative framework for understanding the behavior of particles in quantum mechanics. In Bohmian mechanics, particles are guided by a hidden pilot wave that determines their trajectories. The theory is deterministic, meaning that if the initial conditions of the system are known, the particle's path can be determined with certainty.
Bohmian mechanics can reproduce the statistical predictions of standard quantum mechanics, including the wave-particle duality observed in experiments. In this interpretation, particles have definite positions and trajectories, but their motion is influenced by the pilot wave, which can exhibit wave-like behavior. The wave-particle duality arises from the interaction between the particle and the underlying wave.
Regarding the Bell test experiments and seemingly instantaneous action at a distance, Bohmian mechanics does not require any communication or action at a distance faster than light. The pilot wave theory is a non-local theory in the sense that the pilot wave can influence the behavior of particles instantaneously, regardless of the distance between them. However, this non-locality does not violate the prohibition on faster-than-light communication or information transfer.
In the Bell test experiments, the observed correlations between entangled particles can be explained within Bohmian mechanics by the guidance of the hidden pilot wave. The particles' behavior is influenced by the pilot wave, which is non-local in the sense that it takes into account the overall configuration of the system. However, this non-local influence does not allow for actual information transfer or violate causality.
It's worth noting that Bohmian mechanics is just one of several interpretations of quantum mechanics, and it is not the mainstream or most widely accepted interpretation. The standard Copenhagen interpretation is still the most commonly used framework for understanding and making predictions in quantum mechanics.