andrewkirk said:The term 'support counterfactual definiteness (CFD)' is a bit vague. Let's interpret it as meaning that, in that theory, no contradictions with experimental results are derived by assuming CFD.
Bohm's Pilot Wave theory can allow CFD without contradicting the experimental observations from Aspect et al, because it does not assume Locality. Bell's paper assumes CFD and Locality and derived inequalities that appear to have been violated by the Aspect et al experiments. So either CFD or Locality has to be discarded.
Bohm's theory discards Locality - by allowing the hidden variables to be global, rather than local to the particles in question (the information is contained in the pilot wave) - so it can keep CFD.
Counterfactual definiteness is a concept in quantum mechanics that refers to the idea that a particle possesses definite properties, even if those properties are not being measured or observed. This means that, according to this concept, a particle has a specific position and momentum at all times, even if they are not known.
Bohmian mechanics is a theory within quantum mechanics that proposes a deterministic interpretation of quantum phenomena. It suggests that particles have definite positions and velocities, and that their behavior is guided by a pilot wave, in contrast to the probabilistic nature of other interpretations of quantum mechanics.
Bohmian mechanics differs from other interpretations of quantum mechanics in that it is deterministic, meaning that it proposes a definite trajectory for particles. It also introduces the concept of a pilot wave, which guides the behavior of particles, in contrast to the probabilistic nature of other interpretations.
Some variants of Bohmian mechanics include the de Broglie-Bohm theory, which was the original formulation by Louis de Broglie and David Bohm, as well as the pilot wave theory, which was further developed by John Bell. Other variants include the stochastic formulation by Edward Nelson and the modified dynamics by Sheldon Goldstein and others.
Exploring counterfactual definiteness in Bohmian mechanics can provide a deeper understanding of the theory and its variants, as well as shed light on the fundamental nature of quantum phenomena. It also has implications for the philosophical debate between determinism and indeterminism, as well as the role of consciousness in quantum mechanics.