[lmm]

> For MWI, the wavefunction is real and the grooves are real worlds that evolve in parallel, and the particles don't have any independent existence. In Bohmian mechanics, the particles are real and follow a law of motion described by the wave function, but the latter doesn't have any physical existence.

Obviously I'm coming at this from a partisan perspective, but that really does seem like more postulates - either you calculate your wavefunction evolution and predict your experimental results from that or you calculate that same wavefunction evolution, calculate your particle state ensemble from that, and then predict your experimental results from that.

> I don't think that's correct. To my knowledge, distributions conforming to the Born rule [1] are guaranteed in all but highly anomalous initial configurations, akin to how thermodynamics ensure that entropy always increases except again, in highly anomalous initial configurations.

I tried to skim through the 60 page paper but couldn't find the part you're claiming. Most modern presentations of Bohmian mechanics take the probability rule as a postulate. Bohm did initially present it with a statistical fluctuation and dynamical evolution argument, but most people find that unsatisfactory, and you can (and people do!) make the same argument in an Everett-style many worlds setting as well. (Admittedly people tend to find it even less convincing in a probability-branches setting than a particles-following-a-probability-distribution setting, but I suspect that's an artifact of similarity to classical thermodynamics rather than because it's objectively more plausible there).