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For non-physicists trying to understand what this is paper is about, here's a short article that takes a shot at vulgarizing it: http://phys.org/news/2015-02-big-quantum-equation-universe.h...
From the first paragraph they're claiming to have unified (to some extent) quantum physics and general relativity while simultaneously solving the dark matter and dark energy problems. That would be a very big deal.

Add in the use of Bohmian mechanics and you get something that's really interesting, but a bit 'out there'. If this ends up giving Bohmian mechanics some testable predictions that differ from mainstream quantum mechanics that would be very, very interesting. But I'm not holding my breath. There are just so many really big ideas at the cutting edge of physics that don't pan out in the long run.

Even as a physicist who studied Bohm's work long ago the paper is very unclear.

It's quite possible they've done something remarkable, but the argument is sketched out in extremely high level terms (which is entirely appropriate for Physics Letters B).

One big question that pops to mind is: since Bohmian trajectories live in R^3N where N is the number of particles, how does one go about "replacing geodesics" with them? They would seem to be animals of a completely different kind, and the transformed theory would therefore involve much more than simple "replacement".