I read Goertzel's recent paper on "Morphic Pilot Theory", which sketches a possible framework for PSI phenomena of the inexplicable synchronicity type.
As far as I could understand, the idea is that the seemingly causally unconnected phenomena are mutually affected by nonlocality from the Bohmian interpretation of quantum physics. The anomalous cognition part comes in as some kind of conservation of algorithmic information, where the Bohmian configuration state tends towards having a low Kolmogorov complexity, this shows up as the same pattern acausally showing up in several places at once. I guess human and animal brains are then assumed to have been evolved to make what use they can of this phenomenon.
I can't really evaluate the paper. I've never looked into Bohmian QM in any detail and would have to work up my physics to get there. I do get that the paper is very speculative, but it is interesting in positing zero ontologically basic woo to work. On the other hand, PSI with quantum physics is a well-deserved crackpot indicator, and I'd really need to know more about the generally physicist-approved version to tell if this stuff is off the deep end or not.
I know a little about quantum physics. Under any interpretation of quantum theory equivalent to the standard ones, this won't work without woo.
Ben Goertzel has a rather long psi-related article in Humanity Plus Magazine, apparently prompted by the recent precognition study to be published in Journal of Personality and Social Psychology. He's arguing that psi is real and we should expect to see the results of this study replicated.