Among the more perplexing phenomena that seem to require some sort of eurycosmic theory to adequately explain, are the various instances of apparent "reincarnation", "mediumistic channeling", and so forth.
The book Randi's Prize summarizes some of the evidence regarding possession and channeling in a compelling and readable way. Ian Stevenson's various books present the evidence for some sort of reincarnation-like phenomena in a thorough and detailed fashion.
Stephen Braude's excellent book Immortal Remains very carefully considers the question of whether these various phenomena are best explained in terms of some sort of "survival after death" of individual human minds, or else in terms of "super-psi" on the part of living humans in this world. For instance, a child who appears to be a reincarnation of someone who died previously, could actually be using psi powers to read the mind of the dead person (reaching back in time) and then embody what they read in that person's mind.
In the end Braude concludes that there is no way to thoroughly distinguish super-psi from survival, but that when one really looks at the data, one concludes that super-psi explanations get insanely complicated, whereas survival-based explanations are far more straightforward. Occam's Razor favors survival, in other words.
I agree with Braude's conclusion regarding the dichotomy of super-psi versus survival, but I think the dichotomy is a bit too narrowly posed.
Euryphysics gives a somewhat different perspective: all of our mind-patterns exist outside this spacetime continuum in the eurycosm. Saying that they "survive" the body's death is oddly imposing our time-axis on a domain where said time-axis is not critical and is just one pattern among many.
The mind-patterns comprising Ben Goertzel, existent in the eurycosm outside our spacetime continuum, may evolve along various other time axes, and may take part in various other complex dynamics. Other mind-patterns emerging within our spacetime continuum may then interact with these eurycosmic patterns and "bring them into the spacetime continuum" at places and times that seem bizarre from the view of our spacetime continuum, but make perfect sense in terms of the broader set of patterns comprising the eurycosm.
The logic of morphic resonance aka "peaked pattern notability distributions" or "tendency to take habits" is one framework for explaining why this sort of thing might happen.
We can say that some living person's spacetime-resident mind-patterns "morphically resonate" with a few of dead person's eurycosm-resident mind-patterns, and then the tendency to take habits (aka morphic resonance) means that MORE of this dead person's mind patterns tightly associate themselves with the living person's mind-patterns. This dynamic could then compound itself -- the more of the dead person's patterns are bound up with the living person's spacetime-resident patterns, the more the tendency to take habits causes more and more of the dead person's patterns to correlate themselves with the living person's spacetime-resident patterns. But of course this dynamic would be co-occurring with all sorts of other phenomena (including various psychodynamics in the living and dead person), causing an erratic and confusing phenomenon.
Of course, this very broad explanation does not explain any of the peculiar details of channeling, reincarnation, and so forth. It is very, very hand-wavy. It merely indicates a category of explanation that may be useful to consider.
Importantly, though, this is a category of explanation that is quite different from the more religious/superstitious categories of explanation frequently associated with this sort of phenomenon, and yet that does NOT attempt to wave away "survival" and replace it with super-psi.
One thing you have to wrap your brain around, to understand this stuff, is that eurycosmic "survival" is probably not a matter of the dead Ben Goertzel somehow "living on" in some alternate world similar to our spacetime continuum -- frolicking in fields up in the sky, or floating around with a bunch of angels among the clouds, etc. It's probably not a matter of another world parallel to ours but similar to ours, and flowing along a similar time axis. Most likely, it's rather a quite differently organized nexus of patterns, not structured around a linear time-axis like our world is, and interweaving human mind-patterns with a lot of other stuff.
When a living human's spacetime-resident mind-patterns resonate with a dead human's eurycosm-resident mind-patterns, what happens is complex and involves "on the fly" generation of a lot of new patterns. Just as human long-term memory is constructive (but maybe more so), the process of a living human mind in the spacetime continuum fishing a dead person's mind-patterns out of the eurycosm is quite constructive in nature -- the living person is building a self-organizing mind-system out of raw materials drawn from the eurycosm, together with raw materials from their own mind. The result may be quite complex and various in nature.
This sort of phenomenon may be even harder to quantitatively explain and analyze than more laboratory-friendly psi phenomena like telepathy or precogniion. But conceptually, it is quite plausible according to the eurycosmic perspective. And investigating such phenomena has potential to yield much more general insights into the nature of euryphysical dynamics (as well as to the nature of things in this little corner of the eurycosmos we call our spacetime continuum...).