The question of convergence then simply boils down to: Are there any possible states of the universe that can arise from more than one prior state. Based on my limited quantum mechanics knowledge, it seems the only place this might be able to happen is in black holes: https://en.wikipedia.org/wiki/Black_hole_information_paradox
If there were two opposing forces, always exponentially self improving towards maximum efficiency in two opposite sides: 1) ordered/creative/perfectionist/preservative/etc, 2) chaotic/destructive/disruptive/etc... suppose our universe sits roughly in the middle of these two, does that not seem to explain where we are?
Also, given the seemingly limitless propensity of the universe towards balance, and its apparently limitless capacity in both regards, it would seem natural to infer that both forces keep going in ways beyond that which we can directly observe.
Intuitively, certainly, it seems very right. Of course, it also gels very well with countless esoteric/mystical beliefs going back eons as well.
More important is the issue of just what the multiverse theory exists to accommodate. Timeline splitting would be the result of nature not actually “choosing” one part of a superposition of probabilities over another; they both exist in probability space or something like that. Human events like choices are incredibly macroscopic compared to the events leading to a multiverse. Ten years of activity should, in theory, lead to uncountable branches.
Other than the laws of physics remaining constant, nothing else does in theory, and so were talking about massive and continuous divergence, and convergence. You’d have infinite universes, some existing along similar lines, others radically different, but there would be no one tendency to converge or diverge; it would be chaos, expressed physically.
As the article mentions, initially our ancestry is basically linear -- one mother and father, two grandparents per parent, etc. But the further back we go, the more our lineage begins to resemble a mesh web with certain ancestors reappearing at other points.
Could the same happen with the flow of time? Say we were to go back 10 years, maybe there is only a single possible 'timeline' between now and then. But is it possible that the further we go back, there are multiple 'nodes' which cross over, much like ancestry?
Is it possible there were two, or more, say, 1900ADs, which then every e.g. 1915 was descended from, splitting again into different timelines before recombining, in much the same manner as biological descent?
Largely off topic, but an interesting thought experiment.