Thanks for your interest, Ulla.
A few clarifications. I’m not suggesting that there is communication or causal influence “between worlds.” The semantic coherence I’m talking about isn’t a physical phase linking branches; it’s a selection effect on observer-moments. All branches of the wavefunction exist in the Everettian sense, but not all continuations of “me” are equally coherent with the narrative of memory, expectation, and perception that defines my point of view. My claim is simply that my experienced continuity flows along those branches that maintain the highest semantic consistency.
Now, about the Born rule and “infinite mathematics.” I’m not suggesting a mysterious mechanism — only something that quietly falls out of known results. If you have an infinite set of possible observer-moments, each consistent with quantum amplitudes, then the question becomes: how do you assign weights to them? And this is precisely where Gleason’s theorem fits in. Gleason shows (in essence) that if you try to assign probabilities to outcomes in a Hilbert space in a consistent way, you are forced into the Born rule. There’s no wiggle room.
In other words:
Start with infinitely many possible continuations.
Ask for a consistent way to weight them.
Gleason’s theorem says the only self-consistent assignment is amplitude-squared.
So the Born rule isn’t an extra assumption but it emerges as the only possible probability measure that makes the whole structure coherent.
That ties directly back to semantic coherence: among the infinite set of copies of “me,” the ones with greater Born-rule weight are simply the ones that dominate because they occur with vastly greater measure in the ensemble. There’s no “choice” or “jump,” just the mathematics of measure over infinitely many instantiations.
Finally, on consciousness: I’m not claiming that consciousness is “the same” in every branch. Each copy begins the same but diverges as soon as the informational context diverges. They are not ghosts; they are independent continuations of the same starting state. You only ever experience one thread because semantic coherence filters out the astronomically many incoherent branches.
Hope that de-fluffifies things a bit.
