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I have no deep knowledge of this matter but could it be that a wave function exists in many dimensions in Hilbert Space (which i understand has infinite dimensions) all at the same time and that we observe it in "our" 3 space and 1 time dimension
When it changes (collapses) or divides into many other worlds it in fact simply manifests itself in a different dimensional profile in Hilbert space ie not in our 3 space + 1 time dimension so we cannot observe it
example say a wave function has arbitrarily 10 dimensions in Hilbert space and we observe only 4 of them 3 space+ 1 time and the other 6 are zero to us
After change it could be zero in "our" 3 space and embedded in dimension 5 6 7 + 1 of time so it it beyond our observation
I hope this is not rubbish but I have a horrible feeling it is
Michael Shields