Question for the math fat cats....
My sources are telling me that Collatz is example of a cohomology style obstruction problem related to the relationship between addition and multiplication computed over local to global scales.
If this is true, my question is if anyone has done any research around lifting the Collatz universe to a domain where multiplication becomes addition, and addition stays as addition. I assume log is involved.
I can see how multiplication and addition might not exactly get along over unbounded stretches along the number line, but it seems like addition isn't going to obstruct addition. Maybe I'm wrong.
Anyone know of any papers specific to Collatz and this line of inquiry to review? I know how to lift the problem statement, but then it becomes a weird trig impossibility argument.