This document is pure speculation. It is my own personal ramblings and should be taken with a very large pinch of salt.
The Ticker Tape Interpretation strongly suggests that space-time is not an essential to the formulation of Quartum Mechanics. It is quite possible that space-time is constructed from more fundamental primitives. The most obvious candidate for space-time building blocks is spin 1/2 particles + photons. This approach has already been explored, rather unsuccessfully, by Roger Penrose and others. The probability of success is therefore relatively small, however we persevere since hopefully the experince will be educational and the list of alternative candidates is small (The author is not a great believer in String theory)
We assume that:
Suppose we have system A is known to be in a state Lx=1, and system B is known to be in state L'x=1. What is the combined angular momentum of the system? (Does it even make sense to talk about that?)
In the Ticker Tape world, there are only measuring devices so the only way to tell