quantum systems are complex objects. they cannot be the most elemental things in the universe. qubits are in a superposition of states. I can imagine how history lines branch and merge to accommodate for that in WP. I cannot imagine how encoding a single qubit can be a minimal unit in the informational network. does this assume some deity that created the "elementary 2-dimensional frames"? in what space do they have dimensions? I read some popular books on strings and membranes, and never understood what they were made of. is your theory a variation on the topic? a 2-dimensional something cannot be a starting point imho.
Discussion
In my theory a quantum system is just a representation of a frame of reference, they just encode information, they are not really fundamental, their relation with other frames/systems is. My theory interprets strings as informational holonomies, closed paths connecting elementary frames, but they start discrete and consistent by construction, while in regular string theory they start continuous and have to be "quantized", which requires all those weird dimensions to achieve analytical consistency.
ok, so yours is not a fundamental theory explaining the world, just a mathematical mapping from some pre-existing informational objects to others. why can't you imagine that your elemental 2-dimentional frames are stable patterns in the Wolfram's hypergraph?
Because all of physics just emerges from this mathematical mapping, the whole standard model and general relativity. You don't need anything else, just that 2-category defining what information means. The stable patterns emerge in the internal sector of the informational network, you don't need to define them, they are not fundamental.