I rely on mathematical intuition.
Some people prefer to think in formal way, while some others have nonformal feeling of the subject. It's important to understand, both approaches aren't competitive, but mutually inclusive. The AWT makes the understanding of the duality of intuitive (parellelistic) and logical (consecutive) thinking simple by using of the foam model.
Such foam is formed by density fluctuations of another particles, i.e. by the field of parallel interactions. The fluctuations are observable, so they can be described in terms of causal math. Note that the energy/information spreading occurs along surfaces of density fluctuations in transversal waves - it means, it's consecutive by the same way, like the logical thinking and derivation of math formulas. The foam membranes are direct analogy of strings and branes of M-theory.
Consecutive approach works well, until the foam will not become too dense, so that many concurrence approaches exist here, which makes the concurrent math models poorly conditioned. For example, the string theory has fragmented into many branches and it suffers by lack of testable predictions, following from landscape of 10E+500 possible solutions of the vacuum.
At this moment, the intuitive, nonformal approach in thinking becomes more successful, because it enables us to reveal a fundamentally new connections, which are enabling to decrease the number of possible solutions. We shouldn't forget, the math models is deterministic "WYPIWYG" approach ("
what you put in is what you get") by its true nature - so we cannot reveal more fundamental insights, then those, which were used for its derivation.
The alternation of formal and nonformal approach in evolution of human understanding corresponds the evolution of nested Aether foam with space/time scale, where the causal (foamy) phase alternates the less causal (particle based) phase, similar to gas.
