Dear Henry,
Thanks for dropping in to my essay forum!
1. I don't think that the "desire to see something 'mental'...emerge as the principal element in the structure of the Universe" "led to Relativity and QM." The "mental' is not really the "principal element' in their structure.
2. "You ask, "Which new non-spatial form(s) of 'data' presentation will reveal the recently invisible and allow us to understand adequately the formative processes in Nature?". We already have it, it is called "natural philosophy".
I'm afraid, you are confusing "natural philosophy" with science: they are complementary but not identical.
3. "Your ETS formalism may prove to be a useful tool of philosophy. It will still, like mathematics, require human philosophical intelligence to abstract from reality and produce the symbolic representation, and then again to apply the representation to any particular real situation."
I certainly hope that ETS "may prove to be a useful tool of philosophy", but philosophy is not its main orientation. Also, the whole idea of ETS is to try to move away from "requiring human philosophical intelligence to abstract from reality and produce the symbolic representation".
Best wishes, Lev