This introduces a new paradigm. Read T.Kuhn. You cannot compare different paradigms.
Everything that matters is in the post. Read it; really.
What is needed next is engineering, ingenuity and suitable ICs, not maths. The IT revolution came from IT (coders) and ICs, not CS.
As for your recommendation, I have tried so many things over the past four years… I posted here first to get to the source of one of the evidences; to no avail.
Good bye everyone
I am available through private messages
I am going to answer this comment because it is the first to address the analysis section. Thank you.
I close the paragraph saying that there is no functions anywhere and it will aggrieve some. The shift I am trying to suggest is for those who want to analyse the system using mathematics, and could be dismayed by the absence of functions to work with.
Distributions can be a place to start. The quantilisers are a place to restart mathematical analysis. I gave some links to an existing field of mathematical research that is working along those lines.
Check this out: they are looking for a multi-dimensional extension to the concept. Here it is, I suggest.