I suggest a new approach about simultaneity and the unescapable observability of the structure of reality induced by time. It is based on "yes" and "no" only, a distinction that every living body can make and that is meaningful in every discipline. There is no need however to interpret this boolean distinction as was usual done in the past. The new aproach starts from a novel interpretation of boolean values, one could call these values: “yes” and “something else of what gets the value “yes””. This results in a study of “possibilities”, of relations that are interpreted as “if... then...” patterns, not of values.

Instead of rushing into print 45 year ago, I felt that the formalism would need thoroughly testing. The formalisme therefore is the result of 45 years of theoretical research and 35 years of validating actions in the industry and in the education of practical, creative and integrating engineers. As what can be expected from a mathematical approach it can model a lot of well-known insights but moreover gives a well-founded base for completely new and transdisciplinary research.

It is really impossible to explain in short the results of this very fundamental and huge endeavor. What I can do however is to make a connection between my research and four of the five areas identified by Europe as proposals within mathematics. These areas are:

"Topological data analysis and other mathematical methods potential for big data analysis." My claim is that the new formalism shows that any topology is based on an underlying lattice structure with its inherent metric. The formalism therefore provides an accurate and precise method for analyzing real big data with a limited amount of distinctions, however an amount that freely can be chosen.

"Quantum algorithms". My claim is that the formalism faithfully describes quantum phenomena in such a way that a path has been created to model them on existing computers, provided that one interprets the well-known bitstrings completely differently (or provided that one gives the known bitstrings another foundation). Rather than using existing computers, one can even use any material context, there is no need any more for "dedicated equipment". My research shows that we are surrounded by physical quantum computers, alas we do not see these because we lack an appropriate “science of structures” (a new mathematics). It is amazing that this never has been discovered.

"High-dimensional inference problems". My claim is that the formalism gives a totally different approach for the current focus on ontologies. My research shows that it is possible not to impose anymore a unique ontology, and relevant ontologies can emerge from communication (thus from “yes” and “no”).

"Secrecy and Privacy". My claim is that all of the research that I carried out can be applied in the domain of the encoding of information. There has already been shown in this area that the strongest codes are self-dual, the new formalism gives an exact explanation for this: self-duality can only be found at the deepest (or central) level of a lattice based on distinctions.

I know that the major challenge to appreciate this new approach is that (1) one needs to accept any disciplinary “a priori” but (2) one needs to explain (and model) how the basic lattice structure changes when one accepts this “a priori”. This guarantees moreover that the formalism is transdisciplinary.

It is fundamentally "game changing" because the formalism succeeds (for the first time in history) to model mathematically the concepts "something other than ..." without filling it in and the concept of "emergence" with its consequences to generate non-associative relations but also with its already proven potential for novel applications.