This document is the overview of a five-paper research programme in foundations of physics — together with a conceptual foundation — built on a single principle: that the world is a system of models which validate one another through finite, mutual acts. It is a status map: for each result it states whether it is recovered from established physics, confirmed within the model, a candidate reading, or an open debt. Beyond the map, it reports the programme's first contact with observational data. A testable prediction is drawn from the model — a quadratic (n=2) Lorentz-invariance violation of the vacuum, with no linear term — and confronted with real astrophysical data (the gamma-ray burst GRB 221009A and LHAASO limits). The result is a bound on a programme parameter (node spacing a ≤ 7.6×10⁻²⁸ m) and a cross-consistency with dark energy on one parameter — a bound and a cross-consistency, not a confirmation, and labelled as such. The programme is constrained by observation, not contradicted by it, with a named path to a decisive test. This is explicitly not a theory of everything and not a replacement for the Standard Model.
Ivan Denysov (Fri,) studied this question.