This work presents a systematic analysis of the heuristic power and empirical support of the Unified Wave Cosmological Model (UWCM). Based on a previously published series of preprints and an analysis of 23 observational phenomena, it is shown that UWCM offers a unified ontological explanation for a wide range of phenomena — from quantum paradoxes to the large-scale structure of the Universe. The model relies on two fundamental postulates (Plast and SGV) and one methodological principle (internal observer), without introducing ad hoc entities. Empirical support is classified into four levels of reliability (Direct, High, Medium, Indirect) and across eight levels of the hierarchy of reality — from the Planck scale to the Universe as a whole. Of the 23 considered phenomena, 3 have Direct support, 13 have High support, 3 have Medium support, and 4 have Indirect support. None of the considered phenomena contradict the model. Specific predictions for future observational missions are formulated, as well as clear falsification criteria, divided into those critical for the core of the model and those requiring refinement of details. It is separately noted that the key prediction of the model — the non-constancy of dark energy and the evolution of the parameter w(z) — has successfully passed verification by DESI DR2 and H0DN data published after the release of the main UWCM works. Special attention is paid to methodological issues: the asymmetry of the evidential power of simulations, as well as the fundamental position on the issue of mathematical formalization and unobservability of fundamental entities. The work demonstrates that UWCM has a unique explanatory breadth, covering all eight levels of the hierarchy of reality, and is a strictly falsifiable scientific theory that is at the stage of an active research program.
Gleb Slavutskiy (Mon,) studied this question.