Articles 1–2 of a Unified Three-Article Research Program on the Thomistic Problem: Concerning the Strictly Mathematical Scientific Proof of the Hypothesis "God Exists"

This research program presents a structured scientific examination of the hypothesis "God exists" and develops a hierarchical framework intended to investigate whether this hypothesis may be established through a strict scientific methodology. Rather than relying on faith or denial, the work proposes a verification-based approach founded upon logical structure, mathematical development, and scientific examination. This preprint contains the first two articles of a unified three-article research program. The articles are not intended as independent papers but as structurally interdependent parts of a single scientific investigation. Article 1 establishes the conceptual and logical foundation, while Article 2 develops the formal definitions, structural principles, and mathematical framework required for the continuation of the program. The third article will present the rigorous mathematical proof of the central theorem formulated in Article 1 ("For every number n, the potency of n is the continuum."), thereby simultaneously providing a strict scientific proof of the hypothesis "God exists." The present preprint is published as an open scientific work intended for independent public and scholarly examination. As part of this work, a book was written that sets out the background to this research and a broader perspective for its further development. See the reference materials below. P.S. The story of these articles and the accompanying book may become one of the important turning points in human history, dividing it into a "before" and an "after," just as the chronology of human history came to be divided into the periods before and after the birth of Jesus Christ. Reference Materials Official website։ https://book2126.com Scientific article (DOI)։ https://doi.org/10.5281/zenodo.19391220 ORCID researcher profile։ https://orcid.org/0009-0002-7149-9577 https://orcid.org/0009-0006-6533-7167 Book page։ https://books2read.com/u/3y81Wp Amazon Kindle edition — “THE MAN WHO FOUND GOD”։ https://www.amazon.com/dp/B0H6Z6PFYT Substack article — “How Would Science Handle a Claim?”։ https://artushzurabyan.substack.com/p/how-would-science-handle-a-claim