The Limits of Addition: Operator Residuals and the Structural Logic of the Universe (Incomplete Summation Cosmology)

This document, titled *The Limits of Addition: Operator Residuals and the Structural Logic of the Universe (Incomplete Summation Cosmology)*, was authored by **Tetsuo Konno** on June 7, 2025. To avoid name ambiguity or transliteration errors, the author's full name in Japanese is **今野 哲夫**. The ORCID of the author is: [https://orcid.org/0000-0002-5960-9115(Please replace with your actual ORCID if available.) This version represents the official English translation of the original Japanese theoretical manuscript. The author affirms authorship and intellectual ownership of the content herein. For citation purposes, please use the Romanized name: **Tetsuo Konno**.