| _version_ | 1866901226556227584 |
|---|---|
| author | Li, Y.Y.N |
| author_facet | Li, Y.Y.N |
| contents | <p>This paper introduces a formal theory of residual structure in<br>modal collapse systems, focusing on one conjecture and two theorems:<br>residual boundedness (conjecture), entropy attractor behavior (theo-<br>rem), and spectral mode convergence (theorem). The modal collapse<br>function ϕ(x) generates structural approximations, while the resid-<br>ual field δ(x) quantifies deviations between empirical and predicted<br>density. This work advances the Unified Resonant Structure Formula<br>(URSF), linking residual feedback in cognitive geometry with formal<br>structural dynamics in modal systems, making residual intelligence<br>mathematically operational.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_15858550 |
| institution | Zenodo |
| language | |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Residual Structure Theory in Modal Collapse Systems Li, Y.Y.N <p>This paper introduces a formal theory of residual structure in<br>modal collapse systems, focusing on one conjecture and two theorems:<br>residual boundedness (conjecture), entropy attractor behavior (theo-<br>rem), and spectral mode convergence (theorem). The modal collapse<br>function ϕ(x) generates structural approximations, while the resid-<br>ual field δ(x) quantifies deviations between empirical and predicted<br>density. This work advances the Unified Resonant Structure Formula<br>(URSF), linking residual feedback in cognitive geometry with formal<br>structural dynamics in modal systems, making residual intelligence<br>mathematically operational.</p> |
| title | Residual Structure Theory in Modal Collapse Systems |
| url | https://doi.org/10.5281/zenodo.15858550 |