Paper A — Koma Density Geometry

This paper formulates how geometric structure may emerge from the Koma density kernel through Fisher information structure. It presents a framework that provides a connection principle from information geometry derived from the density kernel to curvature structure, and organizes this structural field as the RSF framework. In addition, it places the condition for Koma Gravity on whether an effective spacetime metric can be constructed from the density field, and compares three candidate structures: the conformal type, gradient type, and Hessian type. This paper is confined to the C-layer (syntactic layer); physical interpretation and cosmological development are not addressed. Branch Migration Notice Paper A v3.00 is retained as a Historical Branch Point under the former Paper A-series Concept DOI 10.5281/zenodo.17605267.Beginning with Paper A v3.01, the density-geometry branch continues under an independent Publication Identity as Koma Density Geometry, with Concept DOI 10.5281/zenodo.22047145.The original Paper A v3.00 files remain unchanged as part of the historical record. For the corrected and scope-restricted formulation, see Paper A v3.01:Version DOI: 10.5281/zenodo.22047146Concept DOI: 10.5281/zenodo.22047145 Note on Mathematical Formalization This paper is presented as a structural hypothesis. Mathematical formalization and rigorous proof are intentionally left open, and external verification is welcomed. For correspondence: laboratory@dualbind.comLicense: Creative Commons Attribution 4.0 International (CC BY 4.0)