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. Keywords: emergent gravity, information geometry, Fisher information, effective metric hypothesis, Hessian geometry, Koma Theory 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: [email protected]: Creative Commons Attribution 4.0 International (CC BY 4.0)