Canonical Informational Curvature and Scalar Coarse-Graining in Quantum Informational Geometrodynamics

This paper proposes a minimal operational reformulation of the scalar gravitational sector of Quantum Informational Geometrodynamics (QI-G). It defines a canonical angular informational curvature on a locally triangulated informational causal network and introduces a dual-volume-weighted scalar coarse-graining map. Local quantum states are used to reconstruct informational distances through the square root of the Jensen-Shannon divergence, from which admissible metric triangles, angular deficits, and effective dual nodal weights are built. A central point is that volume-weighted angular deficits do not by themselves define a scalar curvature density unless they are normalized by the associated dual volume. The resulting construction is presented as a conditional scalar-curvature estimator for future numerical and continuum studies, not as a derivation of the Einstein tensor or a proof of a Lorentzian continuum limit.