Informational Inversion and Near-Horizon Geometry: Bridging Pole-Skipping with Informational Phase Space Cosmology

Recent work in holographic quantum gravity has demonstrated that specific struc-tures in boundary Green’s functions—particularly pole-skipping points—can uniquelydetermine near-horizon expansions of black hole geometries. In this paper, we extendand adapt this methodology within the framework of Informational Phase Space Cos-mology (IPSC), a theoretical approach in which spacetime geometry emerges from theinformational structure of quantum correlators. We show that fixed slices of the Fisherinformation metric or the expectation value tensor of Pauli correlators encode suffi-cient data to reconstruct local geometry via functional inversion. This correspondenceoffers a new path toward solving the Informational Einstein Equation from observed orsimulated boundary data, unifying insights from quantum chaos, holography, and infor-mation geometry. Our results bridge holographic pole-skipping analysis with IPSC’semergent spacetime formalism, offering an operational route for mapping quantumcorrelator structure to curvature and causal topology.