A Proposal for Emergent Spacetime from Quantum Information Geometry - A Synthesis of Holographic Fisher Geometry, Loop Quantum Gravity, and Emergent Spacetime

Abstract I present a artifial intelligence co-developed unified framework for quantum gravityin which spacetime geometry emerges from quantum information geometry. The fun-damental postulate is that the spacetime metric tensor equals the Quantum FisherInformation Metric of an underlying entanglement network, with the Loop QuantumGravity Immirzi parameter as the coupling constant. From this principle, I derivethe Schwarzschild and Kerr metrics, demonstrating that classical general relativityemerges from quantum information theory. The framework predicts a dark matter tobaryonic matter ratio of π/(2γ0 ) ≈ 5.73, consistent with Planck 2018 observations(5.4 ± 0.3) within 6%. Numerical verification confirms mathematical consistency,conservation law preservation, and correct classical limits. While quantum correc-tions to astrophysical black holes are unmeasurably small (∼ 10−70 ), the frameworkprovides conceptual unification of string theory, loop quantum gravity, and holo-graphic principles, with dark matter emerging as an entropic effect rather than aparticle species. Keywords: quantum gravity, Fisher information, loop quantum gravity, emergentspacetime, dark matter, holographic principle, black holes, Immirzi parameter