Quantum Information and Gravity in de Sitter Space: From Relative Entropy to Einstein-Lovelock Dynamics

This monograph develops a self-consistent framework for quantum gravity in de Sitter space based on the principles of quantum information theory. We derive the linearized Einstein-Lovelock equations as a unique integrability condition for the monotonicity of relative entropy in causal diamonds. The work provides a complete derivation of the BKM informational metric, proves the informational invisibility of topological Euler classes, and explores the algebraic structure of observer algebras as Type II_1 factors. A bridge is established between the thermodynamic properties of horizons and the noncommutative geometry of spectral triples."