Holography of Information: Hilbert Space & Quantum Gravity

This lecture explores the concept of the Hilbert space and holography of information in de Sitter quantum gravity. It covers topics such as the solution of the Wheeler-DeWitt equation, cosmological correlators, and the relation to Higuchi states. The instructor discusses the large volume limit, the Hamiltonian and momentum constraints, and the explicit form of the constraints. The lecture delves into the explicit solution for different dimensions, the solution algorithm, and the Wheeler-DeWitt equation. It also examines the main results, the inner product of states, and the covariance of cosmological correlators under certain symmetries, leading to the principle of holography of information.