This volume extends R-layer Mode Theory (RLMT) into four unified directions: bulk reconstruction in the effective (4+1)-dimensional geometry, nonlocal dispersion relations of tensor modes, an information-theoretic landscape of cosmological initial conditions, and data-driven constraints with an information-geometric interpretation of parameter space. We formulate bulk reconstruction using entanglement wedges and generalized entropy, deriving bulk equations sourced by an information stress tensor. We analyze how layer integration induces effective mass, dissipation, and scale-dependent propagation for tensor modes, producing distinct observational regimes across PTA, space-based interferometers, and ground-based detectors. We construct an information-theoretic action for initial conditions, identify stationary points as preferred cosmological states, and derive an information metric governing stability. Finally, we apply the framework to inflationary and dark-energy models, develop likelihood and Fisher-information structures, and show how RLMT naturally induces an information geometry on parameter space. These developments demonstrate that RLMT provides a coherent information-theoretic bridge between bulk geometry, tensor phenomenology, initial conditions, and observational inference.
Tsuyoshi Tohi (Fri,) studied this question.