From Discrete Information to Closed 4D Tidal Gravity: Exact 1/9 Tidal Structure and Variational Selection

This deposit contains the manuscript From Discrete Information to Closed 4D Tidal Gravity: Exact 1/9 Structure and Variational Selection. The paper develops a closed one-parameter four-dimensional effective tidal sector derived from a discrete informational structure, together with a variational principle that selects a preferred branch within that sector. Its main result is that the relative tidal structure is fixed before the variational step, while the remaining structural scale is selected by a reduced landscape built from horizon gain, tidal overload relative to Schwarzschild, and an interfacial geometric penalty. The manuscript is written to distinguish clearly between what is derived from the microscopic construction, what is adopted as effective closure, and what remains open. It also presents an effective braneworld interpretation consistent with the Randall-Sundrum and Shiromizu-Maeda-Sasaki framework at the level of an on-brane ansatz, without claiming a full or unique five-dimensional bulk completion. This record includes the manuscript PDF and may also include source files, a companion derivation note, and a supplementary notebook for reproducibility.