Golden-Ratio Distance Ladder, Kepler-Compatible Period Scaling, and Obliquity Profiling of Planetary Bodies in the U131/H4 Framework

【v2】 This record contains Version 2 of the manuscript Golden-Ratio Distance Ladder, Kepler-Compatible Period Scaling, and Obliquity Family Profiling in the U131/H4 Framework.The paper studies whether a discrete geometric framework based on the H4 / 600-cell structure can organize several large-scale features of planetary systems within a single descriptive scheme. The core variables are the distance-shell indexn = round(log_phi a) and the phase label r = n mod 12, where phi is the golden ratio. Using this framework, the manuscript presents:(1) a phi-based distance ladder,(2) Kepler-compatible period scaling,(3) obliquity family profiling based on a geometric attractor model, and(4) pre-registered forward predictions for selected exoplanetary targets.Version 2 is intentionally restricted to the reproducible core claims. Exploratory extensions and broader speculative interpretations are kept outside the main claim boundary. In particular, this version claims a structured geometric hypothesis with quantitative agreement on distance and period scaling, a compact obliquity classification scheme, and falsifiable forward predictions. It does not claim a complete dynamical theory of planetary formation, a full first-principles derivation of all correction terms, or observational confirmation of the pre-registered predictions.This deposit is intended as a citable versioned record of the manuscript and its current numerical framework. 【v1】 This preprint presents an independent study within the U131/H4 geometric framework, treating planetary architecture as a unified three-part profiling problem: orbital distance, orbital period, and spin-axis obliquity family. We introduce a conceptual separation between a monotone golden-ratio distance ladder (n) and a periodic 12-sector phase clock (r = n {12}). Under this framework, a single integer n naturally profiles the orbital distance (a_n = φ^n) and the Kepler-compatible orbital period (T_n = φ3n/2), while the phase label r organizes the qualitative obliquity family (near-0°, near-23°, inversion, or orthogonal). Applied to the Solar System, the model demonstrates strong empirical compatibility with observed distances (MAE 9.46%) and Keplerian period scaling (R^2 = 0.9964). The principal scientific output of this paper is a strictly pre-registered set of forward predictions for unseen outer Solar System sectors (e.g., Planet Nine) and benchmark exoplanetary systems (including the complete TRAPPIST-1 system). By recording these predictions in advance of future measurements, this manuscript provides a highly falsifiable test for the hypothesis that planetary architectures contain a real, discrete high-dimensional geometric component.