【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 (logₚhi 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 (aₙ = ⁿ) and the Kepler-compatible orbital period (Tₙ = ^3n/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 (R² = 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.
Ken et al. (Thu,) studied this question.