This repository contains the manuscript, figures, and supporting materials for the paper: “Reduced Observability Hierarchies and Critical-Surface Geometry in Reheating Reconstruction” The paper develops a reduced geometric framework for formulation-dependent reconstruction in reheating cosmology. Building on earlier switching-cartography results, it introduces a reduced observability hierarchy governed by reduced Jacobians, minimum singular values, and critical proxy thresholds. The analysis organizes parameter space into sectors of Metric dominance, Palatini dominance, fragile switching layers, and near-inaccessible regions. The manuscript also distinguishes genuine collapse from apparent flattening by separating comparative dominance from absolute observability. Numerical figures include: (i) the singular-value contrast map defining the primary switching frontier, (ii) the sensitivity-hierarchy map showing local lever competition, (iii) absolute observability maps for the two competing reconstruction channels, and (iv) a comparison between the proxy first-passage cartography of the earlier framework and the full Jacobian sign structure obtained here. Contents: - Main manuscript source- PDF manuscript- Figure files- Supporting numerical outputs used to generate the figures This upload is intended as a research preprint and archival record of the current version of the work. V2: clarified the two-layer reduced-Jacobian structure (full geometry vs. fixed-cPcPcP slice cartography), introduced the reduced observability hierarchy as a critical-surface framework for reheating reconstruction, and added quantitative robustness checks for switching-frontier stability, proxy-threshold continuity, tolerance sensitivity, and weak-sector interpretation. Figure 4 was expanded to connect proxy-level switching cartography with full reduced-Jacobian geometry.
Hiroyuki Shioiri (Sun,) studied this question.