Dataset for "A Hydrogen–Rydberg Density Ladder in Compact Objects"

This dataset provides the reproducibility package for the preprint “A Hydrogen–Rydberg Density Ladder in Compact Objects”. It contains the derived tables, null distributions, bootstrap draws, configuration files, manuscript figures, validation reports, SHA-256 file hashes, and machine-readable manifest needed to reproduce the compact-object density audit reported in the paper. The package is versioned as Rydberg_density_ladder_compact_objects_Paper1_dataset_v1_0_20260708T114920Z. The audit uses a frozen hydrogen-derived logarithmic density coordinate defined by uH = 4.672363908777 × 10^12 J m−3 and CRy = 9.669187, then tests compact-object density observables against declared target coordinates. The deposited outputs include the 87,025-row white-dwarf population table, the CS EOS/TOV density rows, the bare Schwarzschild diagnostic rows, the PP EOS/TOV negative-control rows, the primary four-observable manifest, sham-stride and phase-shift null distributions, bootstrap score distribution, endpoint-loader controls, CS posterior-wide summaries, secondary response-morphology outputs, final manuscript figures, and validation reports. The validation files confirm that the deposited data reproduce the manuscript’s final numerical values, including the three-observable primary RMSE = 0.003910636, the extended four-observable RMSE = 0.003684608, mean |Δn| = 0.003245270, max |Δn| = 0.005539, psham,RMSE = 0.000531999, pphase = 0.000951999, RMSEboot,median = 0.003681569, Cbest = 9.669718381, and the no-Schwarzschild ablation RMSE = 0.003910636. The associated paper presents a restricted empirical finding: a frozen hydrogen–Rydberg density coordinate organizes the declared white-dwarf and neutron-star density observables better than the tested sham-stride, phase-shift, bootstrap, loader, ablation, posterior-wide, response-morphology, and EOS-family alternatives. The dataset is intended to support independent verification of those reported values and controls; it does not by itself assert a dense-matter EOS, prove a compact-remnant mass gap, or imply that all compact objects occupy exact density coordinates.