UDCT v7.10 — Post-registration: Global Virial Sign Reversal and Local Jeans Obstructions in GQUMOND Function and Stellar-Profile Sensitivity Tests
- 1Independent Researcher, Auckland, New Zealand
Abstract
UDCT v7.10 Post-registration — This record presents the results of the sensitivity study preregistered in UDCT v7.10. Building on the v7.09 GQUMOND example-A implementation and its previously reported results, the study examines changes to the screening function and stellar density profile in Leo IV, Pegasus III, and Hydrus I. UDCT v7.10 preregistration:Zenodo DOI: https://doi.org/10.5281/zenodo.23200693GitHub: https://github.com/wspaik5/UDCT_v7.10_Preregistration_GQUMOND_Sensitivity The independently audited outcomes are G2/J1/K2. A global virial sign reversal occurs in Hydrus I for the f1/2 variant at a screening length of 10 pc, for both the Plummer and cusped profiles, and persists across all three numerical grids. The remaining 214 registered A/B cases and all 30 Newtonian controls retain positive global virial work. Local negative Jeans pressure persists for cusped profiles across all four tested function variants at selected screening lengths. Core softening removes this obstruction in some cases, but at 10 pc it remains present even at the largest tested core size, epsilon = 0.3. Inner-radius refinement confirms that selected negative minima occur inside the computational domain. The baseline reproduction gate passes. The report documents numerical convergence, registered outcomes, and separately labelled follow-up calculations. These results constrain the specified GQUMOND implementation under the adopted external-field, spherical, isotropic, and boundary assumptions; they do not establish a general exclusion of MOND or validate a new UDCT gravitational theory. This deposit includes the English results report, the executed Python runner, its frozen v7.06 dependency, pinned requirements, README, complete numerical results, an independent outcome audit, and a reproduction ZIP package. Post-registration GitHub repository:https://github.com/wspaik5/UDCT_v7.10_Postregistration_Results Author: Won Shik Paik, Independent Researcher, Auckland, New Zealand.Results report and execution date: 8 October 2026.
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BibTeX
@misc{paik2026udct,
title = {{UDCT v7.10 — Post-registration: Global Virial Sign Reversal and Local Jeans Obstructions in GQUMOND Function and Stellar-Profile Sensitivity Tests}},
author = {Won Shik Paik},
howpublished = {Zenodo (CERN European Organization for Nuclear Research)},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23233836},
url = {https://doi.org/10.5281/zenodo.23233836},
note = {CC BY},
}
RIS
TY - UNPB
TI - UDCT v7.10 — Post-registration: Global Virial Sign Reversal and Local Jeans Obstructions in GQUMOND Function and Stellar-Profile Sensitivity Tests
AU - Won Shik Paik
PY - 2026
DA - 2026/10/08
PB - Zenodo (CERN European Organization for Nuclear Research)
DO - 10.5281/zenodo.23233836
UR - https://doi.org/10.5281/zenodo.23233836
AB - UDCT v7.10 Post-registration — This record presents the results of the sensitivity study preregistered in UDCT v7.10. Building on the v7.09 GQUMOND example-A implementation and its previously reported results, the study examines changes to the screening function and stellar density profile in Leo IV, Pegasus III, and Hydrus I. UDCT v7.10 preregistration:Zenodo DOI: https://doi.org/10.5281/zenodo.23200693GitHub: https://github.com/wspaik5/UDCT_v7.10_Preregistration_GQUMOND_Sensitivity The independently audited outcomes are G2/J1/K2. A global virial sign reversal occurs in Hydrus I for the f1/2 variant at a screening length of 10 pc, for both the Plummer and cusped profiles, and persists across all three numerical grids. The remaining 214 registered A/B cases and all 30 Newtonian controls retain positive global virial work. Local negative Jeans pressure persists for cusped profiles across all four tested function variants at selected screening lengths. Core softening removes this obstruction in some cases, but at 10 pc it remains present even at the largest tested core size, epsilon = 0.3. Inner-radius refinement confirms that selected negative minima occur inside the computational domain. The baseline reproduction gate passes. The report documents numerical convergence, registered outcomes, and separately labelled follow-up calculations. These results constrain the specified GQUMOND implementation under the adopted external-field, spherical, isotropic, and boundary assumptions; they do not establish a general exclusion of MOND or validate a new UDCT gravitational theory. This deposit includes the English results report, the executed Python runner, its frozen v7.06 dependency, pinned requirements, README, complete numerical results, an independent outcome audit, and a reproduction ZIP package. Post-registration GitHub repository:https://github.com/wspaik5/UDCT_v7.10_Postregistration_Results Author: Won Shik Paik, Independent Researcher, Auckland, New Zealand.Results report and execution date: 8 October 2026.
ER -