Won Shik Paik

UDCT v7.12 Post-registration Results: Anisotropy and Screening-Length Boundaries of Signed Jeans Solutions in Hydrus I

This record reports the completed UDCT v7.12 preregistered numerical experiment on anisotropy and screening-length boundaries of signed radial Jeans solutions in Hydrus I. The frozen protocol compares five screened GQUMOND model variants and three QUMOND controls, using constant...

UDCT v7.12 Preregistration: Anisotropy and Screening-Length Boundaries of Signed Jeans Solutions in Hydrus I

This record preregisters the UDCT v7.12 numerical protocol for investigating anisotropy and screening-length boundaries of signed radial Jeans solutions in Hydrus I. Motivated by the previously reported v7.11 results, the study will examine constant velocity anisotropy β from 0 t...

UDCT v7.11 — Preregistration: Constant-Anisotropy Jeans and Outer-Boundary Sensitivity in Hydrus I

UDCT v7.11 Preregistration — This record specifies a prospective test of constant velocity anisotropy and outer-boundary sensitivity in the radial Jeans analysis of Hydrus I, using the frozen GQUMOND implementation from UDCT v7.10. Prepared after the v7.10 results were known, thi...

UDCT v7.10 — Post-registration: Global Virial Sign Reversal and Local Jeans Obstructions in GQUMOND Function and Stellar-Profile Sensitivity Tests

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 densi...

UDCT v7.09 Post Registration — Positive Global Virial Work with Local Jeans Obstructions: Results of the Registered GQUMOND Example-A Test in Three Ultra-Faint Dwarfs

UDCT v7.09 Post Registration — This record presents the post-registration results of the registered GQUMOND example-A test in Leo IV, Pegasus III, and Hydrus I, together with a complete Python reproducibility archive. The registered protocol evaluates 36 GQUMOND cases covering th...

UDCT v7.09 Post Registration — Positive Global Virial Work with Local Jeans Obstructions: Results of the Registered GQUMOND Example-A Test in Three Ultra-Faint Dwarfs

UDCT v7.09 Post Registration — This record presents the post-registration results of the registered GQUMOND example-A test in Leo IV, Pegasus III, and Hydrus I, together with a complete Python reproducibility archive. The registered protocol evaluates 36 GQUMOND cases covering th...

UDCT v7.07 — Post-v7.06: Structural Tests of Reciprocal Projection, Three-Dimensional Actions, and Solar-System Limits

This record archives UDCT v7.07, a manuscript dated 29 September 2026, together with a reconstructed Python reproducibility package prepared on 4 October 2026. The manuscript explores five structural-action approaches following the static sign problem reported for the specific UD...

UDCT v7.09 — Pre-registration: Applying the v7.06 Virial and Jeans Protocol to Milgrom's Published GQUMOND Length-Screening Example, with a QUMOND Control, in Three Ultra-Faint Dwarfs

This record contains the UDCT v7.09 pre-registration and companion Python implementation for testing Milgrom’s published GQUMOND length-screening example against a QUMOND control in three ultra-faint dwarf galaxies: Leo IV, Pegasus III, and Hydrus I. The protocol applies the v7.0...

UDCT v7.09 — Pre-registration: Applying the v7.06 Virial and Jeans Protocol to Milgrom's Published GQUMOND Length-Screening Example, with a QUMOND Control, in Three Ultra-Faint Dwarfs

This record contains the UDCT v7.09 pre-registration and companion Python implementation for testing Milgrom’s published GQUMOND length-screening example against a QUMOND control in three ultra-faint dwarf galaxies: Leo IV, Pegasus III, and Hydrus I. The protocol applies the v7.0...

UDCT v7.07 — Post-v7.06: Structural Tests of Reciprocal Projection, Three-Dimensional Actions, and Solar-System Limits

This record archives UDCT v7.07, a manuscript dated 29 September 2026, together with a reconstructed Python reproducibility package prepared on 4 October 2026. The manuscript explores five structural-action approaches following the static sign problem reported for the specific UD...

UDCT v5.62: Synthesis of Pre-registered Negative Results (v5.50–v5.61)

Catalog of pre-registered negative results, not a new option and not a new registration. No new law is proposed. Between v5.50 and v5.61 every MOND-type realization of UDCT bidirectional projection failed a registered gate: the static family on the joint RAR–Cassini constraint (S...

UDCT v5.62: Synthesis of Pre-registered Negative Results (v5.50–v5.61)

Catalog of pre-registered negative results, not a new option and not a new registration. No new law is proposed. Between v5.50 and v5.61 every MOND-type realization of UDCT bidirectional projection failed a registered gate: the static family on the joint RAR–Cassini constraint (S...

UDCT v5.60: Pre-registration of Option O8d (Tail Cut-off plus Compactness Screening)

Pre-registration of option O8d, not a result. No O8d prediction has been computed at deposit. O8d is motivated by the failure of O8c (v5.59) and is registered as a new option. Law: ν_eff = 1 + S(X)[ν_c(x) − 1], with ν_c(x) = 1 + (ν₀(x) − 1)/(1 + (x/Y_c)²), ν₀ = (1+1/x)^{1/2}, Y_c...

UDCT v5.61: O8d Gates D2 D5 D8b — Action and Solar System Pass, Killed by Ultra-Faint Dwarfs

Registered result for option O8d after the v5.60 deposit (doi:10.5281/zenodo.22994692). Not a new registration. D2 passed: the v5.59 action remains closed with the tail cut-off. D5 passed: Cassini quadrupole Q₂ = −9.3×10⁻²⁹ s⁻²; Saturn |δa| = 4.8×10⁻¹⁷ m s⁻². The tail cut-off rem...

UDCT v5.59: O8c Gates D2 and D5 — Action Exists, Killed by Saturn Anomaly

Registered result for option O8c after the v5.58 deposit (doi:10.5281/zenodo.22987510). Not a new registration. D2 passed: a closed non-relativistic QUMOND-type action exists. Extra tidal-derivative terms are negligible on SPARC and 1.02% in the solar region, so D5 used the full...

UDCT v5.60: Pre-registration of Option O8d (Tail Cut-off plus Compactness Screening)

Pre-registration of option O8d, not a result. No O8d prediction has been computed at deposit. O8d is motivated by the failure of O8c (v5.59) and is registered as a new option. Law: ν_eff = 1 + S(X)[ν_c(x) − 1], with ν_c(x) = 1 + (ν₀(x) − 1)/(1 + (x/Y_c)²), ν₀ = (1+1/x)^{1/2}, Y_c...

UDCT v5.57: O8 Compactness Screening Design Note (Not a Registration)

Design note, not a registration and not a result. No O8 gate has been passed.The original O8 statement (internal versus external baryons) fails D2: assigning each baryon to a “system” is not local and cannot be written as an action density.A local candidate is the dimensionless c...

UDCT v5.54: Pre-registration of Option O7 (Trajectory Projection, Modified-Inertia Class)

Pre-registration of option O7, not a result. At deposit no planetary anomaly, no lensing prediction and no SPARC fit with the O7 law have been computed. O7 is a modified-inertia projection: the gravitational field stays Newtonian and the response lives on each trajectory. Frozen...

UDCT v5.55–v5.56: Registered O7 Gates D5 and D4 (O7 Killed at D4)

Registered gate results for option O7 under the v5.54 protocol. Not a journal article.v5.55 is gate D5 (solar system): Saturn |δa| = 2.2×10⁻²² m s⁻², well below the registered 10⁻¹⁴ bound; INPOP10a perihelia also pass. Timing disclosure: D5 was computed before the public deposit...

UDCT v5.58: Pre-registration of Option O8c (Compactness-Screened MOND)

Pre-registration of option O8c, not a result. At deposit no O8c prediction has been computed.O8c keeps MOND-type enhancement where the dimensionless tidal invariant X = c²|T|/|g_N|² is below X* = 4×10⁹ and screens it above. Base law ν₀(x) = (1+1/x)^{1/2} with ξ₀ = 1.082401×10⁻¹⁰...