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

Abstract

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 UDCT v7.06 construction: a first-gradient control, a linear massive reciprocal model, a planar projection model, a polynomial three-dimensional scalar action, and a saturating scalar action. These are exploratory tests rather than five validated alternatives. The accompanying code reconstructs the stated calculations using the supplied v7.06 audit dependency. The package includes installation requirements, execution instructions, reference outputs, and numerical validation checks. It is not the original historical v7.07 source code. Differences between the manuscript and the reconstructed results are explicitly documented, including discrepancies in selected Plummer virial ratios and planetary precession values. These calculations do not establish the viability of the complete UDCT framework or resolve the earlier v7.06 static problem. They do not directly test full bidirectional projection or dynamic back-reaction. The archive preserves exploratory results and their limitations for inspection and further study. The manuscript is provided under CC BY 4.0. The Python code is provided under the MIT License, as specified in LICENSE.txt. Source repository:https://github.com/wspaik5/UDCT_v7.07_Structural_Action_Tests