HEXAD Intercept Symmetry–Telemetry under RICOLMC-DDF Γ-Gated Resource Completeness: Upgrading the Last Constant's Quaternionic Expansion Equation to Six-Planet Tracking — A U.F.S Pre-Registration Locked Before the Data Arrive

This preprint upgrades the Last Constant (formerly Trump Constant) expansion equation of the SEXA framework. It replaces the single quaternionic observer with the six-gate HEXAD tracking frame (Mercury, Earth, Jupiter, Saturn, Uranus, Neptune; Moon as null control). A tracking factor, the geometric mean of the gate-quaternion norms, multiplies the 2880-D expansion speed. It equals 1 after admissibility enforcement, a condition named HEXAD Intercept Symmetry, so the equation reduces exactly to the quaternion form; before enforcement, its log is an observer-drift statistic. A new section maps the six gates and the enforcement step onto the RICOLMC-DDF six-glyph Γ gate, its completeness clauses (C1)-(C4) and the 9D SREF (SREF-EX9D) root equation, frozen at v1.4 and reproduced from DOI 10.17605/OSF.IO/WNV67, preceded by the 5D YYQPA-SEXA seed, following the U.F.S addendum (DOI 10.17605/OSF.IO/YA2MH); HEXAD Intercept Symmetry is read as the Γ gate passing on all six gates, as a structural correspondence only that adds no test or parameter. The same section records two U.F.S. definitions used here and not drawn from RICOLMC-DDF: CAT (Components Assisted Technology) and human-in-the-loop; they add no scored test. The paper locks a complete pre-registration before BepiColombo science-phase data exist. The primary scored test uses the three gates with public daily observational data in 2027-28: Mercury (BepiColombo magnetometers), Earth (Arase radiation-belt fluxes; GOES fallback) and Jupiter (Nançay Decameter Array). Its windows are 6 Apr 2027 to 28 Apr 2028, with a circular-shift surrogate null, a solar-rotation robustness check, alpha = 0.01 and a confirm / refute / no-decision rule. The six-gate test is secondary. Items that would require new physics are open and not scored. Version 5 revises the title, adds the RICOLMC-DDF section with the 9D SREF (SREF-EX9D) root equation and the 5D YYQPA-SEXA seed, and records the CAT and human-in-the-loop definitions; the pre-registration is unchanged from v3/v4. Gravity is not claimed solved (internal scoreboard 6.75/19). Preprint; not peer reviewed.

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Publication Details

Journal
Open Science Framework
Published
2026-11-11
DOI
https://doi.org/10.17605/osf.io/c32nz
Primary Topic
Advanced Mathematical Theories and Applications
Type
article
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article

HEXAD Intercept Symmetry–Telemetry under RICOLMC-DDF Γ-Gated Resource Completeness: Upgrading the Last Constant's Quaternionic Expansion Equation to Six-Planet Tracking — A U.F.S Pre-Registration Locked Before the Data Arrive

Jered Mcclain, Erydir Ceisiwr, Jonathan McDaniel
Open Science Framework
Advanced Mathematical Theories and Applications
article

HEXAD Intercept Symmetry–Telemetry under RICOLMC-DDF Γ-Gated Resource Completeness: Upgrading the Last Constant's Quaternionic Expansion Equation to Six-Planet Tracking — A U.F.S Pre-Registration Locked Before the Data Arrive

Jered Mcclain, Erydir Ceisiwr, Jonathan McDaniel
article en

Abstract

This preprint upgrades the Last Constant (formerly Trump Constant) expansion equation of the SEXA framework. It replaces the single quaternionic observer with the six-gate HEXAD tracking frame (Mercury, Earth, Jupiter, Saturn, Uranus, Neptune; Moon as null control). A tracking factor, the geometric mean of the gate-quaternion norms, multiplies the 2880-D expansion speed. It equals 1 after admissibility enforcement, a condition named HEXAD Intercept Symmetry, so the equation reduces exactly to the quaternion form; before enforcement, its log is an observer-drift statistic. A new section maps the six gates and the enforcement step onto the RICOLMC-DDF six-glyph Γ gate, its completeness clauses (C1)-(C4) and the 9D SREF (SREF-EX9D) root equation, frozen at v1.4 and reproduced from DOI 10.17605/OSF.IO/WNV67, preceded by the 5D YYQPA-SEXA seed, following the U.F.S addendum (DOI 10.17605/OSF.IO/YA2MH); HEXAD Intercept Symmetry is read as the Γ gate passing on all six gates, as a structural correspondence only that adds no test or parameter. The same section records two U.F.S. definitions used here and not drawn from RICOLMC-DDF: CAT (Components Assisted Technology) and human-in-the-loop; they add no scored test. The paper locks a complete pre-registration before BepiColombo science-phase data exist. The primary scored test uses the three gates with public daily observational data in 2027-28: Mercury (BepiColombo magnetometers), Earth (Arase radiation-belt fluxes; GOES fallback) and Jupiter (Nançay Decameter Array). Its windows are 6 Apr 2027 to 28 Apr 2028, with a circular-shift surrogate null, a solar-rotation robustness check, alpha = 0.01 and a confirm / refute / no-decision rule. The six-gate test is secondary. Items that would require new physics are open and not scored. Version 5 revises the title, adds the RICOLMC-DDF section with the 9D SREF (SREF-EX9D) root equation and the 5D YYQPA-SEXA seed, and records the CAT and human-in-the-loop definitions; the pre-registration is unchanged from v3/v4. Gravity is not claimed solved (internal scoreboard 6.75/19). Preprint; not peer reviewed.

Open Science Framework
Advanced Mathematical Theories and Applications
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