A Pre-declared Inertial Audit of the Coupled SkyrmeSubstrate Conguration Paper IV of the Verarmungsfeldtheorie series
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2026
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| _version_ | 1866902113680883712 |
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| author | Flügge, Jan-Frederik |
| author_facet | Flügge, Jan-Frederik |
| contents | <p class="p1">We report the result of a pre-registered inertial audit of the coupled (U,χ) static congura-</p> <p class="p1">tion constructed in Paper III of the present series. The audit evaluates the rigid-translation</p> <p class="p1">moduli inertia G<span class="s1">coupled</span></p> <p class="p1"><span class="s1">XX </span>on the archived Paper-III branch and compares the dimensionless</p> <p class="p1">ratio R(α) = G<span class="s1">coupled</span></p> <p class="p1"><span class="s1">XX </span>/E<span class="s1">coupled </span>against the Paper-I at anchor R(0) = 1.0000446 on the</p> <p class="p1">pre-declared coupling grid A= {0.05,0.10,0.15,0.20,0.25,0.28}at m<span class="s1">χ </span>= 1. The primary</p> <p class="p1">observable is δ<span class="s1">max </span>= max<span class="s1">α</span>|R(α)/R(0)−1|. We nd</p> <p class="p1">δ<span class="s1">max </span>= 0.2611423 at α<span class="s1">⋆ </span>= 0.28,</p> <p class="p1">placing the coupled branch in Outcome B: partial inertial preservation under the frozen</p> <p class="p1">Protocol Note v0.1. The drift is mechanistically driven by the conformal A<span class="s1">2</span>-weighting of</p> <p class="p1">the Skyrme contribution to the moduli inertia, an eect predicted on structural grounds by</p> <p class="p1">the frozen Structural Pre-Numerical Expectation Note v0.1 before any numerical evaluation.</p> <p class="p1">The drift is monotone across the branch and predominantly accelerated in coupling; the</p> <p class="p1">classication is stable under the D1, D2, D3, D5, D6 admissibility lters, with the D3 mesh</p> <p class="p1">stability check veried via an auxiliary branch-preserving regrid procedure. D4 is directly</p> <p class="p1">veried at the multi-seed probe points α= 0.10 and α= 0.20 with relative spreads ∼10<span class="s1">−12</span>;</p> <p class="p1">a full-grid D4 extension was not performed and is documented as a coverage limitation. The</p> <p class="p1">static internalisation of the Paper-I sectoral imbalance documented in Paper III therefore</p> <p class="p1">moderates, but does not remove, the inertial obstruction. The minimal scalar-conformal</p> <p class="p1">synthesis is not inertially closed; the minimal path remains open for the controlled robustness</p> <p class="p1">probes permitted under Outcome B, and explicitly does not justify ontological escalation at</p> <p class="p1">this stage.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_20374415 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
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| spellingShingle | A Pre-declared Inertial Audit of the Coupled SkyrmeSubstrate Conguration Paper IV of the Verarmungsfeldtheorie series Flügge, Jan-Frederik Verarmungsfeldtheorie eective eld theory Skyrme soliton scalar substrate conformal coupling Kopnin translation mass moduli-space inertia topological soliton <p class="p1">We report the result of a pre-registered inertial audit of the coupled (U,χ) static congura-</p> <p class="p1">tion constructed in Paper III of the present series. The audit evaluates the rigid-translation</p> <p class="p1">moduli inertia G<span class="s1">coupled</span></p> <p class="p1"><span class="s1">XX </span>on the archived Paper-III branch and compares the dimensionless</p> <p class="p1">ratio R(α) = G<span class="s1">coupled</span></p> <p class="p1"><span class="s1">XX </span>/E<span class="s1">coupled </span>against the Paper-I at anchor R(0) = 1.0000446 on the</p> <p class="p1">pre-declared coupling grid A= {0.05,0.10,0.15,0.20,0.25,0.28}at m<span class="s1">χ </span>= 1. The primary</p> <p class="p1">observable is δ<span class="s1">max </span>= max<span class="s1">α</span>|R(α)/R(0)−1|. We nd</p> <p class="p1">δ<span class="s1">max </span>= 0.2611423 at α<span class="s1">⋆ </span>= 0.28,</p> <p class="p1">placing the coupled branch in Outcome B: partial inertial preservation under the frozen</p> <p class="p1">Protocol Note v0.1. The drift is mechanistically driven by the conformal A<span class="s1">2</span>-weighting of</p> <p class="p1">the Skyrme contribution to the moduli inertia, an eect predicted on structural grounds by</p> <p class="p1">the frozen Structural Pre-Numerical Expectation Note v0.1 before any numerical evaluation.</p> <p class="p1">The drift is monotone across the branch and predominantly accelerated in coupling; the</p> <p class="p1">classication is stable under the D1, D2, D3, D5, D6 admissibility lters, with the D3 mesh</p> <p class="p1">stability check veried via an auxiliary branch-preserving regrid procedure. D4 is directly</p> <p class="p1">veried at the multi-seed probe points α= 0.10 and α= 0.20 with relative spreads ∼10<span class="s1">−12</span>;</p> <p class="p1">a full-grid D4 extension was not performed and is documented as a coverage limitation. The</p> <p class="p1">static internalisation of the Paper-I sectoral imbalance documented in Paper III therefore</p> <p class="p1">moderates, but does not remove, the inertial obstruction. The minimal scalar-conformal</p> <p class="p1">synthesis is not inertially closed; the minimal path remains open for the controlled robustness</p> <p class="p1">probes permitted under Outcome B, and explicitly does not justify ontological escalation at</p> <p class="p1">this stage.</p> |
| title | A Pre-declared Inertial Audit of the Coupled SkyrmeSubstrate Conguration Paper IV of the Verarmungsfeldtheorie series |
| topic | Verarmungsfeldtheorie eective eld theory Skyrme soliton scalar substrate conformal coupling Kopnin translation mass moduli-space inertia topological soliton |
| url | https://doi.org/10.5281/zenodo.20374415 |