Scope and Limits of the Bridge 3 Closure in the COCM: What P6 Closed and What Remains Open
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| Format: | Recurso digital |
| Langue: | anglais |
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2026
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| _version_ | 1866902099517767680 |
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| author | Vázquez González, José Luis |
| author_facet | Vázquez González, José Luis |
| contents | <p>This note clarifies the logical scope of P6 within the COCM corpus. P6 [1] establishes a conditional closure of Bridge 3 by deriving k₁ from the Israel junction conditions and expressing the COCM invariant J analytically within the dynamically coupled bulk framework. What remains open is not the J-closure itself, but the independent geometric derivation of the orbital ellipticity e > 0 and the non-perturbative completion of the bulk beyond the linear regime. The purpose of this note is methodological: to separate the results genuinely derived in P6 from the assumptions that remain external to it, and to state precisely the limits of the Bridge 3 closure.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_20392784 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Scope and Limits of the Bridge 3 Closure in the COCM: What P6 Closed and What Remains Open Vázquez González, José Luis COCM Bridge 3 Conditional closure Israel junction conditions Orbital ellipticity Bulk geometry Methodological note VFT Scope <p>This note clarifies the logical scope of P6 within the COCM corpus. P6 [1] establishes a conditional closure of Bridge 3 by deriving k₁ from the Israel junction conditions and expressing the COCM invariant J analytically within the dynamically coupled bulk framework. What remains open is not the J-closure itself, but the independent geometric derivation of the orbital ellipticity e > 0 and the non-perturbative completion of the bulk beyond the linear regime. The purpose of this note is methodological: to separate the results genuinely derived in P6 from the assumptions that remain external to it, and to state precisely the limits of the Bridge 3 closure.</p> |
| title | Scope and Limits of the Bridge 3 Closure in the COCM: What P6 Closed and What Remains Open |
| topic | COCM Bridge 3 Conditional closure Israel junction conditions Orbital ellipticity Bulk geometry Methodological note VFT Scope |
| url | https://doi.org/10.5281/zenodo.20392784 |