"Radial Coherential Dynamics v11.0: Global Existence, Well-Posedness and Functional Analysis"
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| Format: | Recurso digital |
| Sprache: | Englisch |
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2025
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| _version_ | 1866902083433660416 |
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| author | Cerezo, Arturo |
| author_facet | Cerezo, Arturo |
| contents | <p>Radial Coherential Dynamics v11.0 — Module H — establishes the full mathematical well-posedness of the RCD framework.<br>This module proves:</p> <p>• global existence and uniqueness of solutions,<br>• the invariant range 0 ≤ C ≤ 1 for all time,<br>• energy conservation,<br>• no finite-time blow-up,<br>• Sobolev/Hilbert functional space structure,<br>• equivalence between weak and strong solutions, and<br>• full regularity of the coherence field.</p> <p>Using energy methods, maximum principles, and Gronwall-type bounds, Module H shows that RCD is not only physically motivated but mathematically rigorous. The results meet the standards of Communications in Mathematical Physics and Classical and Quantum Gravity.</p> <p>This release completes the well-posedness program for RCD v11.x.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17768909 |
| institution | Zenodo |
| language | eng |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | "Radial Coherential Dynamics v11.0: Global Existence, Well-Posedness and Functional Analysis" Cerezo, Arturo Radial Coherential Dynamics coherence field global existence well-posedness functional analysis nonlinear PDE mathematical physics gravitational theory coherence potential Sobolev spaces Physics / General Relativity and Quantum Cosmology Physics / Mathematical Physics <p>Radial Coherential Dynamics v11.0 — Module H — establishes the full mathematical well-posedness of the RCD framework.<br>This module proves:</p> <p>• global existence and uniqueness of solutions,<br>• the invariant range 0 ≤ C ≤ 1 for all time,<br>• energy conservation,<br>• no finite-time blow-up,<br>• Sobolev/Hilbert functional space structure,<br>• equivalence between weak and strong solutions, and<br>• full regularity of the coherence field.</p> <p>Using energy methods, maximum principles, and Gronwall-type bounds, Module H shows that RCD is not only physically motivated but mathematically rigorous. The results meet the standards of Communications in Mathematical Physics and Classical and Quantum Gravity.</p> <p>This release completes the well-posedness program for RCD v11.x.</p> |
| title | "Radial Coherential Dynamics v11.0: Global Existence, Well-Posedness and Functional Analysis" |
| topic | Radial Coherential Dynamics coherence field global existence well-posedness functional analysis nonlinear PDE mathematical physics gravitational theory coherence potential Sobolev spaces Physics / General Relativity and Quantum Cosmology Physics / Mathematical Physics |
| url | https://doi.org/10.5281/zenodo.17768909 |