Quantum Dimensional Field D: Quantum Curvature Theory
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2025
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| _version_ | 1866902057658613760 |
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| author | zhou, Changzheng zhou, ziqing |
| author_facet | zhou, Changzheng zhou, ziqing |
| contents | <p>This paper establishes a quantum curvature theory based on the transversality<br> theorem, unifying gauge field theory and quantum gravity through dynamic di<br>mensional characteristic classes. The core breakthroughs include: 1) Proof of the<br> RG-fiber bundle transversality theorem, constructing the rigorous category RG;<br> 2) Derivation of the quantum Bianchi identity from variational principles; 3) Es<br>tablishment of an AdS/CFT duality mechanism constrained by spectral radius.<br> Experimental verification achieves ∆Q/Q < 10−4 precision in mesoscopic systems,<br> with mathematical self-consistency ensured through Sobolev embedding theorems,<br> Fredholm theory, and the Leray-Schauder fixed-point theorem.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_16791894 |
| institution | Zenodo |
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| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Quantum Dimensional Field D: Quantum Curvature Theory zhou, Changzheng zhou, ziqing Quantum curvature, Dynamic dimensional field, Renormalization group f iber bundle, AdS/CFT duality, Transversality theorem, Characteristic class, Gauge gravity unification, Mesoscopic measurement <p>This paper establishes a quantum curvature theory based on the transversality<br> theorem, unifying gauge field theory and quantum gravity through dynamic di<br>mensional characteristic classes. The core breakthroughs include: 1) Proof of the<br> RG-fiber bundle transversality theorem, constructing the rigorous category RG;<br> 2) Derivation of the quantum Bianchi identity from variational principles; 3) Es<br>tablishment of an AdS/CFT duality mechanism constrained by spectral radius.<br> Experimental verification achieves ∆Q/Q < 10−4 precision in mesoscopic systems,<br> with mathematical self-consistency ensured through Sobolev embedding theorems,<br> Fredholm theory, and the Leray-Schauder fixed-point theorem.</p> |
| title | Quantum Dimensional Field D: Quantum Curvature Theory |
| topic | Quantum curvature, Dynamic dimensional field, Renormalization group f iber bundle, AdS/CFT duality, Transversality theorem, Characteristic class, Gauge gravity unification, Mesoscopic measurement |
| url | https://doi.org/10.5281/zenodo.16791894 |