Fractal Holographic Turbulence: Conformal Invariance of Weak Solutions to Navier-Stokes Equations, Generalization of Onsager's Conjecture, and Nonlocal Entropy Extremum Principle
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2025
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| _version_ | 1866901160755986432 |
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| author | ZHOU, changzheng 周, 子清 |
| author_facet | ZHOU, changzheng 周, 子清 |
| contents | <p>This article constructs a rigorous framework of differential geometry and quan<br>tum field theory on fractal manifolds, proposing the Fractal Holographic Turbulence<br> model (FHEST). It systematically addresses the existence of weak solutions to the<br> Navier-Stokes equations and extends Onsager’s conjecture to the field of nonlo<br>cal statistical mechanics. By introducing dynamic dimension modulation factors,<br> fractal AdS/CFT duality, and topological quantum corrections, it establishes the<br> connection between the scaling law of turbulent energy spectra and the global ex<br>tremum principle of fractal entropy for the first time. Theoretical predictions can<br> be verified through LHC jet distribution and LISA gravitational wave observation<br> experiments, opening up a new paradigm for the study of complex systems.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_14912832 |
| institution | Zenodo |
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| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Fractal Holographic Turbulence: Conformal Invariance of Weak Solutions to Navier-Stokes Equations, Generalization of Onsager's Conjecture, and Nonlocal Entropy Extremum Principle ZHOU, changzheng 周, 子清 Fractal differential geometry; Navier-Stokes weak solutions; Onsager's conjecture; Fractal AdS/CFT duality; Nonlocal entropy; Quantum fluctuations <p>This article constructs a rigorous framework of differential geometry and quan<br>tum field theory on fractal manifolds, proposing the Fractal Holographic Turbulence<br> model (FHEST). It systematically addresses the existence of weak solutions to the<br> Navier-Stokes equations and extends Onsager’s conjecture to the field of nonlo<br>cal statistical mechanics. By introducing dynamic dimension modulation factors,<br> fractal AdS/CFT duality, and topological quantum corrections, it establishes the<br> connection between the scaling law of turbulent energy spectra and the global ex<br>tremum principle of fractal entropy for the first time. Theoretical predictions can<br> be verified through LHC jet distribution and LISA gravitational wave observation<br> experiments, opening up a new paradigm for the study of complex systems.</p> |
| title | Fractal Holographic Turbulence: Conformal Invariance of Weak Solutions to Navier-Stokes Equations, Generalization of Onsager's Conjecture, and Nonlocal Entropy Extremum Principle |
| topic | Fractal differential geometry; Navier-Stokes weak solutions; Onsager's conjecture; Fractal AdS/CFT duality; Nonlocal entropy; Quantum fluctuations |
| url | https://doi.org/10.5281/zenodo.14912832 |