Covariant q-Deformed Topological Field Theory on M3: Uniqueness of Dissipative Kinematics and Relativistic Covariant Closure
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| Format: | Recurso digital |
| Langue: | anglais |
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Zenodo
2026
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| _version_ | 1866901150796611584 |
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| author | Wei, Da |
| author_facet | Wei, Da |
| contents | <p>We present a covariant q-deformed effective field theory embedded within a ternary topo-<br>logical manifold (M3). Macroscopic time emerges as a thermodynamic projection of infor-<br>mation flux under topological impedance. By treating localized astrophysical systems as<br>open subsystems, we derive the kinematic velocity profile directly from the coupled field<br>equations. We rigorously prove that the spatial deformation uniquely mandates a Riccati<br>closure. Furthermore, the algebraic flux attenuation is formally derived via renormalization<br>group (RG) flow to an infrared fixed point. Crucially, the theory achieves strict covariant<br>closure via modified Einstein Field Equations, where the topological stress-energy tensor per-<br>fectly sources the effective metric, structurally recovering the Radial Acceleration Relation<br>(RAR) and gravitational lensing without non-baryonic dark matter. This establishes a fully<br>derived, mathematically closed, and falsifiable alternative paradigm.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19710110 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Covariant q-Deformed Topological Field Theory on M3: Uniqueness of Dissipative Kinematics and Relativistic Covariant Closure Wei, Da Modified Gravity General Relativity Theoretical Physics Dark Matter Alternatives Effective Field Theory Topological Manifold Dissipative Systems Renormalization Group (RG) Covariant Action Galactic Dynamics Galaxy Rotation Curves Gravitational Lensing Radial Acceleration Relation (RAR) <p>We present a covariant q-deformed effective field theory embedded within a ternary topo-<br>logical manifold (M3). Macroscopic time emerges as a thermodynamic projection of infor-<br>mation flux under topological impedance. By treating localized astrophysical systems as<br>open subsystems, we derive the kinematic velocity profile directly from the coupled field<br>equations. We rigorously prove that the spatial deformation uniquely mandates a Riccati<br>closure. Furthermore, the algebraic flux attenuation is formally derived via renormalization<br>group (RG) flow to an infrared fixed point. Crucially, the theory achieves strict covariant<br>closure via modified Einstein Field Equations, where the topological stress-energy tensor per-<br>fectly sources the effective metric, structurally recovering the Radial Acceleration Relation<br>(RAR) and gravitational lensing without non-baryonic dark matter. This establishes a fully<br>derived, mathematically closed, and falsifiable alternative paradigm.</p> |
| title | Covariant q-Deformed Topological Field Theory on M3: Uniqueness of Dissipative Kinematics and Relativistic Covariant Closure |
| topic | Modified Gravity General Relativity Theoretical Physics Dark Matter Alternatives Effective Field Theory Topological Manifold Dissipative Systems Renormalization Group (RG) Covariant Action Galactic Dynamics Galaxy Rotation Curves Gravitational Lensing Radial Acceleration Relation (RAR) |
| url | https://doi.org/10.5281/zenodo.19710110 |