Null Structure from Cyclic Constraints in Complex 3-Space: A Minimalist Model of Directional Geometry from Algebraic Coupling
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| Natura: | Recurso digital |
| Lingua: | inglese |
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Zenodo
2025
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| _version_ | 1866902121887039488 |
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| author | Hentsch, Patrick |
| author_facet | Hentsch, Patrick |
| contents | <p>We present a smooth three-dimensional submanifold of real 6-space defined by cyclic algebraic coupling in complex 3-space. Without invoking curvature, external metrics, or twistor structure, this construction yields an intrinsic null geometry entirely from internal constraints. Every tangent vector satisfies real-part nullity under a pseudo-Euclidean ambient metric, and a homogeneous quadratic condition selects full-null directions, forming a rotationally symmetric cone about a preferred axis. These features echo structures found in Lorentzian and Carrollian geometries, offering a minimal, algebraically defined setting in which directional constraint and cone structure emerge directly from complex-geometric coupling.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_15362868 |
| institution | Zenodo |
| language | eng |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Null Structure from Cyclic Constraints in Complex 3-Space: A Minimalist Model of Directional Geometry from Algebraic Coupling Hentsch, Patrick Differential Geometry Theoretical physics Mathematical physics Algebraic geometry Quantum physics Complex geometry Six-dimensional space Complex space Emergent causality <p>We present a smooth three-dimensional submanifold of real 6-space defined by cyclic algebraic coupling in complex 3-space. Without invoking curvature, external metrics, or twistor structure, this construction yields an intrinsic null geometry entirely from internal constraints. Every tangent vector satisfies real-part nullity under a pseudo-Euclidean ambient metric, and a homogeneous quadratic condition selects full-null directions, forming a rotationally symmetric cone about a preferred axis. These features echo structures found in Lorentzian and Carrollian geometries, offering a minimal, algebraically defined setting in which directional constraint and cone structure emerge directly from complex-geometric coupling.</p> |
| title | Null Structure from Cyclic Constraints in Complex 3-Space: A Minimalist Model of Directional Geometry from Algebraic Coupling |
| topic | Differential Geometry Theoretical physics Mathematical physics Algebraic geometry Quantum physics Complex geometry Six-dimensional space Complex space Emergent causality |
| url | https://doi.org/10.5281/zenodo.15362868 |