A Kähler and quaternion-Kähler spacetime structure
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866910087170228224 |
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| author | Mendes, R. Vilela |
| author_facet | Mendes, R. Vilela |
| contents | When real Lorentzian spacetime is embedded into a manifold parametrized by higher division algebras (complex or quaternion with Hermitean metric) and the representation constraints of their symmetry groups are made compatible, a set of quantum numbers is generated that is evocative of those of the standard model of particle physics. This is taken here as a hint that in spacetime there is a pseudo-Kähler or pseudo-quaternion-Kähler structure, real spacetime being a submanifold that inherits the symmetry contraints of the larger ambient manifold. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_26694 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A Kähler and quaternion-Kähler spacetime structure Mendes, R. Vilela General Physics When real Lorentzian spacetime is embedded into a manifold parametrized by higher division algebras (complex or quaternion with Hermitean metric) and the representation constraints of their symmetry groups are made compatible, a set of quantum numbers is generated that is evocative of those of the standard model of particle physics. This is taken here as a hint that in spacetime there is a pseudo-Kähler or pseudo-quaternion-Kähler structure, real spacetime being a submanifold that inherits the symmetry contraints of the larger ambient manifold. |
| title | A Kähler and quaternion-Kähler spacetime structure |
| topic | General Physics |
| url | https://arxiv.org/abs/2603.26694 |