Spontaneous Emergence of Lorentzian Signature from Curvature-Minimizing Geometry
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908587136122880 |
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| author | Bermudez, Miguel |
| author_facet | Bermudez, Miguel |
| contents | A simple covariant model is presented where the signature of the metric is a dynamical field. Degenerate minima of a curvature-minimizing potential correspond to Euclidean, Lorentzian or mixed phases of geometry. The Lorentzian phase emerges as the only stable configuration supporting causal propagation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_07891 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Spontaneous Emergence of Lorentzian Signature from Curvature-Minimizing Geometry Bermudez, Miguel General Relativity and Quantum Cosmology High Energy Physics - Theory Mathematical Physics 83C05, 83C99, 53C50 A simple covariant model is presented where the signature of the metric is a dynamical field. Degenerate minima of a curvature-minimizing potential correspond to Euclidean, Lorentzian or mixed phases of geometry. The Lorentzian phase emerges as the only stable configuration supporting causal propagation. |
| title | Spontaneous Emergence of Lorentzian Signature from Curvature-Minimizing Geometry |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory Mathematical Physics 83C05, 83C99, 53C50 |
| url | https://arxiv.org/abs/2510.07891 |