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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2512.13206 |
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| _version_ | 1866908712314077184 |
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| author | Heller, Michael Miller, Tomasz Sasin, Wiesław |
| author_facet | Heller, Michael Miller, Tomasz Sasin, Wiesław |
| contents | In this work, we propose a dangerous journey -- a journey through the strong singularity from one universe to another or from inside of a black hole to its 'inverse' as a white hole. Such singularities are hidden in the Friedman and Schwarzschild solutions; we call them malicious singularities. The journey is made possible owing to two generalizations. The first generalization consists in considering spaces with differential structures on them (the so-called ringed spaces) rather than the usual manifolds. This entails a generalization of the concept of smoothness, which allows us to think about a smooth passage through the singularity. The second generalization is related to the concept of curve. We show that if a kind of singularity is implanted in the set of curve's parameters, along with an appropriate topology, in such a way that the structure of the set of parameters corresponds to the structure of the singular space-time, the curve can smoothly -- in a generalized sense -- pass through the singularity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_13206 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Through the Singularity Heller, Michael Miller, Tomasz Sasin, Wiesław General Relativity and Quantum Cosmology Mathematical Physics 58A40, 83C75 In this work, we propose a dangerous journey -- a journey through the strong singularity from one universe to another or from inside of a black hole to its 'inverse' as a white hole. Such singularities are hidden in the Friedman and Schwarzschild solutions; we call them malicious singularities. The journey is made possible owing to two generalizations. The first generalization consists in considering spaces with differential structures on them (the so-called ringed spaces) rather than the usual manifolds. This entails a generalization of the concept of smoothness, which allows us to think about a smooth passage through the singularity. The second generalization is related to the concept of curve. We show that if a kind of singularity is implanted in the set of curve's parameters, along with an appropriate topology, in such a way that the structure of the set of parameters corresponds to the structure of the singular space-time, the curve can smoothly -- in a generalized sense -- pass through the singularity. |
| title | Through the Singularity |
| topic | General Relativity and Quantum Cosmology Mathematical Physics 58A40, 83C75 |
| url | https://arxiv.org/abs/2512.13206 |