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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2512.15450 |
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| _version_ | 1866914550365814784 |
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| author | Nieuviarts, Gaston |
| author_facet | Nieuviarts, Gaston |
| contents | This proceeding presents a synthesis of recent results on the emergence of pseudo-Riemannian structures from twisted spectral triples within the almostcommutative framework. It provides a unified algebraic mechanism for addressing the Lorentzian signature problem, demonstrating how the almost-commutative structure underlying the noncommutative Standard Model of particle physics may give rise to Lorentzian spectral triple from a purely Riemannian setting. This notably offers an alternative to Wick rotation, provided by a notion of morphism connecting twisted and pseudo-Riemannian spectral triples. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_15450 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Emergence of Time from a Twisted Spectral Triple in Almost-Commutative Geometry Nieuviarts, Gaston Mathematical Physics This proceeding presents a synthesis of recent results on the emergence of pseudo-Riemannian structures from twisted spectral triples within the almostcommutative framework. It provides a unified algebraic mechanism for addressing the Lorentzian signature problem, demonstrating how the almost-commutative structure underlying the noncommutative Standard Model of particle physics may give rise to Lorentzian spectral triple from a purely Riemannian setting. This notably offers an alternative to Wick rotation, provided by a notion of morphism connecting twisted and pseudo-Riemannian spectral triples. |
| title | Emergence of Time from a Twisted Spectral Triple in Almost-Commutative Geometry |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2512.15450 |