A background independent notion of causality
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866916146008031232 |
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| author | Capolupo, Antonio Quaranta, Aniello |
| author_facet | Capolupo, Antonio Quaranta, Aniello |
| contents | We develop a notion of causal order on a generic manifold as independent of the underlying differential and topological structure. We show that sufficiently regular causal orders can be recovered from a distinguished algebra of sets, which plays a role analogous to that of topologies and $σ$ algebras. We then discuss how a natural notion of measure can be associated to the algebra of causal sets. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_09714 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A background independent notion of causality Capolupo, Antonio Quaranta, Aniello Mathematical Physics Logic We develop a notion of causal order on a generic manifold as independent of the underlying differential and topological structure. We show that sufficiently regular causal orders can be recovered from a distinguished algebra of sets, which plays a role analogous to that of topologies and $σ$ algebras. We then discuss how a natural notion of measure can be associated to the algebra of causal sets. |
| title | A background independent notion of causality |
| topic | Mathematical Physics Logic |
| url | https://arxiv.org/abs/2304.09714 |