Revisit the relationship between spread complexity rate and radial momentum
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866912136801812480 |
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| author | He, Peng-Zhang |
| author_facet | He, Peng-Zhang |
| contents | This article discusses the relationship between the boundary spread complexity rate and the radial momentum in the bulk within the framework of AdS/CFT. We demonstrate that the radial momentum of a freely falling particle, as measured by a stationary observer in the bulk, is equal to the spread complexity rate of the boundary conformal field theory. For a massive particle (no matter what the specific mass is), the particle is located at the asymptotic boundary with zero velocity at $t=0$. Additionally, we provide a simple method for obtaining spread complexity from radial momentum using optical geometry. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_19172 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Revisit the relationship between spread complexity rate and radial momentum He, Peng-Zhang High Energy Physics - Theory General Relativity and Quantum Cosmology This article discusses the relationship between the boundary spread complexity rate and the radial momentum in the bulk within the framework of AdS/CFT. We demonstrate that the radial momentum of a freely falling particle, as measured by a stationary observer in the bulk, is equal to the spread complexity rate of the boundary conformal field theory. For a massive particle (no matter what the specific mass is), the particle is located at the asymptotic boundary with zero velocity at $t=0$. Additionally, we provide a simple method for obtaining spread complexity from radial momentum using optical geometry. |
| title | Revisit the relationship between spread complexity rate and radial momentum |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2411.19172 |