Exponentially accelerated mirrors as a physical realization of the kappa plane-wave vacuum
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arXiv
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866915634312380416 |
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| author | Azizi, Arash |
| author_facet | Azizi, Arash |
| contents | The kappa plane-wave vacuum is a family of kinematically defined quantum states whose thermal properties are well understood, but whose physical origin has remained obscure. In this paper we provide a concrete dynamical realization of this vacuum, showing that it is physically and operationally equivalent to the quantum state produced on future null infinity by a mirror following the Carlitz-Willey (CW) trajectory. The equivalence is established through a three-pronged analysis: we demonstrate that the two constructions share identical Bogoliubov squeeze parameters, identical nonlocal thermal kernels in their Wightman functions, and identical Planckian responses of an Unruh-DeWitt detector. This result anchors an abstract kinematic construction in a well-understood dynamical model, identifying the parameter $κ$ with the physical scale that governs the Carlitz-Willey trajectory. In the final part of the paper we characterize, within the moving-mirror framework, the complete class of mirror trajectories that reproduce the same asymptotic thermal kernel on $\mathscr I^+_R$, and show that only the purely exponential CW trajectory generates a constant, stationary flux. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_14239 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Exponentially accelerated mirrors as a physical realization of the kappa plane-wave vacuum Azizi, Arash General Physics The kappa plane-wave vacuum is a family of kinematically defined quantum states whose thermal properties are well understood, but whose physical origin has remained obscure. In this paper we provide a concrete dynamical realization of this vacuum, showing that it is physically and operationally equivalent to the quantum state produced on future null infinity by a mirror following the Carlitz-Willey (CW) trajectory. The equivalence is established through a three-pronged analysis: we demonstrate that the two constructions share identical Bogoliubov squeeze parameters, identical nonlocal thermal kernels in their Wightman functions, and identical Planckian responses of an Unruh-DeWitt detector. This result anchors an abstract kinematic construction in a well-understood dynamical model, identifying the parameter $κ$ with the physical scale that governs the Carlitz-Willey trajectory. In the final part of the paper we characterize, within the moving-mirror framework, the complete class of mirror trajectories that reproduce the same asymptotic thermal kernel on $\mathscr I^+_R$, and show that only the purely exponential CW trajectory generates a constant, stationary flux. |
| title | Exponentially accelerated mirrors as a physical realization of the kappa plane-wave vacuum |
| topic | General Physics |
| url | https://arxiv.org/abs/2509.14239 |