The conditional probabilities and the empirical laws in a free scalar QFT in curved spacetime
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866915620611686400 |
|---|---|
| author | Yamashita, Hideyasu |
| author_facet | Yamashita, Hideyasu |
| contents | Unlike QFT in Minkowski spacetime (QFTM), QFT in curved spacetime (QFTCS) suffers from a conceptual obscurity on the empirical (experimentally verifiable/falsifiable) laws. We propose to employ the notion of prior conditional probabilities to describe a part of the empirical laws of QFTCS. This is interpreted as a quantum conditional probability without no information on the initial state. Hence this notion is expected to be free from the inevitable vagueness of the empirical meaning of quantum states in QFTCS. More generally in quantum physics, this notion seems free from the conceptual problems on state reductions. We confine ourselves to the probabilistic laws of the free scalar fields (Klein-Gordon fields) in curved spacetime, which require some reconsideration on the empirical meaning of the canonical commutation relation (CCR). We give some examples of empirical laws in terms of prior conditional probabilities, concerning the CCR and the free scalar QFTCS. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_12311 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The conditional probabilities and the empirical laws in a free scalar QFT in curved spacetime Yamashita, Hideyasu Mathematical Physics General Relativity and Quantum Cosmology High Energy Physics - Theory Quantum Physics 81T20 (Primary) 81P05, 81T05 (Secondary) Unlike QFT in Minkowski spacetime (QFTM), QFT in curved spacetime (QFTCS) suffers from a conceptual obscurity on the empirical (experimentally verifiable/falsifiable) laws. We propose to employ the notion of prior conditional probabilities to describe a part of the empirical laws of QFTCS. This is interpreted as a quantum conditional probability without no information on the initial state. Hence this notion is expected to be free from the inevitable vagueness of the empirical meaning of quantum states in QFTCS. More generally in quantum physics, this notion seems free from the conceptual problems on state reductions. We confine ourselves to the probabilistic laws of the free scalar fields (Klein-Gordon fields) in curved spacetime, which require some reconsideration on the empirical meaning of the canonical commutation relation (CCR). We give some examples of empirical laws in terms of prior conditional probabilities, concerning the CCR and the free scalar QFTCS. |
| title | The conditional probabilities and the empirical laws in a free scalar QFT in curved spacetime |
| topic | Mathematical Physics General Relativity and Quantum Cosmology High Energy Physics - Theory Quantum Physics 81T20 (Primary) 81P05, 81T05 (Secondary) |
| url | https://arxiv.org/abs/2511.12311 |