No-Signalling Fixes the Hilbert-Space Inner Product
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2026
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866911384778833920 |
|---|---|
| author | Pati, Arun Kumar |
| author_facet | Pati, Arun Kumar |
| contents | We investigate whether the inner product structure of quantum mechanics can be modified without violating fundamental physical principles. We consider a generalized inner product defined by a positive operator and assume local unitary dynamics, existence of entangled states and the no-signalling principle. We show that any nontrivial choice of inner product different from standard one inevitably leads to superluminal signalling, in contradiction with relativistic causality. Therefore, the standard Hilbert-space inner product is uniquely enforced by no-signalling. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_13012 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | No-Signalling Fixes the Hilbert-Space Inner Product Pati, Arun Kumar Quantum Physics We investigate whether the inner product structure of quantum mechanics can be modified without violating fundamental physical principles. We consider a generalized inner product defined by a positive operator and assume local unitary dynamics, existence of entangled states and the no-signalling principle. We show that any nontrivial choice of inner product different from standard one inevitably leads to superluminal signalling, in contradiction with relativistic causality. Therefore, the standard Hilbert-space inner product is uniquely enforced by no-signalling. |
| title | No-Signalling Fixes the Hilbert-Space Inner Product |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2601.13012 |