| _version_ | 1866901089012416512 |
|---|---|
| author | Bharadwaj, Hemu |
| author_facet | Bharadwaj, Hemu |
| contents | <p><span>We present a reconstruction of quantum correlation structure from six <strong>admissibility principles</strong>: compositional closure, locality factorization, norm-bounded growth, convex linearity, closure symmetry (self-duality), and local tomography. We show that these conditions force the state space to be a homogeneous self-dual cone, which by the Koecher–Vinberg theorem corresponds to a Euclidean Jordan algebra. Imposing physical composition constraints reduces this structure uniquely to complex matrix algebras. The <strong>Tsirelson bound</strong> then follows as a corollary of operator norm boundedness. Superquantum correlations (e.g., PR-box correlations) are excluded not by appeal to relativity but by violation of norm-bounded compositional closure. The result reframes quantum theory as the maximal globally admissible correlation theory under bounded composition</span></p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18898150 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Admissibility, Self-Dual Closure, and the Structural Origin of the Tsirelson Bound Bharadwaj, Hemu Quantum physics Quantum Theory Quantum field theory <p><span>We present a reconstruction of quantum correlation structure from six <strong>admissibility principles</strong>: compositional closure, locality factorization, norm-bounded growth, convex linearity, closure symmetry (self-duality), and local tomography. We show that these conditions force the state space to be a homogeneous self-dual cone, which by the Koecher–Vinberg theorem corresponds to a Euclidean Jordan algebra. Imposing physical composition constraints reduces this structure uniquely to complex matrix algebras. The <strong>Tsirelson bound</strong> then follows as a corollary of operator norm boundedness. Superquantum correlations (e.g., PR-box correlations) are excluded not by appeal to relativity but by violation of norm-bounded compositional closure. The result reframes quantum theory as the maximal globally admissible correlation theory under bounded composition</span></p> |
| title | Admissibility, Self-Dual Closure, and the Structural Origin of the Tsirelson Bound |
| topic | Quantum physics Quantum Theory Quantum field theory |
| url | https://doi.org/10.5281/zenodo.18898150 |