Relativistic implications of entropy and purity
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915348536623104 |
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| author | Balsells, Joseph Bojowald, Martin |
| author_facet | Balsells, Joseph Bojowald, Martin |
| contents | A quantum object is extended by virtue of quantum uncertainty. Subjected to gravity, it therefore experiences tidal forces and other relativistic effects. As a result, entropy and purity affect geodesic motion and acquire weight, an observation that has broad implications from free-fall experiments to Hawking radiation. If the object's position is quantum correlated in at least two directions, a complete description of its geodesic motion requires non-Riemannian geometry of a form controlled by the entropy and purity of its state. In addition, the analysis reveals a new Minkowski structure on a subspace of entanglement degrees of freedom. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_14705 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Relativistic implications of entropy and purity Balsells, Joseph Bojowald, Martin Quantum Physics General Relativity and Quantum Cosmology A quantum object is extended by virtue of quantum uncertainty. Subjected to gravity, it therefore experiences tidal forces and other relativistic effects. As a result, entropy and purity affect geodesic motion and acquire weight, an observation that has broad implications from free-fall experiments to Hawking radiation. If the object's position is quantum correlated in at least two directions, a complete description of its geodesic motion requires non-Riemannian geometry of a form controlled by the entropy and purity of its state. In addition, the analysis reveals a new Minkowski structure on a subspace of entanglement degrees of freedom. |
| title | Relativistic implications of entropy and purity |
| topic | Quantum Physics General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2506.14705 |