Quantum Spacetime: Emergent Curved Metrics from Relational Separations
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arXiv
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| Format: | Preprint |
| Publié: |
2001
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| _version_ | 1866916720226074624 |
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| author | Philpot, Craig |
| author_facet | Philpot, Craig |
| contents | In this paper, we propose a novel Quantum Spacetime Theory (QST) that reinterprets spacetime as an emergent structure, challenging the traditional block universe paradigm and aligning with research into emergent spacetime. Using a sphere intersection method, spacetime geometry is constructed from spacelike separations that are inversely proportional to mutual information between quantum subsystems. We show that geometry derived from relational spacelike separations renders a flat metric insufficient, with a curved metric as an inevitable consequence, highlighting spacetime's relational nature. Specifically, the emergent metric exhibits gravitational-like acceleration effects driven by quantum constraints, yielding an inverse-square law $r^{-2}$ with deviations ranging from $r^{-1}$ to $r^{-3}$, consistent with cosmological contexts and post-Newtonian corrections, respectively. Geometric shortcuts for quantum non-locality, aligned with the ER=EPR conjecture, emerge from specific configurations, driven by mutual information between quantum subsystems. Compared to general relativity, our model shares curved spacetime but features observer-dependent metrics emergent from quantum subsystems and a presentist perspective, contrasting eternalist metrics. This quantum-geometric framework advances quantum gravity, with future work focusing on refining the quantum-geometric mapping and exploring cosmological implications. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_physics_0107050 |
| institution | arXiv |
| publishDate | 2001 |
| record_format | arxiv |
| spellingShingle | Quantum Spacetime: Emergent Curved Metrics from Relational Separations Philpot, Craig General Physics In this paper, we propose a novel Quantum Spacetime Theory (QST) that reinterprets spacetime as an emergent structure, challenging the traditional block universe paradigm and aligning with research into emergent spacetime. Using a sphere intersection method, spacetime geometry is constructed from spacelike separations that are inversely proportional to mutual information between quantum subsystems. We show that geometry derived from relational spacelike separations renders a flat metric insufficient, with a curved metric as an inevitable consequence, highlighting spacetime's relational nature. Specifically, the emergent metric exhibits gravitational-like acceleration effects driven by quantum constraints, yielding an inverse-square law $r^{-2}$ with deviations ranging from $r^{-1}$ to $r^{-3}$, consistent with cosmological contexts and post-Newtonian corrections, respectively. Geometric shortcuts for quantum non-locality, aligned with the ER=EPR conjecture, emerge from specific configurations, driven by mutual information between quantum subsystems. Compared to general relativity, our model shares curved spacetime but features observer-dependent metrics emergent from quantum subsystems and a presentist perspective, contrasting eternalist metrics. This quantum-geometric framework advances quantum gravity, with future work focusing on refining the quantum-geometric mapping and exploring cosmological implications. |
| title | Quantum Spacetime: Emergent Curved Metrics from Relational Separations |
| topic | General Physics |
| url | https://arxiv.org/abs/physics/0107050 |