dorsal/arxiv
View SchemaQuantum Spacetime: Emergent Curved Metrics from Relational Separations
| Authors | Craig Philpot |
|---|---|
| Categories | |
| ArXiv ID | physics/0107050 |
| URL | https://arxiv.org/abs/physics/0107050 |
| License | http://creativecommons.org/licenses/by/4.0/ |
Abstract
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.
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"abstract": "In this paper, we propose a novel Quantum Spacetime Theory (QST) that\nreinterprets spacetime as an emergent structure, challenging the traditional\nblock universe paradigm and aligning with research into emergent spacetime.\nUsing a sphere intersection method, spacetime geometry is constructed from\nspacelike separations that are inversely proportional to mutual information\nbetween quantum subsystems. We show that geometry derived from relational\nspacelike separations renders a flat metric insufficient, with a curved metric\nas an inevitable consequence, highlighting spacetime\u0027s relational nature.\nSpecifically, the emergent metric exhibits gravitational-like acceleration\neffects driven by quantum constraints, yielding an inverse-square law $r^{-2}$\nwith deviations ranging from $r^{-1}$ to $r^{-3}$, consistent with cosmological\ncontexts and post-Newtonian corrections, respectively. Geometric shortcuts for\nquantum non-locality, aligned with the ER=EPR conjecture, emerge from specific\nconfigurations, driven by mutual information between quantum subsystems.\nCompared to general relativity, our model shares curved spacetime but features\nobserver-dependent metrics emergent from quantum subsystems and a presentist\nperspective, contrasting eternalist metrics. This quantum-geometric framework\nadvances quantum gravity, with future work focusing on refining the\nquantum-geometric mapping and exploring cosmological implications.",
"arxiv_id": "physics/0107050",
"authors": [
"Craig Philpot"
],
"categories": [
"physics.gen-ph"
],
"license": "http://creativecommons.org/licenses/by/4.0/",
"title": "Quantum Spacetime: Emergent Curved Metrics from Relational Separations",
"url": "https://arxiv.org/abs/physics/0107050"
},
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