dorsal/arxiv
View SchemaSymmetries, Quantum Geometry, and the Fundamental Interactions
| Authors | Jeeva Anandan |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0012011 |
| URL | https://arxiv.org/abs/quant-ph/0012011 |
| Journal | Int.J.Theor.Phys. 41 (2002) 199-220 |
Abstract
A generalized Noether's theorem and the operational determination of a physical geometry in quantum physics are used to motivate a quantum geometry consisting of relations between quantum states that are defined by a universal group. Making these relations dynamical implies the non local effect of the fundamental interactions on the wave function, as in the Aharonov-Bohm effect and its generalizations to non Abelian gauge fields and gravity. The usual space-time geometry is obtained as the classical limit of this quantum geometry using the quantum state space metric.
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"abstract": "A generalized Noether\u0027s theorem and the operational determination of a\nphysical geometry in quantum physics are used to motivate a quantum geometry\nconsisting of relations between quantum states that are defined by a universal\ngroup. Making these relations dynamical implies the non local effect of the\nfundamental interactions on the wave function, as in the Aharonov-Bohm effect\nand its generalizations to non Abelian gauge fields and gravity. The usual\nspace-time geometry is obtained as the classical limit of this quantum geometry\nusing the quantum state space metric.",
"arxiv_id": "quant-ph/0012011",
"authors": [
"Jeeva Anandan"
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"journal_ref": "Int.J.Theor.Phys. 41 (2002) 199-220",
"title": "Symmetries, Quantum Geometry, and the Fundamental Interactions",
"url": "https://arxiv.org/abs/quant-ph/0012011"
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