dorsal/arxiv
View SchemaModuli of Quanta
| Authors | J. M. Isidro |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0503053 |
| URL | https://arxiv.org/abs/quant-ph/0503053 |
| Journal | Int.J.Geom.Meth.Mod.Phys. 3 (2006) 177-186 |
Abstract
The classical phase of the matrix model of 11-dimensional M-theory is complex, infinite-dimensional Hilbert space. As a complex manifold, the latter admits a continuum of nonequivalent, complex-differentiable structures that can be placed in 1-to-1 correspondence with families of coherent states in the Hilbert space of quantum states. The moduli space of nonbiholomorphic complex structures on classical phase space turns out to be an infinite-dimensional symmetric space. We argue that each choice of a complex differentiable structure gives rise to a physically different notion of an elementary quantum.
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"abstract": "The classical phase of the matrix model of 11-dimensional M-theory is\ncomplex, infinite-dimensional Hilbert space. As a complex manifold, the latter\nadmits a continuum of nonequivalent, complex-differentiable structures that can\nbe placed in 1-to-1 correspondence with families of coherent states in the\nHilbert space of quantum states. The moduli space of nonbiholomorphic complex\nstructures on classical phase space turns out to be an infinite-dimensional\nsymmetric space. We argue that each choice of a complex differentiable\nstructure gives rise to a physically different notion of an elementary quantum.",
"arxiv_id": "quant-ph/0503053",
"authors": [
"J. M. Isidro"
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"journal_ref": "Int.J.Geom.Meth.Mod.Phys. 3 (2006) 177-186",
"title": "Moduli of Quanta",
"url": "https://arxiv.org/abs/quant-ph/0503053"
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