Quantum manifolds with classical limit

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dc.creatorHohmann, Manuel
dc.creatorPunzi, Raffaele
dc.creatorWohlfarth, Mattias N. R.
dc.date2008-09-18
dc.date.accessioned2026-07-07T10:03:43Z
dc.date.available2026-07-07T10:03:43Z
dc.descriptionWe propose a mathematical model of quantum spacetime as an infinite-dimensional manifold locally homeomorphic to an appropriate Schwartz space. This extends and unifies both the standard function space construction of quantum mechanics and the manifold structure of spacetime. In this picture we demonstrate that classical spacetime emerges as a finite-dimensional manifold through the topological identification of all quantum points with identical position expectation value. We speculate on the possible relevance of this geometry to quantum field theory and gravity.
dc.description31 pages
dc.identifierhttps://arxiv.org/abs/0809.3111
dc.identifierhttp://arxiv.org/abs/0809.3111
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/169394
dc.subjectMathematical Physics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.titleQuantum manifolds with classical limit
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