String theory, quantum mechanics and noncommutative geometry: a new perspective on the gravitational dynamics of D0-branes

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dc.creatorSingh, T. P.
dc.date2006-05-11
dc.date.accessioned2026-07-07T10:42:17Z
dc.date.available2026-07-07T10:42:17Z
dc.descriptionWe do not know the symmetries underlying string theory. Furthermore, there must exist an inherently quantum, and spacetime independent, formulation of this theory. Independent of string theory, there should exist a description of quantum mechanics which does not refer to a classical spacetime manifold. We propose such a formulation of quantum mechanics, based on noncommutative geometry. This description reduces to standard quantum mechanics, whenever an external classical spacetime is available. However, near the Planck energy scale, self-gravity effects modify the Schrodinger equation to the non-linear Doebner-Goldin equation. Remarkably, this non-linear equation also arises in the quantum dynamics of D0-branes. This suggests that the noncommutative quantum dynamics introduced here is actually the quantum gravitational dynamics of D0-branes, and that automorphism invariance is a symmetry of string theory.
dc.description6 pages. This essay received an honorable mention in the Gravity Research Foundation Essay Competition, 2006
dc.identifierhttps://arxiv.org/abs/hep-th/0605112
dc.identifierhttp://arxiv.org/abs/hep-th/0605112
dc.identifierInt.J.Mod.Phys.D15:2153-2158,2006
dc.identifierdoi:10.1142/S021827180600973X
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/181896
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectQuantum Physics
dc.titleString theory, quantum mechanics and noncommutative geometry: a new perspective on the gravitational dynamics of D0-branes
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