The inevitable nonlinearity of quantum gravity falsifies the many-worlds interpretation of quantum mechanics

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dc.creatorSingh, T. P.
dc.date2007-05-16
dc.date.accessioned2026-07-07T11:41:08Z
dc.date.available2026-07-07T11:41:08Z
dc.descriptionThere are fundamental reasons as to why there should exist a reformulation of quantum mechanics which does not refer to a classical spacetime manifold. It follows as a consequence that quantum mechanics as we know it is a limiting case of a more general nonlinear quantum theory, with the nonlinearity becoming significant at the Planck mass/energy scale. This nonlinearity is responsible for a dynamically induced collapse of the wave-function, during a quantum measurement, and it hence falsifies the many-worlds interpretation of quantum mechanics. We illustrate this conclusion using a mathematical model based on a generalized Doebner-Goldin equation. The non-Hermitian part of the Hamiltonian in this norm-preserving, nonlinear, Schrodinger equation dominates during a quantum measurement, and leads to a breakdown of linear superposition.
dc.description6 pages. Honorable Mention in Gravity Research Foundation Essay Competition 2007. This is also a summary of a talk given at the Meeting `Himalayan Relativity Dialogue', Mirik, India, 18-20 April, 2007. Detailed version of this essay is in preparation
dc.identifierhttps://arxiv.org/abs/0705.2357
dc.identifierhttp://arxiv.org/abs/0705.2357
dc.identifierInt.J.Mod.Phys.D17:611-615,2008
dc.identifierdoi:10.1142/S0218271808012346
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/200430
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Physics
dc.titleThe inevitable nonlinearity of quantum gravity falsifies the many-worlds interpretation of quantum mechanics
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