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Background Independent Quantum Mechanics, Gravity, and Physics at Short Distance: Some Insights

2008/04/10 by Aalok
Physics and Astronomy · #Quantum Electrodynamics and Casimir Effect #Quantum Mechanics and Applications #Quantum and Classical Electrodynamics #gr-qc #physics.gen-ph

paper · pdf · doi:10.48550/arxiv.0804.1722

The last paragraph of the paper is deleted. It may appear separately as a comment. 4 Pages

arxiv created 2008/05/01 · arxiv updated 2009/12/01

Abstract

In the present discussion Background Independent framework of Quantum Mechanics and its possible implications in the studies of gravity and Physics at short distance are addressed. The expression of the metric of quantum state space gμν which is intrinsically a quantized quantity, is identified in terms of Compton wavelength as: [<∂μψ|∂νψ> - <∂μψ|ψ> <ψ|∂νψ>] = 1 / \lambdabarC2 (=m02c2 / ℏ2). The discussion also sheds light on the notion of neighborhood in quantum evolution, and various constraints on the possibilities of smallness of distance in the quantum mechanical limits.

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