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The Associated Metric for a Particle in a Quantum Energy Level

E. Atzmon

quant-pharXiv:quant-ph/9703044

Abstract

We show that the probabilistic distribution over the space in the spectator world, can be associated via noncommutative geometry (with some modifications) to a metric in which the particle lives. According to this geometrical view, the metric in the particle world is ``contracted'' or ``stretched'' in an inverse proportion to the probability distribution.

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