The Associated Metric for a Particle in a Quantum Energy Level

Physics – Quantum Physics

Scientific paper

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14 pages, latex, epsf, 3 figures. Some clarifications were added

Scientific paper

10.1142/S0217732397003149

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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