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Newton’s law in an effective non-commutative space-time. (English) Zbl 1073.81054

Summary: The Newtonian potential is computed exactly in a theory that is fundamentally non-commutative in the space-time coordinates. When the dispersion for the distribution of the source is minimal (i.e. it is equal to the non-commutative parameter \(\theta\)), the behaviour for large and small distances is analysed.

MSC:

81R60 Noncommutative geometry in quantum theory
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