The Geometry of Noncommutative Space-Time
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DOI: 10.1007/s10773-016-3166-9
Abstract: Stabilization, by deformation, of the Poincaré-Heisenberg algebra requires both the introduction of a fundamental lentgh and the noncommutativity of translations which is associated to the gravitational field. The noncommutative geometry structure that follows from the… read more here.
Keywords: geometry noncommutative; space; noncommutative space; space time ... See more keywords
Finite Two-Point Space Without Quantization on Noncommutative Space from a Generalized Fractional Integral Operator
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DOI: 10.1007/s11785-018-0766-9
Abstract: We show in this communication that if the Mellin transform is replaced by a fractional generalized integral on a noncommutative space and using the basic axioms of spectral triples, the two-point space problem is finite… read more here.
Keywords: space; noncommutative space; quantization; two point ... See more keywords
The Klein–Gordon equation with the Kratzer potential in the noncommutative space
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DOI: 10.1142/s0217732318502036
Abstract: The Klein–Gordon equation is considered for the Kratzer potential in the spherical polar coordinate in laboratory frame in noncommutative space. The energy shift due to noncommutativity is obtained via the perturbation theory. After rather cumbersome… read more here.
Keywords: space; noncommutative space; gordon equation; kratzer potential ... See more keywords