Visnyk of the Lviv University. Series Physics 56 (2019) . 31-42
DOI: https://doi.org/10.30970/vph.56.2019.31

Relation of parameters of noncommutative algebra with mass and the equivalence principle in a space with quadratic noncommutativity of coordinates

Kh. P. Gnatenko, O. I. Hryhorchak

We find that relation of parameters of noncommutative algebra with mass gives a possibility to solve important problems in quadratic space-time. We show that if parameter of noncommutative algebra is proportional to mass the coordinates in quadratic space-time can be considered as kinematic variables, also the weak equivalence principle is recovered and relations for coordinates and momenta of the center-of-mass of a body correspond to relations of noncommutative algebra with effective parameter.

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