Visnyk of the Lviv University. Series Physics
56 (2019) ñ. 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 coordinatesKh. 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.