A note on noncommutativity

Ambiguities have recently been found in the definition of the partial derivative (in the case of presence of both explicit and implicit dependencies of the function subjected to differentiation). We investigate the possible influence of this subject on quantum mechanics and the classical/quantum field theory. Surprisingly, some commutators of operators of space-time four-coordinates and those of four-momenta are not equal to zero. (C) 2018 Physics Essays Publication.