1Research Foundation of Southern California, 8861Villa La Jolla Drive#13595, La Jolla, CA92039, USA. E-mail: sbdavis@resfdnsca.org
†Corresponding author Simon Davis, E-mail: sbdavis@resfdnsca.org
The commutation relations of quantum mechanics have a classical limit equal to the Poisson brackets if the coefficient is generalized to be a complex rather than purely imaginary. The effect on the uncertainty relations is described. The complex number may be identified with a modular variable and the quantization is derived from topology.
Quantum commutator, Classical limit, Generalized momentum, Hermiticity
