Ideas from deformation quantization are applied to deform the expression of elements of an algebra. Extending these ideas to certain transcendental elements implies that i\h1uv in the Weyl algebra is naturally viewed as an indeterminate living in a discrete set N+1/2 {\it or} −(N+1/2) . This may yield a more mathematical understanding of Dirac's positron theory.
@article{arxiv.0711.2608,
title = {Expressions of algebra elements and transcendental noncommutative calculus},
author = {Hideki Omori and Yoshiaki Maeda and Naoya Miyazaki and Akira Yoshioka},
journal= {arXiv preprint arXiv:0711.2608},
year = {2017}
}