Nilpotence and the generalized uncertainty principle(s)
General Relativity and Quantum Cosmology
2014-01-28 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
We point out that some of the proposed generalized/modified uncertainty principles originate from solvable, or nilpotent at appropriate limits, "deformations" of Lie algebras. We briefly comment on formal aspects related to the well-posedness of one of these algebras. We point out a potential relation of such algebras with Classical Mechanics in the spirit of the symplectic non-squeezing theorem. We also point out their relation to a hierarchy of generalized measure theories emerging in a covariant formalism of quantum gravity.
Cite
@article{arxiv.1303.2434,
title = {Nilpotence and the generalized uncertainty principle(s)},
author = {Nikos Kalogeropoulos},
journal= {arXiv preprint arXiv:1303.2434},
year = {2014}
}
Comments
22 pages, Standard LaTeX2e, No figures. v2:minor corrections. To be published in a Special Issue of the American Journal of Space Science