@article {10.3844/ajssp.2013.99.111, article_type = {journal}, title = {Nilpotence and the Generalized Uncertainty Principle (S)}, author = {Kalogeropoulos, Nikos}, volume = {1}, year = {2014}, month = {Jan}, pages = {99-111}, doi = {10.3844/ajssp.2013.99.111}, url = {https://thescipub.com/abstract/ajssp.2013.99.111}, 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.}, journal = {Space Science International}, publisher = {Science Publications} }