  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.
