TY  - JOUR
AU  - Kalogeropoulos, Nikos 
PY  - 2014
TI  - Nilpotence and the Generalized Uncertainty Principle (S)
JF  - Space Science International
VL  - 1
IS  - 2
DO  - 10.3844/ajssp.2013.99.111
UR  - https://thescipub.com/abstract/ajssp.2013.99.111
AB  - We point out that some of the proposed generalized/modified uncertainty principles originate from solvable, or nilpotent at appropriate limits, &#34deformations&#34 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.