1303.2434 (Nikos Kalogeropoulos)

Nilpotence and the generalized uncertainty principle(s)    [PDF]

Nikos Kalogeropoulos

We point out that some of the proposed generalized/modified uncertainty principles originate from solvable, or nilpotent at appropriate limits, 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.

View original: http://arxiv.org/abs/1303.2434