  We define the notion of the generic state polytope, analogous to the generic
initial ideal and prove its existence: This greatly generalizes the work of
R\"omer and Schmitz who proved the existence of generic Gr\"ober fans. We also
show that a generic state polytope always contains the trivial character:
Equivalently, in any GIT quotient problem of semisimple group representations,
every point is semistable with respect to a {\it general} maximal torus. Also,
we revisit Kempf's proof of the existence of the worst one parameter subgroup
(1-ps) and describe the equations for determining the worst 1-ps.
