  We illustrate the thesis that if time did not exist, we would have to create
it if space is noncommutative, and extend functions by something like
Schroedinger's equation. We propose that the phenomenon is a somewhat general
mechanism within noncommutative geometry for `spontaneous time generation'. We
show in detail how this works for the $su_2$ algebra $[x_i,x_j]=2\imath\lambda
\epsilon_{ij}{}^kx_k$ as noncommutative space, by explicitly adjoining the
forced time variable. We find the natural induced noncommutative Schroedingers
equation and show that it has the correct classical limit for a particle of
some mass $m\ne 0$, which is generated as a second free parameter by the
theory. We show that plane waves exist provided $|\vec p|< \pi/2\lambda$, i.e.
we find a Planckian bound on spatial momentum. We also propose dispersion
relations $|{\del p^0\over\del \vec p}|=|\tan({\lambda}|\vec p|)|/m\lambda$ for
the model and explore some elements of the noncommutative geometry. The model
is complementary to our previous bicrossproduct one.
