  The physical world is quantum. However, our description of the quantum
physics still relies much on concepts in classical physics and in some cases
with `quantized' interpretations. The most important case example is that of
spacetime. We examine the picture of the physical space as described by simple,
so-called non-relativisitic, quantum mechanics instead of assuming the
Newtonian model. The key perspective is that of (relativity) symmetry
representation, and the idea that the physical space is to be identified as the
configuration space for a free particle. Parallel to the case of the phase
space, we have a model of the quantum physical space which reduces to the
Newtonian classical model under the classical limit. The latter is to be
obtained as a contraction limit of the relativity symmetry.
