With respect to physical laws, one point in space is no different from any other.
This kind of symmetry and the idea that the universe, like an undisturbed bubble of water
suspended weightless in space, assumes the state of least energy, a perfect sphere,
results in the conservation of momentum.
Similarly, gauge symmetry results in conservation of electric charge,
and rotation symmetry results in conservation of angular momentum.
See also in The book of science:
Readings in wikipedia: