Spontaneous symmetry breaking

Suppose we have some laws describing how possible states ought to behave and
they are symmetric under a certain group. But suppose, however, the lowest
energy solution, i.e. the stable solution is not symmetric under that group.
This obviously means the lowest energy state is degenerate and performing a
symmetry transformation on any such state would just lead to another such
state. However, from the point of view of an observer in a state close to
one of these states, it looks as if the symmetry of the dynamical laws are broken.

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