Abstract
Symmetry groups in physics seem to belong to two classes: the so-called relativity (or frame) groups, which may be called the external symmetry groups, defined by the geometric relations between “inertial” systems for which the laws of physics are the same, and the internal symmetry groups. We call the symmetry “internal” because we see only its manifestations; there is no primitive geometric characterization of the symmetry group from any fundamental dynamic principle. We shall try to see to what extent a dynamic principle can be expected to generate a symmetry group.
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