Many authors, e.g. Francis Bacon, Richard Feynman and John Barrow, found common properties of a general notion of a physical law. Here we discuss from a methodological and foundational point of view these properties and the meaning of this notion. We believe that for a well posed physical theory T corresponds a geometrical space S which models this theory. Then the physical laws to which the theory T refers are simply physically interpreted geometrical invariants under the group of isometries of the space S. We illustrate this idea on the special theory of relativity STR and the Minkowski space. We show that there is an analogy between the euclidian space (orthogonal transformations) and Minkowski space (Lorenz transformations) in finding invariants. Then we infer in this way some basic physical laws of STR, including relativistic red shift.
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