Are there dynamical laws?

The nature of a physical law is examined, and it is suggested that there ma y not be any fundamental dynamical laws. This explains the intrinsic indete rminism of quantum theory. The probabilities for transition from a given in itial state to a final state then it depends on the quantum geometry that i s determined by symmetries, which may exist as relations between states in the absence of dynamical laws. This enables the experimentally well-confirm ed quantum probabilistic laws. An arrow of time which is consistent with th e one given by the second law of thermodynamics, regarded as an effective l aw, is obtained. Symmetries are used as the basis for a new proposed paradi gm of physics. This naturally gives rise to the gravitational procedure for obtaining interactions from any symmetry group.