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.