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**Group Theory and Physics.....**

Suppose we have a quantum field theory with a defined Lie Group of n-parameters, then if we calculated the invariants of the Lie Group...could we then determine the Lagrangian of the theory?.

That is my opinion i think that given a group for a theory we could know all about the physics.....and when it comes to gravity and standard model..could they be unified by setting the unified theory group AxB where A would be the group for standard model and B the group for gravity (considered both of them as gauge theory), where "x" means direct product of the two groups.