Particle symmetries and unification

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friend
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I'm given to understand that the internal symmetries of particle physics, U(1)SU(2)SU(3), does not depend on the dimensionality or curvature of the background spacetime. If the present particle symmetry is internal, than how can there be a unification of the forces that make the forces indistinguishable when the particle symmetries themselves continue to be distinctly U(1)SU(2)SU(3)? I wouldn't think that U(1)SU(2)SU(3) depends on energy since that is just motion through space which it does not depend on. Any help is appreciated. Thanks.
 
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friend said:
I'm given to understand that the internal symmetries of particle physics, U(1)SU(2)SU(3), does not depend on the dimensionality or curvature of the background spacetime. If the present particle symmetry is internal, than how can there be a unification of the forces that make the forces indistinguishable when the particle symmetries themselves continue to be distinctly U(1)SU(2)SU(3)? I wouldn't think that U(1)SU(2)SU(3) depends on energy since that is just motion through space which it does not depend on. Any help is appreciated. Thanks.

I did find this website that seems to explain a lot:

http://www.damtp.cam.ac.uk/research/gr/public/cs_phase.html

So the question is if phase transitions, falling of the false vacuum, and symmetry breaking are all referring to the same thing. Or maybe they all happen at the same time.