Do gravitons exist in loop quantum gravity?

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jby
Does Loop Quantum Gravity support the existence of graviton?
I can't imagine how is it possible that graviton can exist if it is to agree with GR, since GR says that gravity is merely a curvature of spacetime and is isn't a force.

GR => SR => time dilation & length contraction =>> how does graviton be able to explain time dilation and stuff like that? Am I missing something here?
 

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Do you understand how you can have time dilation and length contraction in classical linearized gravity?

No, I don't. Can you explain?