so...
If rotating one entangled particle here causes the other particle on the far side of the solar system to rotate...
This simply isn't the case, that isn't what entanglement means... though certainly many a sci-fi story has claimed otherwise.
We know of no way to transmit data faster than the speed of light, and there are good reasons to say that is impossible... could there be a loophole we haven't discovered? I guess its possible, but it would require a lot of rewriting of the foundations of physics, and would throw causality out the window.