Rotating a concrete slab?
Slab on grade is probably the kind of pour you are referring to.

The problem is only partially one of lifting the slab, the other half is having the slab rest again on the grade.

These kinds of concrete pours fill all the irregularities of the ground they are poured upon.  If one could lift the slab without slab damage, the setting of the slab on a new position of the grade would likely not match the irregularities in the same exact positions.  This means your slab would be unsupported in some spots, and have new pressure points in others.

While one would hope that the weight of the slab pushes down the high points.  In reality, the weight of the slab does so by bending at the high points while applying pressure.  Since typical formulations of concrete aren't designed to be heavily flexible, the bending introduces fractures and causes premature failure of the slab.

I would look into augmenting the existing slab without attempting to move it.