I mean the principle of relativity (not the theory of relativity), i.e. the fact that the laws of physics are exactly the same in any (inertial) frame of refere

I mean the principle of relativity (not the theory of relativity), i.e. the fact that the laws of physics are exactly the same in any (inertial) frame of reference and you cannot tell at which speed you're moving except relative to something. A rotating reference frame is different. A local experiment can tell you whether you're rotating and how fast you're rotating.