What is the only thing that cannot change within motion?

Well according to quantum mechanical interpretations of reality an object’s motion (momentum) and its location are simultaneously (un)knowable, so I’m not sure what the answer here is, even if I give you the rest of your axioms and elaborations

Edit: no offense or attempt to reduce meant, but it almost feels to me like you just took the word “energy” in physics and replace it with “motion” but I’m just not sure what all that means or encompasses, thanks for taking the time to discuss in many of my threads I really appreciate it!

What is the only thing that cannot change within motion?

Well according to quantum mechanical interpretations of reality an object’s motion (momentum) and its location are simultaneously (un)knowable, so I’m not sure what the answer here is, even if I give you the rest of your axioms and elaborations