“To prove that Newtonian Physics does not represent the reality that we inhabit . . . . “
That may be an unnecessary undertaking. Newtonian Physics is one tool of many at our disposal, so its “representation” of reality is limited, but it is not false.
It is good to see an increase in knowledge that expands our understanding of reality. The creation is complex enough that we will never fully comprehend most of it.
In the end it will be shown that all things visible and invisible are subject to a certain One whose incarnation, birth, suffering, death, resurrection, and ascension took place at just the right time and in just the right place.
Newtonian physics has unbreakable rules, particularly on earth; you can’t jump off a cliff without a wing suit and expect to fly.