Every grammar school student knows that Galileo simultaneously dropped two unequally sized cannonballs from the top of the Leaning Tower of Pisa, and that they appeared to free-fall to the Earth at the same time. Similar experiments have been performed many times, all with similar absolute results. It is thus common knowledge that gravity causes all bodies to free-fall (accelerate) equally, regardless of their mass.
But, what would happen if it now turned out that Galileo’s simple law of the equal gravitational fall of all unequal masses…was not valid? What if the apparent equal fall of two unequally sized cannonballs toward the Earth was just a very close approximation: in effect, an illusion? What if it could be demonstrated that the smaller cannonball actually fell faster than the larger cannonball? What if, on a much larger scale, the very different gravitational accelerations of various sized opposing masses can actually be observed?
In other words, what if Galileo’s simple “law” of equal gravitational acceleration of all unequal masses was just an explainable paradox? Might the entire theoretical house of cards, which is built upon Galileo’s “simple law” of equal gravitational acceleration of all unequal bodies, also fall?