Unless you are willing to accept William A. Wallace O.P. as an authority on Galileo
I am willing to recognize William A. Wallace O.P. as an authority on Galileo. That said, I simply do not agree with his assertions about the scientific nature of the case, simply because I understand celestial mechanics and he apparently doesn’t. Let me quote your OP to show you a problem with his reasoning:
As quoted above, Cardinal Bellarmine noted to Galileo that if heliocentrism could be objectively demonstrated then the scriptures that seemed to support geocentrism should and would be reassessed. Though he added “but this is not a thing to be done in haste”. The problem was that Galileo and the minority of scholars who accepted heliocentrism at that stage had not objectively proven heliocentrism, since there were still several objections that they had not fully answered and which were not answered until long after Galileo’s death (the stellar parallax problem was not definitively answered until 1838).
While stellar parallax is a direct proof of Earth motion, it’s not like the non-observation of stellar parallax was fatal to Copernicanism.
First, the charge was addressed by Galileo himself in
Dialogo, where he calculated that expected change in star’s position was so small, that it could not be measured (at the time).
Second, even if I were to agree that Galileo failed to prove heliocentrism, a much more important fact is that he has definitely managed to disprove geocentrim. And he had a direct proof that geocentrism is wrong from the observation of phases of Venus, as the observed sequence of phases of Venus cannot be explained in a Ptolemaic system.
On top of that, he had a tentative proof from the observation of moons of Jupiter. This one was more philosphical in nature, but it does not make it less powerful. Aristotle (after Ptolemy) taught that everything rotates around Earth; yet, here are these four bodies which rotate around Jupiter. Even if it doesn’t disprove the theory, it is a major blow.
Another major challenge to Ptolemy came from Kepler. Nowadays, we know that planets simply move through vaccum. But neither Ptolemy nor Aristotle had the notion of vacuum, and they taught that planets (and stars) reside on transparent spheres and these spheres rotate. Of course, that immediately run into a problem how to explain the apparent retrograde motion of planets, which was known since Antiquity. The solution was that the planet is not really fixed to the sphere, but is moving on it in small circles, called epicycles. That said, epicycycles were kind of arcane knowledge shared only among the professionals.
Enter Kepler. Kepler decides to verify Copernicus’ model by comparing calculated position of planets versus observation. He gets a very good match, except for Mars; the planet’s position of is off by two arc minutes. He sets off to explain that, and finds that the planetary orbits are not circular, but elliptical. I don’t think Kepler believed in crystal spheres, but his discovery killed the notion for everyone who still did, simply because it is rather difficult to imagine a shape which, rotating around its center, would draw an ellipse.
So… the planets move in ellipses through space. But, as pointed out in
Dialogo, they must move through vacuum, because if the planet were moving through air, it would eventually stop due to air resistance. Problem was, the Church, after Aristotle, taught that vaccum does not exist. The reason for that was that the vaccum has no substance, but if there is something which has no substance, that means Aristotle’s substance theory is wrong. This is a big deal, because transsubstantiation – the core belief of Catholicism – critically relies on Aristotle’s substance theory.
So there you have it. Galileo has literally blown up the Aristotelean system. He proved that Earth is not the center of the world, and he (well, Kepler) proved that planets move through vaccum, which means that there is vaccum. (NB - at the time vaccum was so politically incorrect, that immediately after discovering it Torricelli did not publish, but wrote a letter to Pascal describing the experiment and asking him to continue.) And given that Church doctrine at the time was really stronlgy tied to Aristotelean system (arguably, it still is) a falsification of Aristotle essentially meant falsification of Catholicism.
And all that comes in a rather bad time for the Catholic Church. The protestant reformation is in full swing, and so is the counter-reformation effort. Across the Alps, a bloody Catholic-Protestant war has been raging for years (and the Catholics are losing it). At home, new translation of ancient works received via Arabs and via Constantinosple are being printed every day. The Church no longer has a monopoly on truth, and atheism is growing. And then comes this guy with a telescope who claims that the Church is wrong, and the Aristotle is wrong. And is book becomes an instant bestseller, and Dawkinses of the time are quoting it left and right to prove that there is no God.
Clearly, something had to be done.
The most revolting part is that Inquisition was prosecuting Galileo for publishing a book its own censors have approved earlier, as evidenced by the court transcript:
The book was handed over by me to the Father Inquisitor of Florence and by the Father Inquisitor to the above mentioned Father Giacinto Stefani; the latter returned it to the Father Inquisitor, who sent it to Mr. Niccolò dell’ Antella, reviewer of books to be printed for the Most Serene Highness of Florence; the printer, named Landini, received it form this Mr. Niccolò and, having negotiated with the Father Inquisitor, printed it, observing strictly every order given by the Father Master of the Sacred Palace.