Geocentrism "worked" as well. :idunno:
With enough epicycles, predicting the positions of the planets was more accurate than doing so using a nascent heliocentric model.
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...And yet the Heliocentric model turned out to be right.
When something better than Quantum Mechanics and Relativity turns up, the theories will be replaced or modified. It hasn't happened yet.
What is it in Modern Physics that bothers you so much? Is there some theological problem there?