It may or may not be fallacious. Relativity says it's a valid model, but obviously not true since that would almost undeniably imply design.
So let's look at it another way:
Is there one technological or medical advance that would be hindered by it? In other words, what knowledge that truly contributes to the enrichment of the peace and prosperity of mankind is abated by a geocentric view of the universe?
So let's look at it another way:
Is there one technological or medical advance that would be hindered by it? In other words, what knowledge that truly contributes to the enrichment of the peace and prosperity of mankind is abated by a geocentric view of the universe?