The lack of evidence that the earth is the center of the universe..you are familiar with this, no?
I think you are trying to say *unique* evidence, not just evidence.
That was the point of Sir Fred Hoyle's quote:
"We know that the difference between a heliocentric theory and a geocentric theory is one of relative motion only, and that such a difference has no physical significance."
Sir Fred Hoyle, Astronomy and Cosmology, 1975, p. 416, (Quoted in Spring, 02 BA, p.64.)
Do you understand what 'no physical significance' means?