The fact as I know it is the Round Earth Community cannot agree on a single model.
This is
totally incorrect. Firstly, there is
no "round earth community"—as there is a flat earth
community. 100 percent of the world's contemporary scientists agree unequivocally on the spherical earth model, as do 99.999 percent of the general population.
Instead they either piecemeal together various unrelated theories to form a larger framework that is by nature different than any of the parts- not their sum - or they create new ones to hope to address the current standing issues with the new model.
Can you please quote me a few of these alleged "unrelated theories" that geophysicists cobble together to form a non-cohesive whole? I haven't read of any.
And this is a classic non sequitur: "they create new ones to hope to address the current standing issues with the new model" Again, can you please quote me a few of these current "standing issues", and also how the alleged "new" model differs from the old one?
The various model types even have submodels which are disagreed upon by different physicists.
And these alleged "submodels" are referenced where? Can you list a couple of "different physicists" names—who you claim disagree on the spherical earth model?
Science, up to now at least, has been an art of abstraction and estimation. Theories and laws approximate realities, but only that.
Absolutely absurd on both counts! Science is by definition the most accurate of all the "arts". Science
never speaks in abstract terms. And its estimates are incredibly accurate—the Earth's standard acceleration due to gravity of g = 9.80665 m/s
2 should prove that. Theories do
not "approximate" realities. Theories are based on peer-reviewed hypotheses which in turn are based on observable and replicable phenomena. Or are you now going to claim that gravity isn't real?
The more one learns about Round Earth science the more one sees its true way - fragmented internally and externally.
Can you please explain what you mean by fragmented "internally" and "externally"? This phrase doesn't make any sense to me.