The orbital maths you used had been proven on Earth by experiment. It didn't require the evokation of hyperdimensions to prove it...
And yet the concept that these orbital maths put forth was far different from what the science of the day had decided. Much of it was scoffed against until people finally started seeing that these were indeed facts. So as i view it, when i see theories and such being put down because they seem wild and new, i just remember thats how these maths were views until they were proven to be right (you relize they were only published in a paper shortly after kepler died, so that no one could argue with him about them. They were made by careful measurements done by brahe, a feat in itself that took years to do, and then it even more years for kepler to make his laws and publish them. When they were made they were revolutionary thought, outside of the realm of thought that had driven most of europe during this time period.)
That analogy is not valid. You cannot keep using it. The planets his theories apply to actually exist, they were observable in his time. You also recently made a comparison between modern cosmologies and philospohy (not science) and the flat earth concept. Again, invalid as testing the earth for flatness is a simple experiment that even prehistoric migrations could disprove.
Show me a superstring or some dark matter that we can perform experiments on. Purely hypothetical contructs will remain such. These comparisons you draw are not valid.
Real scientific theory rolls on, dealing with subjects that can be involved in real world experiments. (e.g CERN's international collider project).
I do not rule out anything as impossible, however new scientific theories must apply to reality, not fictional constructs.
Take quatum theory as an example. As improbable (pun intended) as it seems; it actually applies to real matter, stuff that can be validated by experiment. (the
d orbital is a beautiful thing, the stuff of life...)
A theory that relates to hypothetical material cannot ever be validated, its a pretty safe way to guarantee continued funding for otherwise lackluster feilds of study. (Math, Philosophy, Psychology, Cosmology).
In my view there are two pure sciences. Physics and chemistry, with chemistry just being a very large subset of physics. These sciences deal with that which is real. These sciences provide results that we can actually use.