bapowell,
Okay, I suppose I can try and reformulate the argument in even more concise terms.
1) The known universe is, at its macroscopic limits, at its overall boundary, three dimensional.
2)Therefore everything that exists within it exists within those three dimensional confines...
Introduction
The premise that our universe might have more spatial dimensions than the three that are immediately apparent is so widespread and popular that it is nearly accepted already as a fact despite the absence of evidence. This is primarily the result of two separate influences: the...
I really enjoyed The Poincare Conjecture by Donal O'Shea.
(https://www.amazon.com/dp/080271532X/?tag=pfamazon01-20)
It does a good job in my opinion of presenting topology as a fascinating subject as well as discussing the proof of the Poincare conjecture and the backgrounds of some...