*To recapitulate and clarify the argument:*

*Firstly, by "universe" I mean the observable and unobservable regions 
defining our expanding bubble. **Since the universe is expanding, we could 
run to clock backward and imagine enclosing it in a sphere, say, 
establishing that the observable region is finite in spatial extent. (It's 
actually measured to have a radius of 46 BLY.)*

*As for the unobservable region. let's assume it's infinite in spatial 
extent. If so, this couldn't have occurred in sta**ges, say by expansion, 
since no matter how fast it might expand, or for how large a length of 
time, it would remain finite throughout, and could never achieve infinite 
status. Hence, the only way it could be infinite in spatial extent, would 
be for it to be UN-created. This option is falsified by the CMBR, which is 
predicted by the Big Bang. That is, empirical evidence affirms it had a 
starting time. Moreover, as previously argued, if it is now infinite in 
spatial extent, it would have had to expand *i*nstantaneously **to 
infinity. Since I consider this physically impossible -- which is my 
unproven and likely unprovable assumption -- by two lines of argument our 
bubble must be finite in spatial extent.** Finally, being finite in spatial 
extent, it cannot be flat, since that implies infinite in spatial extent 
(assuming it's not toroidal). General conclusion: no need to do any 
measurements. Using a purely logical argument, our bubble is finite in 
spatial extent and cannot have a flat global geometry. It's likely global  
geometry is **approximately spherical*,* since it's expanding in all 
directions from every point in spacetime and is approximately isotropic. AG*

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