Well there are plenty of closed two-manifolds, so I'd think the shape / topology of our universe would be far more complex. I suppose now would be the time to point out that I find a finite-dimensional universe also dubious. I think the universe must be infinitely-dimensional with many finite-dimensional objects in it. And, of course, finitely-dimensional outer-space-ish manifolds being some of those objects, with smaller-dimensional objects in them.
To claim that the universe is expanding though is to claim that universe.size(t) > universe.size(t-1). But such a relation dictates that the latter is finite, unless we have that the size of the universe is expanding from R to 2^R to 2^(2^R), etc. But since I'm sure you'd agree the universe's expansion must be continuous, how is this possible?
Your logarithmic interpretation of time makes sense, but what is it logarithmic in reference to? time as a function of what? THETA(ln(x)), where x is what?
And, ultimately, the concept of a "source" is what I intuitively find unbelievable. That's the basic conflict I have with the concept of a single god (now, the concept of multiple gods, who are really just more potent sentient beings than ourselves and can alter our observable universe as we might move things around in a guinea pig's cage--that's a concept I can suppose at least).
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Date: 2006-10-19 05:10 am (UTC)To claim that the universe is expanding though is to claim that universe.size(t) > universe.size(t-1). But such a relation dictates that the latter is finite, unless we have that the size of the universe is expanding from R to 2^R to 2^(2^R), etc. But since I'm sure you'd agree the universe's expansion must be continuous, how is this possible?
Your logarithmic interpretation of time makes sense, but what is it logarithmic in reference to? time as a function of what? THETA(ln(x)), where x is what?
And, ultimately, the concept of a "source" is what I intuitively find unbelievable. That's the basic conflict I have with the concept of a single god (now, the concept of multiple gods, who are really just more potent sentient beings than ourselves and can alter our observable universe as we might move things around in a guinea pig's cage--that's a concept I can suppose at least).
It makes the most