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Aaron Bergman

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comment And old hat with a new plume
The answer to this question is in the comment thread to Tao's post anyways.
Jun
10
comment Explanations for mathematicians, about the falsifiability (or not) of string theory
This is not the place to have these discussions, which are not about math, yet again.
Jun
10
comment Explanations for mathematicians, about the falsifiability (or not) of string theory
Voted down because this isn't a math question. Nonetheless, string theory could be falsified if we could figure out how to accelerate elementary particles up to the Planck scale. Since that seems to be slightly out of the realm of experimental possibility, the answer is no at the moment. Someone could come up with something clever, though.
May
28
comment Fixed point theorems
Now there's a name from Usenet past.
May
26
awarded  Nice Answer
Apr
2
comment Would a closed universe with special relativity violate causality? Does the universe have to be simply connected?
Was a little too quick there -- there are closed spacelike curves; just not the first things that come to mind.
Apr
2
comment Would a closed universe with special relativity violate causality? Does the universe have to be simply connected?
This should probably be closed because it's pretty standard. First of all, you don't really mean closed geodesics (which would be examples of closed timelike curves, ie, time travel). You want a universe with some foliation of spacelike compact surfaces. The easiest example is a cylinder: S^1 x R. For the twin paradox to hold, you would need the Lorentz group to act isometrically on this space for a given flat metric. But, it's easy to see that the full Lorentz group won't act here. In fact, the choice of a metric defines for you a distinguished frame, solving the 'paradox'.
Mar
4
awarded  Nice Answer
Dec
27
answered Motivation of Virasoro algebra