Re: extra dimensions
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Posted by ronron on December 11, 19100 at 14:18:11:
In Reply to: Re: extra dimensions posted by phobos on December 07, 19100 at 14:22:24:
so you use the metric and make use of manifold's property to let you do differentiation locally ? you don't need to worry about a more globally compact set ? does this then mean that string theorists don't worry about having a topological cover for the compactified dimensions ? for example, if a compactified dimension is parametrized by a single real variable, you would have to chop off part of the dimension to compactify it, it seems. sounds like we're getting into the nasty world of coordinate patches.
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