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| Tags: compactification, spacetime |
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#1
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Was the compactification of spacetime as string theory requires is
necessery? Can we consider our 4 dimensional universe embedded in higher dimensional (dimM4) spacetime? there are arguments that shows (as done in zwiebach's a first course in string theory chapter 2) additional spatial dimensions must be comapct to a very small scale so that our force laws should retain their inverse square nature. so can someone clarify this? |
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#2
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talal wrote:
Was the compactification of spacetime as string theory requires is necessery? Can we consider our 4 dimensional universe embedded in higher dimensional (dimM4) spacetime? there are arguments that shows (as done in zwiebach's a first course in string theory chapter 2) additional spatial dimensions must be comapct to a very small scale so that our force laws should retain their inverse square nature. so can someone clarify this? This is explained in chapters 3.5 (also 3.4) and 3.10 of Barton Zwiebachs book. The force law is proportional to r^(d-1) for d spatial dimensions. However, the compactified dimensions do not enter the equation if r is larger then the size of the compactified dimension. Andreas. |
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