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On the dimensionality of spacetime | | Max Tegmark
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25 Feb 1997 | | Journal: | Class.Quant.Grav. 14 (1997) L69-L75 | | Subject: | gr-qc hep-ph hep-th | | Affiliation: | IAS | | Abstract: | Some superstring theories have more than one effective low-energy limit, corresponding to classical spacetimes with different dimensionalities. We argue that all but the 3+1-dimensional one might correspond to ``dead worlds’’, devoid of observers, in which case all such ensemble theories would actually predict that we should find ourselves inhabiting a 3+1-dimensional spacetime. With more or less than one time-dimension, the partial differential equations of nature would lack the hyperbolicity property that enables observers to make predictions. In a space with more than three dimensions, there can be no traditional atoms and perhaps no stable structures. A space with less than three dimensions allows no gravitational force and may be too simple and barren to contain observers. | | Source: | arXiv, gr-qc/9702052 | | Services: | Forum | Review | PDF | Favorites | |
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