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Quantized spaces are four-dimensional compact manifolds with de-Sitter (O(1,4) or O(2,3)) group of motion | | A.N.Leznov
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26 Oct 2004 | | Subject: | hep-th | | Abstract: | It is shown uniquely that quantized spaces are realised on four-dimensional compact manifolds. In the case of O(1,5) quantized space this are four independent parameters of O(5) unit vector; in the case of O(2,4) these are parameters of one two-dimensional unit vector (1 parameter) and components of unit four-dimensional vector (3- parameters) and at last in the case O(3,3) these are parameters of 2 independent 3-dimensional unit vectors (each have 2 parameters). This result follows directly only from the condition to have a correct limit to usual theory (correspondence principle). | | Source: | arXiv, hep-th/0410255 | | Services: | Forum | Review | PDF | Favorites | |
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