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10 Dimensions

  • Geoffrey M. Dixon
Part of the Mathematics and Its Applications book series (MAIA, volume 290)

Abstract

There is every reason to believe that the (1,3)-Minkowski geometry is secondary. Our model building is not based upon the Pauli algebra, P L , from which is made the Dirac algebra for R 1,3, but upon T L , which bears a similar relationship to R 1,9 (see 4.2 and 4.4). Define
$${\tilde \sigma _0} = 1,\quad {\tilde \sigma _j} = - {e_{L7}}{q_j},j = 1,2,3,\quad {\tilde \sigma _{p + 3}} = - i{e_{Lp}},p = 1, \ldots ,6.$$
(6.1)
.

Keywords

String Theory Dirac Operator Division Algebra Clifford Algebra Hermitian Matrice 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media Dordrecht 1994

Authors and Affiliations

  • Geoffrey M. Dixon
    • 1
  1. 1.Brandeis UniversityUSA

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