10 Dimensions

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


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
$${\tilde \sigma _0} = 1,\quad {\tilde \sigma _j} = - {e_{L7}}{q_j},j = 1,2,3,\quad {\tilde \sigma _{p + 3}} = - i{e_{Lp}},p = 1, \ldots ,6.$$


String Theory Dirac Operator Division Algebra Clifford Algebra Hermitian Matrice 
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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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