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Spinor Structure and Modulo 8 Periodicity

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 نشر من قبل Vadim Varlamov
 تاريخ النشر 2014
  مجال البحث فيزياء
والبحث باللغة English
 تأليف V. V. Varlamov




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Spinor structure is understood as a totality of tensor products of biquaternion algebras, and the each tensor product is associated with an irreducible representation of the Lorentz group. A so-defined algebraic structure allows one to apply modulo 8 periodicity of Clifford algebras on the system of real and quaternionic representations of the Lorentz group. It is shown that modulo 8 periodic action of the Brauer-Wall group generates modulo 2 periodic relations on the system of representations, and all the totality of representations under this action forms a self-similar fractal structure. Some relations between spinors, twistors and qubits are discussed in the context of quantum information and decoherence theory.



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