General Science and Philosophy

    

Dimension of Physical Space

Authors: Gunn Quznetsov

Each vector of state has its own corresponing element of the Cayley–Dickson algebra. Properties of a state vector require that this algebra was a normalized division algebra. By the Hurwitz and Frobenius theorems maximal dimension of such algebra is 8. Consequently, a dimension of corresponding complex state vectors is 4, and a dimension of the Clifford set elements is 4x4. Such set contains 5 matrices - among them - 3 diagonal. Hence, a dimension of the dot events space is equal to 3+1.

Comments: 5 Pages.

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[v1] 2014-08-06 05:48:43

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