Command Line Quaternions: Gamma Matrices

2,231 views · Published 5 November 2007 · 1:13 · Indexed 18 October 2026

Channel: Doug Sweetser · 2007 · Science & Technology

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Gamma matrices are used in relativistic quantum field theory calculations.  De Leo Nad researchers in Mexico (J. Lopex-Bonilla, L. Rosales-Roldan, and A. Xuniga-Segundo) have noticed that quaternion triple products can do the same work algebraically.  Starting with one quaternion world line, 16 new ones can be generated by mixing up where t, x, y, and z go within the quaternion.

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