Split-octonion - Applications

Applications

Split-octonions are used in the description of physical law. For example, (a) the Dirac equation in physics (the equation of motion of a free spin 1/2 particle, like e.g. an electron or a proton) can be expressed on native split-octonion arithmetic, (b) the supersymmetric quantum mechanics has an octonionic extension (see references below).

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