Mathematical Physics

    

Lorentz Covariance of the Octonion Covariant Derivative

Authors: Richard D. Lockyer

The Octonion covariant derivative form applied to an inertial frame of reference velocity transformation requires Lorentz covariance if the two components in rotational and irrotational field types are to maintain proper relative sign and equivalent scale post transformation. Similar to the other Octonion fields different from the magnetic and electric fields, the expected hyperbolic rotation of electric field into the magnetic field and magnetic field into electric field are produced by application of the covariant derivative on Octonion potential function algebraic elements. Also presented are 8-current, 8-work-force and Octonion Poynting vector covariant forms for inertial frame of reference velocity transformations.

Comments: 12 Pages.

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[v1] 2023-03-25 02:17:58

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