Mathematical Physics

    

Principles for the Hypercomplex Electrodynamics

Authors: Vyacheslav Telnin

In classical electrodynamics, four-vectors with four real numbers t, x, y, z are used. It is noted that the same result can be achieved with the help of quaternions with three real numbers x, y, z and one imaginary i * t. This suggests that we can go further, and consider all four numbers t, x, y, z complex. And deal with quaternions with complex coefficients (a + i * t), (x + i * b), (y + i * c), (z + i * d). These objects, for the sake of brevity, we call octads. But you can go even further, and work with quaternions, where all four numbers t, x, y, z also quaternionic. For the sake of brevity, we call these objects Q2 numbers. All next text deals with the generalization of classical electrodynamics onto the languages of octads and Q2 numbers.

Comments: 30 Pages.

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Submission history

[v1] 2021-03-14 20:18:01
[v2] 2021-04-30 12:47:03

Unique-IP document downloads: 222 times

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