paper 150122031206

Published: 2015-07-09

Lorentz-like Transformations for the Velocity and Acceleration

Zi-Hua Weng

Xiamen University, China

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Proceedings of 2015 Photonics & Electromagnetics Research Symposium, Prague, July 6 - 9，Page(s)1357-1361

Abstract

Making use of the orthogonal transformation in the complex quaternion coordinate system, it is able to deduce directly invariants relevant to the radius vector and velocity, drawing out the Lorentz transformation and so forth, without the help of introducing the basic postulate. When the coordinate system transforms orthogonally from one to the other, the scalar part of and norm of one complex quaternion physical quantity will remain invariable respectively. Therefore the coordinate transformation between two three-dimensional coordinate systems, in the presence of relative movement, is equivalent to the orthogonal transformation between two complex quaternion coordinate systems. The above means that the paper is able to derive the Galilean and Lorentz transformations and so on for the radius vector, velocity, and acceleration. Especially it is not necessary to introduce additionally the invariant or basic postulate into the complex quaternion space, to deduce the coordinate transformations.

Citation

Zi-Hua Weng, "Lorentz-like Transformations for the Velocity and Acceleration," Proceedings of 2015 Photonics & Electromagnetics Research Symposium, Prague, July 6 - 9，Page(s)1357-1361

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