Non-Associativity of Lorentz Transformation and Associative Reciprocal Symmetric Transformation

Lorentz transformation is not associative. The non-associativity makes it frame dependent; and it does not fulfill relativistic requirements including reciprocity principle. The non associativity also leads to ambiguities when three or more velocities are involved. We have proposed an associative Reciprocal Symmetric Transformation (RST) to replace Lorentz transformation. RST is complex and is compatible with Pauli and Dirac algebra.

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Year of publication:	2014-01-01
Authors:	Ahmad, Mushfiq ; Alam, Muhammad Shah
Institutions:	Volkswirtschaftliche Fakultät, Ludwig-Maximilians-Universität München
Subject:	Lorentz boost \| Non-associativity \| Reciprocity Principle \| Reciprocal Symmetric Transformation \| Thomas Precession \| Quaternionic transformation \| Pauli quaternion \| Spin \| Clifford algebra

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Extent:	application/pdf
Series:	MPRA Paper.
Type of publication:	Book / Working Paper
Notes:	Published in International Journal of Reciprocal Symmetry and Theoretical Physics 1.1(2014): pp. 9-19
Classification:	C65 - Miscellaneous Mathematical Tools
Source:	RePEc - Research Papers in Economics

Persistent link: https://ebvufind01.dmz1.zbw.eu/10011110837