Non-Associativity of Lorentz Transformation and Associative Reciprocal Symmetric Transformation

Mushfiq Ahmad and Muhammad Shah Alam

MPRA Paper from University Library of Munich, Germany

Abstract: 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.

Keywords: Lorentz boost; Non-associativity; Reciprocity Principle; Reciprocal Symmetric Transformation; Thomas Precession; Quaternionic transformation; Pauli quaternion; Spin; Clifford algebra (search for similar items in EconPapers)
JEL-codes: C65 (search for similar items in EconPapers)
Date: 2014-01-01, Revised 2014-04-08
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Published in International Journal of Reciprocal Symmetry and Theoretical Physics 1.1(2014): pp. 9-19

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