Non-Associativity of Lorentz Transformation and Associative Reciprocal Symmetric Transformation

Ahmad, Mushfiq and Alam, Muhammad Shah (2014): Non-Associativity of Lorentz Transformation and Associative Reciprocal Symmetric Transformation. Published in: International Journal of Reciprocal Symmetry and Theoretical Physics , Vol. 1, No. 1 (15 April 2014): pp. 9-19.

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.

• Item Type: MPRA Paper
• Commentary on: Eprints 0 not found.
• Language: English
• Keywords: Lorentz boost; Non-associativity; Reciprocity Principle; Reciprocal Symmetric Transformation; Thomas Precession; Quaternionic transformation; Pauli quaternion; Spin; Clifford algebra
• Subjects: C - Mathematical and Quantitative Methods > C6 - Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C65 - Miscellaneous Mathematical Tools

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