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Non-Associativity of Lorentz Transformation and Associative Reciprocal Symmetric Transformation

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  • Ahmad, Mushfiq
  • Alam, Muhammad Shah

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.

Suggested Citation

  • Ahmad, Mushfiq & Alam, Muhammad Shah, 2014. "Non-Associativity of Lorentz Transformation and Associative Reciprocal Symmetric Transformation," MPRA Paper 55869, University Library of Munich, Germany, revised 08 Apr 2014.
    • Handle: RePEc:pra:mprapa:55869
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    References listed on IDEAS

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    1. Unknown, 1986. "Letters," Choices: The Magazine of Food, Farm, and Resource Issues, Agricultural and Applied Economics Association, vol. 1(4), pages 1-9.
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    More about this item

    Keywords

    Lorentz boost; Non-associativity; Reciprocity Principle; Reciprocal Symmetric Transformation; Thomas Precession; Quaternionic transformation; Pauli quaternion; Spin; Clifford algebra;
    All these keywords.

    JEL classification:

    • C65 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Miscellaneous Mathematical Tools

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