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We have shown that successive Lorentz transformations (LT) lead to ambiguous values for time and space, because of Wigner rotation and associated non associativity of LT. We have proposed a reciprocal symmetric transformation (RST) which gives unique values for time and space. RST also gives a rotation comparable to Wigner rotation. RST is complex. We have shown that the imaginary part corresponds to spin of Dirac electron.

Keywords

Lorentz Transformation, Lorentz Invariance, Wigner Rotation, Thomas Precession, Associativity, Reciprocal Symmetric Transformation, Reciprocal Symmetry, Pauli Matrices, Spin.
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