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The precessional frequency of a gyroscope in the quaternionic formulation of general relativity

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Abstract

The precessional frequency of a gyroscope in a reference frame that orbits about a gravitational body is compared between Einstein's tensor formulation of general relativity and the author's quaternion generalization—obtained from a factorization of the tensor form. The difference in predictions then suggests an experiment that could choose which of these formulations of general relativity is more valid in the analysis of gyroscopic motion.

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References

  1. M. Sachs,General Relativity and Matter (Reidel, Dordrecht, The Netherlands, 1982), Sect. 2.15.

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  2. Ibid.,, Sect. 7.3.

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  3. Ibid.,, Sect. 3.11.

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  4. Ibid.,, Eqs. (6.50ab).

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  5. Ibid.,, Sect. 7.4.

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Authors and Affiliations

  1. Department of Physics and Astronomy, State University of New York at Buffalo, 14260, Guffalo, New York

    Mendel Sachs

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  1. Mendel Sachs
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Sachs, M. The precessional frequency of a gyroscope in the quaternionic formulation of general relativity. Found Phys 19, 105–108 (1989). https://doi.org/10.1007/BF00737770

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  • DOI: https://doi.org/10.1007/BF00737770

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