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Generalized Hyperbolic Octonion Formulation for the Fields of Massive Dyons and Gravito-Dyons

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Abstract

The close analogy between electromagnetic theory and linear gravity is discussed by the hyperbolic (split) octonion formalism. Using the similarities between the relevant field equations of massive dyons in electromagnetic theory and gravito-dyons in linear gravity, a new mathematical model is proposed to formulate these fields in a compact and simple form. The generalized wave equation including both massive dyon and monopole terms is derived. Similarly, the most generalized form of hyperbolic octonionic Klein–Gordon equation is obtained for the hypothetical particle carrying simultaneously both electromagnetic and gravitational charges (masses).

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Authors and Affiliations

  1. Department of Physics, Science Faculty, Anadolu University, 26470, Eskişehir, Turkey

    Süleyman Demir & Murat Tanışlı

  2. Department of Physics, Faculty of Art and Science, Dumlupınar University, 43100, Kütahya, Turkey

    Mustafa Emre Kansu

Authors
  1. Süleyman Demir
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  2. Murat Tanışlı
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  3. Mustafa Emre Kansu
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Correspondence to Süleyman Demir.

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Demir, S., Tanışlı, M. & Kansu, M.E. Generalized Hyperbolic Octonion Formulation for the Fields of Massive Dyons and Gravito-Dyons. Int J Theor Phys 52, 3696–3711 (2013). https://doi.org/10.1007/s10773-013-1675-3

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  • DOI: https://doi.org/10.1007/s10773-013-1675-3

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