Ether and photons In biquaternionic presentation

International Journal of Applied Physics
© 2020 by SSRG - IJAP Journal
Volume 7 Issue 1
Year of Publication : 2020
Authors : Alexeyeva L.A

pdf
How to Cite?

Alexeyeva L.A, "Ether and photons In biquaternionic presentation," SSRG International Journal of Applied Physics, vol. 7,  no. 1, pp. 96-101, 2020. Crossref, https://doi.org/10.14445/23500301/IJAP-V7I1P114

Abstract:

The paper is related to the construction of solutions of biquaternionic equation of either. It is Electro-Gravimagnetic (EGM) field equation which is generalization of Maxwell equations for EM-field in biquaternions algebra. The special class of solutions of this biquaternionic wave (biwave) equation is mono-chromatic wave solutions that describe periodic oscillations and waves of a fixed frequency. Here, fundamental and generalized solutions of this equation are constructed and studies that describe photons as EGM waves of a fixed frequency, emitted by EGM charges and EGM currents. Solutions of the homogeneous biwave equation are also constructed that describe free photons as free EGM waves of a fixed frequency. The density and motion of photons, their energy-momentum are determined. Solutions of the homogeneous biwave equation are also constructed that describe free photons as free EGM waves of a fixed frequency. Based on them, a biquaternion representation of light and its energy-momentum density are given.

Keywords:

ether, electro-gravimagnetic field, biquaternion, photon, Maxwell equation, stationary oscillations, energy-momentum, light

References:

[1] Alexeyeva L.A. The equations of interaction of A-fields and the laws of Newton. News of National Academy of Sciences of Kazakhstan. A physical and mathematical series, 2004, No. 3, 45-53 (in Russian).
[2] Alexeyeva L.A. Field analogues of Newton's laws for one model of the electro-gravimagnetic field. Hypercomplex numbers in geometry and physics, 6(2009), No. 1, 122-134 (in Russian).
[3] Alexeyeva L.A. Newton’s laws for a biquater-nionic model of electro-gravimagnetic fields, charges, currents, and their interactions, Journal of Physical Mathematics, 2009, issue 1. Article ID S090604, 5 pages, doi:10.4303/jpm/S090604
[4] Alexeyeva L. A. Biquaternionic Form of Laws of Electro- Gravimagnetic Charges and Currents Interactions. Journal of Modern Physics, 2006, issue 7, 1351–1358. http://dx.doi.org/10.4236/jmp.2016.711121.
[5] Alexeyeva L.A. Biquaternionic model of electrogravimagnetic fields an interactions. Advances in theoretical and computational physics, 2(2019), issue 6, 1-8 (presented, Abstracts of 2nd Global Summit on Physics. Plenary forum, Paris. 26-27 September 2019, 19).
[6] Hamilton W. R. On a new Species of Imaginary Quantities connected with a theory of Quaternions. Proceedings of the Royal Irish Academy, Nov 13, 1843, 424–434.
[7] Edmonds J.D. Eight Maxwell equations as one quaternionic. Amer. J. Physics, 46(1978), No. 4, 430.
[8] Shpilker G.L. Hypercomplex solutions of Maxwell's equations. Reports of Academy of Sciences of USSR. 272(1983), No 6, 1359-1363.
[9] Rodrigues, W. A., Jr., Capelas de Oliviera E. Dirac and Maxwell equations in the Clifford and spin Clifford bundles. Int. Journal of Theoretical Physics, 29(1990), 397– 412.
[10] Finkelstein D., Jauch J. M., Schiminovich S., Speiser D. Foundations of quaternion quantum mechanics. J. Math. Phys, 3(1992), No. 2, 207–220.
[11] Adler S. L. Quaternionic quantum mechanics and quantum fields. New York: Oxford University Press, 1995.
[12] De Leo S., Rodrigues Jr. W. A. Quaternionic quantum mechanics: from complex to complexities quaternions. Int. J. Theor. Phys. -36 (1997), 2725–2757.
[13] Efremov A.P. Quaternions: Algebra, Geometry and Physical Theories. Hypercomplex Numbers in Geometry Physics, 2004, No.1, 111-127.
[14] Acevedo M., Lopez-Bonilla J., Sanchez - Meraz M. Quaternions, Maxwell Equations and Lorentz Transformations, Apeiron, 12(2005), No. 4, 371-379.
[15] Marchuk N.G. Clifford Field Theory and Algebra Equations. Moscow-Izhevsk, 2009.
[16] Alexeyeva L.A. Biquaternions algebra and its applications by solving of some theoretical physics equations. Clifford Analysis, Clifford Algebras and their Applications, 7(2012), No 1, 19-39.
[17] Alexeyeva L.A. Hamiltonian form of Maxwell equations and its generalized solutions. Differential Equations, 39(2003), No. 6, 769-776.
[18] Vladimirov V.S. The equations of mathematical physics, Moscow:Nauka, 1976 (in Russian).