The Unification of Gravity with Electromagnetism in the Classical Newtonian Region, with an Explanation of the Crookes Radiometer, and a Model for “Dark Matter”
Maxwell wrote that he wanted to “leaven” his Treatise on Electromagnetism with Quaternions. Maxwell died before doing this. Silberstein and Conway accomplished this partially. This presentation claims the Lorenz condition field is proportional to the gravitational potential. This results in a gravitic-electromagnetic unification in the classical Newtonian region. An explanation of the Crookes radiometer is given and a model for dark matter is presented.
References
[1]
Graves, R.P. (1889) Life of William Rowan Hamilton. Dublin University Press.
[2]
Whitaker, E.T. (1945) The Sequence of Ideas in the Discovery of Quaternions. Proceedings of the Royal IrishAcademy: Section A, Dublin, 93-98.
[3]
Kennedy, S. and Gamache, R. (1996) A Geometric-Algebra Treatment of the Feynman-Vernon-Hellwarth Space in the Two-State Problem. American Journal of Physics, 64, 1475-1482. https://doi.org/10.1119/1.18418
[4]
Crowe, M.J. (1967) A History of Vector Analysis. University of Notre Dame Press.
[5]
Maxwell, J.C. (1870) Letters to P.G. Tait November 14 Reprinted in Crowe, M.J. (1967-1994). In: A History of Vector Analysis, Dover Publications, 131-133.
[6]
Conway, A.W. (1911) On the Application of Quaternions to Some Recent Development of Electrical Theory. Proceedings of the Royal Irish Academy: Section A, Dublin, 1.
[7]
Silberstein, L. (1912) LXXVI. Quaternionic Form of Relativity. The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, 23, 790-809. https://doi.org/10.1080/14786440508637276
[8]
Silberstein, L. (1913) XIV. Second Memoir on Quaternionic Relativity. The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, 25, 135-144. https://doi.org/10.1080/14786440108634317
Guth, A. (1997) The Inflationary Universe. Persius Press.
[11]
Frauenfelder, H. and Henley, E. (1974) Subatomic Physics. Prentice Hall, 240-241.
[12]
Pauli, W. and Weisskopf, V. (1934) Über die Quantisierung der skalaren relativistischen Wellengleichung. Helvetica Physica Acta, 7, 7.
[13]
Silberstein, L. (1924) Theory of Relativity. 2nd Edition, Macmillan.
[14]
Conway, A.W. (1913) The Quaternionic Form of Relativity. Philosophical Magazine, 24, 208.
[15]
Anderson, E.K., Baker, C.J., Bertsche, W., Bhatt, N.M., Bonomi, G., Capra, A., et al. (2023) Observation of the Effect of Gravity on the Motion of Antimatter. Nature, 621, 716-722. https://doi.org/10.1038/s41586-023-06527-1
[16]
Hulse, R.A. (1975) A High Sensitivity Pulsar Search. Doctoral Dissertations, University of Massachusetts Amherst.
[17]
Rubin, V.C. and Ford, W.K.J. (1970) Rotation of the Andromeda Nebula from a Spectroscopic Survey of Emission Regions. The Astrophysical Journal, 159, 379. https://doi.org/10.1086/150317
[18]
Trimble, V. (1987) Existence and Nature of Dark Matter in the Universe. Annual Review of Astronomy and Astrophysics, 25, 425-472. https://doi.org/10.1146/annurev.astro.25.1.425